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b(13)434 3089 y(3.4.3)93 b(Minimizacija)28 b(energije)22
b(.)41 b(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)
f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(14)434 3189 y(3.4.4)93 b(Ovisnost)27 b(deformacije)f(re\262etk)n(e)h
(o)g(v)-5 b(alnom)27 b(v)n(ektoru)f Fy(K)34 b FB(.)41
b(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(15)434 3288 y(3.4.5)93 b(K)n(omen)n(tar)26 b(dinami\243)n(k)n(e)g
(aproksimacije)39 b(.)j(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h
(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123 b(17)243 3388
y(3.5)84 b(A)n(dijabatsk)-5 b(a)26 b(aproksimacija)39
b(.)j(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h
(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(17)434 3488 y(3.5.1)93 b(Uv)n(o)r(d)21 b(.)41 b(.)h(.)f(.)h(.)f(.)h
(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)
f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(17)434 3587 y(3.5.2)93 b(Opra)n(vdanost)25 b(adijabatsk)n(e)h
(aproksimacije)80 b(.)42 b(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h
(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123 b(17)434 3687 y(3.5.3)93
b(Energija)27 b(i)h(v)-5 b(alna)27 b(funk)n(cija)h(Holsteino)n(v)n(og)d
(rje\262enja)82 b(.)42 b(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)
g(.)f(.)h(.)123 b(18)243 3787 y(3.6)84 b(T)-7 b(roparametarsk)i(a)24
b(v)-5 b(alna)27 b(funk)n(cija)43 b(.)e(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h
(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)
f(.)h(.)123 b(19)434 3886 y(3.6.1)93 b(Uv)n(o)r(d)21
b(.)41 b(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)
f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h
(.)f(.)h(.)g(.)f(.)h(.)123 b(19)434 3986 y(3.6.2)93 b(K)n(onstruk)n
(cija)26 b(v)-5 b(arijacione)26 b(v)-5 b(alne)27 b(funk)n(cije)41
b(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h
(.)g(.)f(.)h(.)123 b(19)434 4085 y(3.6.3)93 b(Deformacija)27
b(re\262etk)n(e)80 b(.)41 b(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g
(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)
h(.)123 b(20)434 4185 y(3.6.4)93 b(Minimizacija)28 b(v)-5
b(arijacionog)25 b(izraza)h(za)h(energiju)45 b(.)d(.)f(.)h(.)f(.)h(.)g
(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123 b(22)243
4285 y(3.7)84 b(Numeri\243)n(k)-5 b(a)26 b(meto)r(da)56
b(.)41 b(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)
g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f
(.)h(.)123 b(25)434 4384 y(3.7.1)93 b(Uv)n(o)r(d)21 b(.)41
b(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h
(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)
h(.)g(.)f(.)h(.)123 b(25)434 4484 y(3.7.2)93 b(Primjena)22
b(n)n(umeri\243)n(k)n(e)e(meto)r(de)h(na)g(slu\243a)5
b(j)21 b(harmoni\243)n(k)n(og)e(oscilatora)g(u)i(k)n(onstan)n(tnom)699
4584 y(v)-5 b(anjsk)n(om)27 b(p)r(olju)53 b(.)42 b(.)f(.)h(.)f(.)h(.)f
(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)
h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123 b(25)434
4683 y(3.7.3)93 b(K)n(ori\262tenje)31 b(n)n(umeri\243)n(k)n(e)g(meto)r
(de)i(u)g(pronala\272enju)e(osno)n(vnog)f(stanja)i(Holsteino)n(v)n(og)
699 4783 y(hamiltonijana)k(.)42 b(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f
(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)
f(.)h(.)f(.)h(.)g(.)f(.)h(.)123 b(26)118 4965 y Fz(4)77
b(Rezultati)2938 b(29)243 5065 y FB(4.1)84 b(Uv)n(o)r(d)27
b(.)42 b(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)
h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h
(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123 b(29)243 5165
y(4.2)84 b(Energija)27 b(p)r(olarona)e(impulsa)j Fy(K)g
Fx(=)23 b(0)41 b FB(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h
(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(29)243 5264 y(4.3)84 b(Energija)27 b(p)r(olarona)e(impulsa)j
Fy(K)g Fw(6)p Fx(=)23 b(0)41 b FB(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g
(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)
h(.)123 b(33)243 5364 y(4.4)84 b(Deformacija)26 b(re\262etk)n(e)d(.)41
b(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f
(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)
123 b(33)243 5464 y(4.5)84 b(Efektivna)27 b(masa)47 b(.)41
b(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h
(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)
f(.)h(.)123 b(36)p eop
%%Page: 2 2
2 1 bop 3620 -240 a FB(2)118 51 y Fz(5)77 b(Primjena)30
b(MCM-a)i(na)g(realne)f(\034zik)-5 b(alne)32 b(susta)m(v)m(e)1464
b(37)243 150 y FB(5.1)84 b(Uv)n(o)r(d)27 b(.)42 b(.)g(.)f(.)h(.)f(.)h
(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)
h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g
(.)f(.)h(.)123 b(37)243 250 y(5.2)84 b(T)-7 b(rans-p)r(oliacetilen)25
b(i)j(SSH)g(hamiltonijan)83 b(.)42 b(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)
h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(37)434 349 y(5.2.1)93 b(Uv)n(o)r(d)21 b(.)41 b(.)h(.)f(.)h(.)f(.)h(.)
g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f
(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(37)434 449 y(5.2.2)93 b(Osno)n(vno)26 b(stanje)h(nedopiranog)f
(trans-p)r(oliacetilena)40 b(.)i(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)
f(.)h(.)g(.)f(.)h(.)123 b(38)243 549 y(5.3)84 b(V)-7
b(eza)27 b(izme\236u)h(SSH)g(i)g(Holsteino)n(v)n(og)d(hamiltonijana)64
b(.)42 b(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)
g(.)f(.)h(.)123 b(38)434 648 y(5.3.1)93 b(Elektron-fonon)27
b(me\236udjelo)n(v)-5 b(anje)56 b(.)42 b(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)
f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(38)434 748 y(5.3.2)93 b(Osno)n(vno)26 b(stanje)h(sistema)g(s)h
(jednim)g(dopiranim)f(elektronom)70 b(.)42 b(.)f(.)h(.)f(.)h(.)f(.)h(.)
g(.)f(.)h(.)123 b(39)434 848 y(5.3.3)93 b(Zaklju\243ak)54
b(.)42 b(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)
h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g
(.)f(.)h(.)123 b(41)118 1030 y Fz(6)77 b(Zaklju\243ak)2922
b(43)118 1213 y(7)77 b(Do)s(daci)3031 b(45)243 1312 y
FB(7.1)84 b(Do)r(datak)27 b(A)78 b(.)41 b(.)h(.)f(.)h(.)f(.)h(.)g(.)f
(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)
f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(45)243 1412 y(7.2)84 b(Do)r(datak)27 b(B:)g(K)n(oheren)n(tna)f
(stanja)73 b(.)41 b(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h
(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(46)434 1512 y(7.2.1)93 b(Uv)n(o)r(d)21 b(.)41 b(.)h(.)f(.)h(.)f(.)h
(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)
f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(46)434 1611 y(7.2.2)93 b(K)n(oheren)n(tna)26 b(stanja)63
b(.)42 b(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)
h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(46)434 1711 y(7.2.3)93 b(Neki)28 b(k)n(orisni)e(izrazi)74
b(.)42 b(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)
h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(47)434 1811 y(7.2.4)93 b(Oznak)n(e)75 b(.)41 b(.)h(.)f(.)h(.)g(.)f(.)
h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f
(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(48)243 1910 y(7.3)84 b(Do)r(datak)27 b(C:)g(Izraz)g(za)g(v)-5
b(arijacion)n(u)26 b(energiju)h(VV)h(funk)n(cije)k(.)41
b(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(48)243 2010 y(7.4)84 b(Do)r(datak)27 b(D:)h(Izraz)e(za)h(v)-5
b(arijacion)n(u)26 b(energiju)h(u)h(dinami\243)n(k)n(o)5
b(j)26 b(aproksimaciji)63 b(.)41 b(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(54)243 2110 y(7.5)84 b(Do)r(datak)27 b(G:)g(F)-7 b(orm)n(ulacija)27
b(op)r(\242eg)g(oblik)-5 b(a)27 b(p)r(olaronsk)n(e)e(v)-5
b(alne)28 b(funk)n(cije)59 b(.)42 b(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h
(.)123 b(54)243 2209 y(7.6)84 b(Do)r(datak)27 b(E:)h(T)-7
b(ransformacija)25 b(SSH)j(Hamiltonijana)55 b(.)42 b(.)f(.)h(.)f(.)h(.)
f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(55)434 2309 y(7.6.1)93 b(Uv)n(o)r(d)21 b(.)41 b(.)h(.)f(.)h(.)f(.)h
(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)
f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(55)434 2408 y(7.6.2)93 b(F)-7 b(ononski)27 b(dio)g(hamiltonijana)65
b(.)42 b(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)
h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123 b(55)434
2508 y(7.6.3)93 b(Elektronki)27 b(dio)h(SSH-o)n(v)n(og)d(hamiltonijana)
i(i)h(elektron-fonon)699 2608 y(me\236udjelo)n(v)-5 b(anje)44
b(.)e(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h
(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)123
b(57)434 2707 y(7.6.4)93 b Fy(H)768 2719 y Fv(d;int)944
2707 y FB(u)28 b(bazi)f(dimerizirane)f(re\262etk)n(e)i(.)41
b(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h
(.)f(.)h(.)g(.)f(.)h(.)123 b(58)118 2890 y Fz(8)77 b(Literatura)2898
b(63)p eop
%%Page: 3 3
3 2 bop 3620 -240 a FB(3)118 51 y FA(1)131 b(Uv)l(o)t(d)118
249 y Fu(1.1)112 b(P)m(olaroni)118 402 y FB(Problem)36
b(p)r(olarona)e(p)r(o)r(\243etno)i(se)f(v)n(ezao)g(uz)h(opis)f(sp)r
(orog)f(v)n(o)r(dljiv)n(og)h(elektrona)f(\(ili)j(\262upljine\))g(un)n
(utar)e(p)r(o-)118 502 y(larne)25 b(kristalne)g(re\262etk)n(e.)35
b(Njego)n(v)n(o)24 b(prisustv)n(o)h(p)r(olarizira)f(ok)n(oln)n(u)g
(re\262etku,)i(o)r(dnosno)f(do)n(v)n(o)r(di)f(do)i(prostornih)118
602 y(p)r(omak)-5 b(a)33 b(iona)h(un)n(utar)f(molekula)g(aso)r(ciranih)
g(njezinim)h(\243v)n(orovima.)54 b(Svi)34 b(ti)g(p)r(omaci)g(za)5
b(jedno)33 b(pridru\272eni)118 701 y(su)39 b(prostorno)5
b(j)37 b(deformaciji)i(re\262etk)n(e,)h(a)f(dip)r(oli)g(p)r
(olarizaciji.)70 b(P)n(olarizacija)38 b(onda)g(p)r(o)n(vratno)f
(\(privla\243no\))118 801 y(djeluje)f(na)f(elektron)f(i)h(smanjuje)g
(njego)n(vu)f(energiju,)j(te)e(je)g(elektron,)h(giba)5
b(ju\242i)35 b(se)f(kroz)g(kristal,)i(vu\243e)f(za)118
900 y(sob)r(om.)57 b(T)-7 b(ak)i(a)n(v)33 b(se)h(elektron)f(i)i
(pridru\272eno)e(m)n(u)h(samosuglasno)e(p)r(olarizacijsk)n(o)g(p)r
(olje)j(mo\272e)e(tretirati)h(k)-5 b(ao)118 1000 y(kv)g
(azi-\243estica,)26 b(i)i(tu)g(kv)-5 b(azi-\243esticu)27
b(onda)g(zo)n(v)n(emo)e(p)r(olaron.)243 1100 y(K)n(oncept)31
b(p)r(olarona)g(uv)n(eo)g(je)i(P)n(ek)-5 b(ar)31 b([1].)51
b(No,)33 b(sam)f(problem)g(p)r(olarona)e(dio)i(je)h(klasi\243ne)e
(\034zik)n(e)h(\243vrstog)118 1199 y(stanja,)g(i)f(p)r(o)5
b(ja)n(vio)30 b(se)h(prvi)g(puta)g(1933,)g(k)-5 b(ada)30
b(je)i(Landau)f([2)o(])h(iznio)f(ideju)h(samouh)n(v)-5
b(ata)29 b(elektrona)h(u)i(NaCl)118 1299 y(kristalu,)25
b(u)g(p)r(oku\262a)5 b(ju)25 b(da)g(ob)5 b(jasni)24 b(F)i(cen)n(tre.)35
b(Od)25 b(tada)g(pa)g(do)g(dana\262njih)g(dana,)g(p)r(o)5
b(jam)25 b(p)r(olarona)e(pro\262iren)118 1399 y(je)35
b(na)g(elektrone)f(v)n(ezane)g(za)g(nep)r(olarne)g(kristalne)g
(re\262etk)n(e,)i(te)f(jo\262)g(mnoge)f(druge)g(\034zik)-5
b(alne)35 b(sisteme.)59 b(Do)118 1498 y(sada)28 b(su)g(napra)n(vljena)f
(mnoga)g(teoretsk)-5 b(a)28 b(i)g(eksp)r(erimen)n(talna)f(iztra\272iv)
-5 b(anja)28 b(na)g(tem)n(u)h(p)r(olarona,)e(k)-5 b(ak)n(o)27
b(bi)i(se)118 1598 y(ob)5 b(jasnila)29 b(sv)n(o)5 b(jstv)-5
b(a)28 b(v)n(o)r(dljiv)n(osti,)i(opti\243)n(ki)g(efekti,)h(itd,)g(un)n
(utar)f(raznih)f(materijala.)43 b(P)n(olaronima)29 b(se)g(tuma\243i)118
1697 y(i)35 b(p)r(o)5 b(ja)n(v)-5 b(a)34 b(supra)n(v)n(o)r(dljiv)n
(osti,)g(difuzija)h(lakih)g(in)n(tersticijskih)f(atoma)g(un)n(utar)g
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4258 y(p)r(ogla)n(vlju.)p eop
%%Page: 4 4
4 3 bop 3620 -240 a FB(4)p eop
%%Page: 5 5
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499 y(nasta)n(vku)c(go)n(v)n(oriti,)g(k)n(ori\262tene)g(su)h(sp)r(omen)
n(ute)h(simetrije.)118 731 y Fu(2.3)112 b(Osno)m(vno)39
b(stanje)f(Holsteino)m(v)m(og)d(hamiltonijana,)373 848
y(parametarski)i(prostor)g Fj(J)n(;)17 b(\025;)g(K)118
1001 y FB(U)30 b(o)n(v)n(om)d(radu)i(tra\272e)f(se)h(aproksimativni)f
(izrazi)g(za)h(osno)n(vno)e(stanje)i(Holsteino)n(v)n(og)e
(hamiltonijana)i(u)g(o)n(vis-)118 1100 y(nosti)j(o)g(prametrima)f
Fy(J)o(;)14 b(!)s(;)g(\025;)g(K)6 b FB(.)50 b(Lak)n(o)31
b(se)h(je)g(uvjeriti)h(da)f(se)g(dv)-5 b(a)32 b(osno)n(vna)e(stanja)i
(istog)f(v)-5 b(alnog)31 b(v)n(ektora)118 1200 y Fy(K)45
b FB(razlikuju)39 b(samo)f(ak)n(o)g(su)i(im)f(pridru\272eni)g
(razli\243iti)g(omjeri)g Fy(J)s(=!)s(;)14 b(\025=!)s
FB(.)71 b(Stoga)39 b(je)g(p)r(ogo)r(dno)g(de\034nirati)118
1300 y(o)r(dgo)n(v)-5 b(ara)5 b(ju\242i)35 b(troparametarski)f(prostor)
h(u)j(k)n(o)5 b(jem)36 b(sv)-5 b(ak)n(o)5 b(j)36 b(to)r(\243)n(ki)h(o)r
(dgo)n(v)-5 b(ara)35 b(tek)i(jedno)g(osno)n(vno)e(stanje.)118
1399 y(U)h(skladu)f(s)g(time)g(u)h(o)n(v)n(om)e(radu)g(\034ksiran)h(je)
g(parametar)f Fy(!)s FB(,)j(tak)n(o)d(da)h(su)g(dobiv)n(eni)g
(rezultati)g(pridru\272eni)118 1499 y(razli\243itim)27
b(vrijednostima)g Fy(J)o(;)14 b(\025;)g(K)6 b FB(.)p
eop
%%Page: 7 7
7 6 bop 3620 -240 a FB(7)118 51 y FA(3)131 b(Pronala\272enje)44
b(osno)l(vnog)g(stanja)f(Holsteino)l(v)l(og)315 200 y(hamiltonijana)118
398 y Fu(3.1)112 b(Uv)m(o)s(d)118 552 y Fz(3.1.1)94 b(Ograni\243enja)32
b(na)g(parametarski)g(prostor)g Fy(J)o(;)14 b(\025;)g(K)118
705 y FB(U)23 b(svrh)n(u)e(pronala\272enja)f(sp)r(ektra)i
(hamiltonijana)f(mora)5 b(ju)21 b(se)h(k)n(oristiti)f(aproksimativne)g
(metode)h(jer)g(se)g(prob-)118 805 y(lem)i(ne)g(mo\272e)f(rije\262iti)h
(analiti\243)n(ki.)34 b(Dobiv)n(eni)24 b(rezultati)f(onda,)h(o)n(visno)
e(o)h(aproksimaciji)f(k)n(o)5 b(ja)22 b(je)i(primjenjena,)118
904 y(biv)-5 b(a)5 b(ju)39 b(pribli\272no)f(dobri)g(tek)g(na)h(dijelo)n
(vima)f(parametarsk)n(og)d(prostora)h Fy(J)o(;)14 b(\025;)g(K)6
b FB(.)69 b(U)39 b(tipi\243nim)h(elektron-)118 1004 y(fonon)35
b(sistemima,)h(k)n(o)5 b(ji)34 b(su)h(predmet)g(o)n(v)n(og)e(rada,)i
(efektivna)g(masa)f(elektrona)f Fy(m)p FB(,)k(u)e(o)r(dsustvu)g
(elektron-)118 1103 y(fonon)28 b(me\236udjelo)n(v)-5
b(anja,)29 b(je)f(uvijek)h(znatno)f(manja)g(o)r(d)h(mase)f(\243v)n
(ori\262ta)e(re\262etk)n(e)h Fy(M)9 b FB(.)39 b(Nas)29
b(zanima)e(p)r(o)r(dru\243je)118 1203 y(parametarsk)n(og)d(prostora)h
Fy(J)o(;)14 b(\025;)g(K)q(;)51 b FB(za)27 b(k)n(o)5 b(je)27
b(vrijedi)1833 1173 y Ft(6)1380 1402 y Fx(1)p Fy(=)p
Fx(2)p Fy(m)21 b Fx(=)i Fy(J)31 b Fw(\035)23 b Fy(!)j
Fx(=)2037 1327 y Fs(p)p 2120 1327 234 4 v 75 x Fy(K)2191
1414 y Fv(r)2227 1402 y Fy(=)-5 b(M)31 b(:)1156 b FB(\(5\))118
1535 y(No)24 b(problem)g(nala\272enja)f(v)-5 b(alnih)24
b(funk)n(cija)h(p)r(olarona)d(za)i(sv)n(e)f(vrijednosti)h
Fy(K)30 b FB(un)n(utar)23 b(prv)n(e)h(Brillouino)n(v)n(e)e(zone,)118
1635 y(i)31 b(uz)f(uvijet)h(\(5\),)g(osta)5 b(je)30 b(slo\272en,)g(pa)g
(smo)g(pa\272nju)h(u)f(o)n(v)n(om)f(radu)h(ograni\243ili)f(na)h(stanja)
g(s)g(malim)h(impulsom)118 1734 y(p)r(olarona.)55 b(Stoga)33
b(\242e)h(se,)h(osim)f(ak)n(o)e(to)i(nije)h(p)r(osebno)e(nap)r(omen)n
(uto,)i(pre\262utno)f(pretp)r(osta)n(vljati)f(da)g(v)-5
b(alni)118 1834 y(v)n(ektor)26 b Fy(K)33 b FB(pridru\272en)27
b(impulsu)h(p)r(olarona)e(uvijek)i(zado)n(v)n(olja)n(v)-5
b(a)25 b(uvijet)1510 2033 y Fx(2)p Fy(J)8 b Fx(\(1)18
b Fw(\000)g Fx(cos)13 b Fy(K)6 b(a)o Fx(\))23 b Fy(<)g(!)j(:)1285
b FB(\(6\))118 2166 y(Drugim)34 b(rije\243ima,)g(promatrat)f(\242emo)g
(samo)f(one)i(slu\243a)5 b(jev)n(e)32 b(elektron-re\262etk)-5
b(a)32 b(me\236udjelo)n(v)-5 b(anja)33 b(u)h(k)n(o)5
b(jima)118 2266 y(je)34 b(kineti\243)n(k)-5 b(a)34 b(energija)f(slob)r
(o)r(dnog)g(elektrona)f(manja)i(o)r(d)g(energije)f(p)r(otrebne)h(za)f
(p)r(obudu)i(jednog)e(fonona.)118 2365 y(Primjetimo)28
b(da)g(je)f(zb)r(og)g(\(5\),)h(uvijet)g(\(6\))g(dosta)f(strog,)f(tj.)38
b(da)27 b(o)r(dgo)n(v)-5 b(ara)25 b(zah)n(tjevu)i Fy(K)6
b(a)23 b Fw(\034)g Fx(1)p FB(.)118 2576 y Fz(3.1.2)94
b(T)-8 b(ri)32 b(p)s(o)s(dru\243ja)g(elektron-fonon)f(me\236udjelo)m(v)
-5 b(anja)118 2729 y FB(Ona)5 b(j)32 b(dio)g(parametarsk)n(og)d
(prostora)i(k)n(o)5 b(ji)32 b(je)h(preostao)e(p)r(oslije)h(sada)g(na)n
(v)n(edenih)g(restrik)n(cija,)g(na)5 b(jzgo)r(dnije)118
2829 y(je)32 b(p)r(o)r(dijeliti)g(na)f(tri)g(p)r(o)r(dru\243ja,)g(u)h
(o)n(visnosti)d(o)i(vrijednostima)f(parametara)f Fy(J)o(;)14
b(!)s(;)g(\025)p FB(.)47 b(Kada)30 b(je)h Fy(\025)f(<)e(!)k(<)c(J)118
2929 y FB(go)n(v)n(orimo)17 b(o)i(p)r(o)r(dru\243ju)g(slab)r(e)g
(elektron-fonon)f(v)n(eze.)34 b(T)-7 b(ada)18 b(se)h
Fy(H)2185 2941 y Fv(int)2299 2929 y FB(mo\272e)g(promatrati)e(k)-5
b(ao)19 b(mala)g(p)r(ertubacija)118 3028 y(u)j(o)r(dnosu)f(na)h
(ostatak)e(hamiltonijana,)i(\262to)g(o)r(dra\272a)n(v)-5
b(a)19 b(\243injenicu)j(da)g(je)g(za)f(pribli\272an)g(opis)g(p)r
(olarona)f(do)n(v)n(oljno)118 3128 y(uzeti)37 b(pro)r(cese)e(u)i(k)n(o)
5 b(jima)35 b(kv)-5 b(azislob)r(o)r(dan)35 b(elektron)h(me\236udjeluje)
h(samo)f(s)g(jednim)h(fononom.)63 b(U)37 b(granici)118
3228 y Fy(\025)24 b Fw(!)f Fx(0)e FB(amplituda)h(p)r(olarona)f(te\272i)
h(n)n(uli,)h(za)f(razliku)f(o)r(d)h(njego)n(v)n(og)e(efektivnog)h
(protezanja)g(k)n(o)5 b(je)21 b(ima)h(k)n(ona\243n)n(u)118
3327 y(vrijednost.)40 b(P)n(orast)28 b(parametra)f Fy(\025)i
FB(op)r(\242enito)g(uzrokuje)f(p)r(orast)g(amplitude)h(p)r(olarona,)e
(a)i(u)g(p)r(o)r(dru\243ju)g(slab)r(e)118 3427 y(v)n(eze)e(i)h(p)r
(orast)e(efektivnog)h(protezanja)f(p)r(olarona.)243 3526
y(P)n(o)r(dru\243jem)31 b(srednje)g(v)n(eze)f(smatra)g(se)h(p)r(o)r
(dru\243je)g(parametara)e(k)-5 b(ada)30 b(vrijedi)h Fy(!)h(<)c(\025)i
(<)e(J)8 b FB(.)48 b(U)31 b(njem)n(u)h(se)118 3626 y(ni)e(jedan)g
(\243lan)g(hamiltonijana)f(ne)h(mo\272e)f(tretirati)h(k)-5
b(ao)29 b(p)r(ertubacija,)h(pa)g(je)g(nala\272enje)f(njego)n(v)n(og)f
(osno)n(vnog)118 3726 y(stanja)21 b(slo\272enije.)35
b(Iak)n(o)20 b(se)i(za)f(dio)g(p)r(o)r(dru\243ja)h(srednje)f(v)n(eze,)i
(u)f(k)n(o)5 b(jem)n(u)20 b(je)i Fy(\025)i(>)e(!)j FB(tak)-5
b(a)n(v)21 b(da)g(vrijedi)h Fy(\025)3340 3696 y Fq(2)3377
3726 y Fy(=!)k(<)c(J)8 b FB(,)118 3825 y(u)24 b(literaturi)f(up)r
(otreblja)n(v)-5 b(a)23 b(p)r(o)5 b(jam)23 b(slab)r(og)f
(elektron-fonon)g(me\236udjelo)n(v)-5 b(anja,)24 b(problem)f(p)r
(olarona)f(je)i(znatno)118 3925 y(slo\272eniji)i(o)r(d)g(onoga)e(k)n(o)
5 b(ji)25 b(susre\242emo)g(za)h Fy(\025)d(<)g(!)s FB(.)36
b(Doprinosi)25 b(vi\262ih)h(redo)n(v)-5 b(a)24 b(elektron-fonon)h
(me\236udjelo)n(v)-5 b(anja)118 4025 y(se)19 b(ne)g(mogu)g(zanemariti.)
33 b(Prosje\243an)18 b(bro)5 b(j)19 b(fonona)f(u)h(p)r(olaron)n(u)f
(blizak)h(je)g(ili)h(v)n(e\242i)e(o)r(d)h(jedan,)i(pa)e(elektron)g
(sada)118 4124 y(me\236udjeluje)34 b(s)e(deformaciom)f(re\262etk)n(e)g
(opisanom)g(s)h(vi\262e)g(fonona.)50 b(P)n(orast)31 b(njego)n(v)n(e)g
(efektivne)h(mase)g(zb)r(og)118 4224 y(elektron-fonon)f(me\236udjelo)n
(v)-5 b(anja,)34 b Fy(m)1365 4236 y Fv(ef)1440 4224 y
FB(,)g(znatan)f(je)g(u)g(o)r(dnosu)f(na)h(njego)n(vu)f(efektivn)n(u)h
(masu)g(u)g(o)r(dsustvu)118 4323 y(elektron-fonon)21
b(me\236udjelo)n(v)-5 b(anja,)23 b Fy(m)p FB(,)g(pa)f(elektron)f(ne)i
(mo\272emo)e(smatrati)g(kv)-5 b(azislob)r(o)r(dnim.)35
b(Nap)r(omenimo)118 4423 y(jo\262)j(da)g(u)g(dijelu)g(p)r(o)r
(dru\243ja)g(srednje)g(v)n(eze,)i(efektivno)e(protezanje)f(p)r(olarona)
f(dosti\272e)i(sv)n(o)5 b(ju)37 b(maksimaln)n(u)118 4523
y(vrijednost,)27 b(o)r(d)h(k)n(o)5 b(je)26 b(se)i(daljnjim)g(p)r
(orastom)e(parametra)g Fy(\025)i FB(smanjuje.)243 4622
y(Nap)r(ok)n(on,)19 b(p)r(o)r(dru\243je)f(u)h(k)n(o)5
b(jem)n(u)17 b(je)i Fy(J)31 b(<)23 b(\025)p FB(,)e(de\034nira)d(p)r(o)r
(dru\243je)g(jak)n(e)g(v)n(eze.)33 b(U)19 b(njem)n(u)g(se)f(k)-5
b(ao)17 b(smetnja)i(mo\272e)118 4722 y(tretirati)j Fy(H)496
4734 y Fv(el)553 4722 y FB(.)36 b(Naime,)24 b(zb)r(og)e(jak)n(og)f
(elektron-fonon)g(me\236udjelo)n(v)-5 b(anja,)24 b(elektron)e(se)g
(nalazi)g(u)h(kv)-5 b(aziv)n(ezanom)118 4822 y(stanju)37
b(s)f(fononima)g(\243v)n(ora)e(na)i(k)n(o)5 b(jem)36
b(je)g(tren)n(utno,)j(te)d(tek)h(p)r(o)n(vremeno)e(tunelira)h(na)g
(susjedne)g(\243v)n(oro)n(v)n(e.)118 4921 y(Kak)n(o)26
b Fy(\025)j FB(raste)e(tak)n(o)g(se)h(smanjuje)g(efektivno)g
(protezanje)g(p)r(olarona)e(na)i(red)f(v)n(eli\243ine)h(k)n(on)n(tan)n
(te)f(re\262etk)n(e,)g(\262to)118 5021 y(o)r(dgo)n(v)-5
b(ara)25 b(p)r(o)5 b(ja)n(vi)27 b(samouh)n(v)-5 b(ata)26
b(elektrona.)118 5248 y Fu(3.2)112 b(Ra\243un)38 b(smetnje)f(za)h(p)s
(o)s(dru\243je)g(slab)s(e)g(v)m(eze)118 5402 y Fz(3.2.1)94
b(Uv)m(o)s(d)118 5555 y FB(Elektronsk)n(o-fononsk)n(o)24
b(me\236udjelo)n(v)-5 b(anje)28 b(u)g(p)r(o)r(dru\243ju)g(slab)r(e)g(v)
n(eze,)f(k)-5 b(ada)27 b(je)h Fy(\025)c(<)f(!)j Fw(\034)d
Fy(J)8 b FB(,)28 b(promatrat)e(\242emo)118 5654 y(prv)n(o)20
b(standardnim)h(ra\243unom)g(smetnje,)i(u)f(k)n(o)5 b(jem)21
b(se)g Fy(H)1910 5666 y Fv(int)2026 5654 y FB(tretira)f(k)-5
b(ao)21 b(p)r(ertubacija.)35 b(Kao)20 b(skup)i(nesmetanih)118
5754 y(stanja)c(sistema)g(uzima)h(se)f(direktni)h(pro)r(dukt)f(skupa)g
(stanja)g(slob)r(o)r(dnog)g(elektrona)f(i)i(skupa)f(fononskih)g
(stanja.)p 118 5796 1418 4 v 211 5850 a Fp(6)245 5873
y Fm(K)305 5881 y Fl(r)363 5873 y Fo(je)23 b(k)n(onstan)n(ta)j
(elasti\243ne)e(sile)f(re\262etk)n(e.)p eop
%%Page: 8 8
8 7 bop 3620 -240 a FB(8)118 51 y Fz(3.2.2)94 b(Energija)31
b(i)h(v)-5 b(alna)32 b(funk)m(cija)h(p)s(olarona)118
204 y FB(T)-7 b(ra\272imo)39 b(p)r(opra)n(vk)n(e)g(nesmetane)h(v)-5
b(alne)41 b(funk)n(cije)g(p)r(olarona)d(\243iji)k(je)e(fononski)g(dio)h
(dan)f(samo)g(osno)n(vnim,)118 303 y(b)r(ezfononskim)f(stanjem)h
(re\262etk)n(e:)59 b Fw(j)43 b Fy(k)s(;)14 b Fw(\000)42
b Fy(>)p Fx(=)g Fy(c)1770 264 y Fr(y)1770 329 y Fv(k)1854
303 y Fw(j)g Fx(0)h Fy(>)c FB(.)72 b(Prv)n(e)39 b(k)n(orek)n(cije)f
(energiji)h(i)g(v)-5 b(alno)5 b(j)39 b(funk)n(ciji)118
403 y(p)r(olarona,)26 b(razli\243ite)h(o)r(d)g(n)n(ule,)h(tada)f(su)g
(dane)h(u)g(2,)f(o)r(dnosno)f(1.)37 b(redu)27 b(ra\243una)f(smetnje)759
718 y Fy(E)825 675 y Fq(\(2\))820 743 y Fv(k)998 718
y Fx(=)82 b Fy(E)1206 730 y Fv(k)1266 718 y Fx(+)1349
639 y Fs(X)1393 813 y Fv(q)1493 662 y Fw(j)p Fy(<)22
b(k)g Fx(+)c Fy(q)s(;)c Fw(\000)p Fy(q)25 b Fw(j)e Fy(H)2070
674 y Fv(int)2187 662 y Fw(j)g Fy(k)s(;)14 b Fw(\000)23
b Fy(>)p Fw(j)2492 631 y Fq(2)p 1493 699 1036 4 v 1738
775 a Fy(E)1799 787 y Fv(k)1858 775 y Fw(\000)c Fy(!)i
Fw(\000)d Fy(E)2159 787 y Fv(k)q Fq(+)p Fv(q)544 984
y Fw(j)24 b Fy(k)s(;)14 b Fw(\000)22 b Fy(>)826 950 y
Fq(\(1\))998 984 y Fx(=)82 b Fw(j)23 b Fy(k)s(;)14 b
Fw(\000)23 b Fy(>)f Fx(+)1528 906 y Fs(X)1572 1080 y
Fv(q)1672 928 y Fy(<)g(k)f Fx(+)d Fy(q)s(;)c Fw(\000)p
Fy(q)26 b Fw(j)46 b Fy(H)2249 940 y Fv(int)2389 928 y
Fw(j)23 b Fy(k)s(;)14 b Fw(\000)23 b Fy(>)p 1672 965
999 4 v 1898 1041 a(E)1959 1053 y Fv(k)2019 1041 y Fw(\000)18
b Fy(!)j Fw(\000)d Fy(E)2319 1053 y Fv(k)q Fq(+)p Fv(q)2726
984 y Fw(j)23 b Fy(k)f Fx(+)c Fy(q)s(;)c Fw(\000)p Fy(q)25
b(>)e(;)118 1271 y FB(gdje)e(v)-5 b(alna)21 b(funk)n(cija)g
Fw(j)i Fy(k)s(;)14 b(q)26 b(>)p Fx(=)c Fy(c)1189 1231
y Fr(y)1189 1296 y Fv(k)1253 1271 y Fy(b)1289 1241 y
Fr(y)1289 1292 y Fv(q)1371 1271 y Fw(j)h Fx(0)g Fy(>)e
FB(,)h(ozna\243a)n(v)-5 b(a)19 b(da)i(u)g(sistem)n(u)g(imamo)g
(elektron)f(s)h(v)-5 b(alnim)21 b(v)n(ektorom)118 1371
y Fy(k)31 b FB(i)c(fonon)h(s)f(v)-5 b(alnim)28 b(v)n(ektorom)e
Fy(q)s FB(.)243 1470 y(Ak)n(o)h(primjetimo)g(da)h(je)1229
1669 y Fy(<)23 b(k)e Fx(+)d Fy(q)s(;)c Fw(\000)p Fy(q)26
b Fw(j)46 b Fy(H)1807 1681 y Fv(int)1947 1669 y Fw(j)23
b Fy(k)s(;)14 b Fw(\000)22 b Fy(>)p Fx(=)g Fy(\025=)2405
1595 y Fw(p)p 2475 1595 76 4 v 2475 1669 a Fy(N)1566
1852 y(E)1627 1864 y Fv(k)1691 1852 y Fx(=)h Fw(\000)p
Fx(2)p Fy(J)e Fx(cos)13 b Fy(k)s(a)23 b(;)118 2001 y
FB(ra\243unom)k(dobiv)-5 b(amo)888 2284 y Fy(E)954 2240
y Fq(\(2\))949 2309 y Fv(k)1126 2284 y Fx(=)83 b Fw(\000)p
Fx(2)p Fy(J)21 b Fx(cos)13 b Fy(k)s(a)18 b Fx(+)g Fy(\025)1812
2249 y Fq(2)1868 2284 y Fw(\001)h Fy(I)7 b Fx(\(0\))673
2429 y Fw(j)23 b Fy(k)s(;)14 b Fw(\000)23 b Fy(>)955
2395 y Fq(\(1\))1126 2429 y Fx(=)83 b(1)p Fy(=)1358 2355
y Fw(p)p 1426 2355 V 1426 2429 a Fy(N)32 b Fw(f)1567
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 477 1865 a 2827 1865 a
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 2827 1865
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s(o)s(dru\243ju)h(jak)m(e)h(v)m(eze)118 2539 y FB(Kada)28
b(je)h Fy(\025)g FB(do)n(v)n(oljno)f(v)n(elik,)g(p)r(olaron)g(je)h
(prakti\243)n(ki)e(p)r(otpuno)i(lok)-5 b(aliziran)28
b(na)g(jedan)h(\243v)n(or)f(re\262etk)n(e,)g(o)r(dnosno)118
2639 y(njego)n(v)n(o)40 b(efektivno)h(protezanje)g(o)r(dgo)n(v)-5
b(ara)39 b(k)n(onstan)n(ti)i(re\262etk)n(e,)j Fy(a)p
FB(.)79 b(T)-7 b(ak)n(o)40 b(u)i(na)5 b(jgrubljo)g(j)40
b(aproksimaciji)118 2738 y(mo\272emo)c(zanemariti)f(pro)r(cese)h
(tuneliranja)g(elektrona)f(na)h(susjedne)g(\243v)n(oro)n(v)n(e)e(i)j
(promatrati)e(kv)-5 b(aziv)n(ezano)118 2838 y(stanje)40
b(elektrona)f(s)i(fononima)e(\243v)n(ora)g Fy(j)45 b
FB(na)40 b(k)n(o)5 b(jem)n(u)40 b(se)g(on)g(tren)n(utno)g(nalazi.)74
b(T)-7 b(o)40 b(kv)-5 b(aziv)n(ezano)39 b(stanje)118
2938 y(opisuje)28 b(hamiltonijan)1290 3216 y Fy(H)1359
3228 y Fv(j)1477 3216 y Fx(=)83 b Fy(\025)24 b(c)1733
3176 y Fr(y)1733 3239 y Fv(j)1767 3216 y Fy(c)1803 3228
y Fv(j)1861 3216 y Fx(\()p Fy(b)1929 3176 y Fr(y)1929
3239 y Fv(j)1983 3216 y Fx(+)18 b Fy(b)2102 3228 y Fv(j)2136
3216 y Fx(\))h(+)f Fy(!)26 b(b)2384 3176 y Fr(y)2384
3239 y Fv(j)2418 3216 y Fy(b)2454 3228 y Fv(j)1477 3364
y Fx(=)83 b Fy(\025)24 b Fx(\()p Fy(b)1765 3324 y Fr(y)1765
3387 y Fv(j)1818 3364 y Fx(+)18 b Fy(b)1937 3376 y Fv(j)1972
3364 y Fx(\))g(+)g Fy(!)26 b(b)2219 3324 y Fr(y)2219
3387 y Fv(j)2254 3364 y Fy(b)2290 3376 y Fv(j)2347 3364
y Fy(:)118 3543 y FB(Zadnji)31 b(red)g(pretp)r(osta)n(vlja)f(da)g(je)i
(elektron)e(na)h(\243v)n(oru)f Fy(j)5 b FB(.)47 b(Dijagonalizacija)29
b Fy(H)2705 3555 y Fv(j)2772 3543 y FB(izv)n(edena)h(je)h(analiti\243)n
(ki,)g(te)118 3642 y(p)r(ok)-5 b(azuje)28 b(da)f(je)h(osno)n(vno)d
(stanje)j(hamiltonijana)f Fy(H)1825 3654 y Fv(j)1860
3612 y Ft(9)1312 3920 y Fy(S)1363 3932 y Fv(j)1398 3920
y Fx(\()p Fy(\030)t Fx(\))c Fw(j)h Fx(0)e Fy(>)83 b Fx(=)f
Fy(e)1970 3883 y Fv(\030)r(b)2031 3854 y Fi(y)2031 3903
y Fh(j)2063 3883 y Fr(\000)p Fv(\030)2147 3857 y Fi(\003)2182
3883 y Fv(b)2211 3891 y Fh(j)2269 3920 y Fw(j)24 b Fx(0)e
Fy(>)1661 4045 y(\030)87 b Fx(=)82 b Fw(\000)p Fy(\025=!)26
b(:)243 4224 y FB(K)n(oriste\242i)16 b(o)n(v)-5 b(a)5
b(j)18 b(rezultat)g(k)n(onstruira)5 b(jmo)15 b(translaciono)i(in)n(v)-5
b(arijan)n(tn)n(u)17 b(v)-5 b(arijacion)n(u)17 b(v)-5
b(aln)n(u)18 b(funk)n(ciju)h Fx(\011)3490 4236 y Fv(J)5
b(V)3590 4224 y Fx(\()p Fy(K)h Fx(\))118 4323 y FB(na)27
b(slijede\242i)h(na\243in)1049 4523 y Fx(\011)1114 4535
y Fv(J)5 b(V)1213 4523 y Fx(\()p Fy(K)h Fx(\))23 b(=)g(1)p
Fy(=)1549 4448 y Fw(p)p 1617 4448 76 4 v 1617 4523 a
Fy(N)1707 4444 y Fs(X)1751 4620 y Fv(j)1841 4523 y Fy(e)1880
4488 y Fv(iK)t(aj)2057 4523 y Fy(c)2093 4483 y Fr(y)2093
4546 y Fv(j)2151 4523 y Fy(S)2202 4535 y Fv(j)2236 4523
y Fx(\()p Fy(A)2330 4535 y Fv(J)5 b(V)2431 4523 y Fx(\))23
b Fw(j)g Fx(0)g Fy(>)46 b(:)783 b FB(\(14\))118 4753
y(Ona)26 b(opisuje)g(p)r(olaron)f(lok)-5 b(aliziran)25
b(na)h(jednom)g(\243v)n(oru)f(re\262etk)n(e)g(k)n(o)5
b(ji)26 b(se)g(propagira)d(du\272)k(re\262etk)n(e)e(v)-5
b(alnim)27 b(v)n(ek-)118 4853 y(torom)h Fy(K)6 b FB(.)39
b(Amplituda)29 b(deformacije)f(re\262etk)n(e)f Fy(A)1705
4865 y Fv(J)5 b(V)1805 4853 y FB(,)29 b(v)-5 b(arijacioni)28
b(je)h(parametar)d(p)r(o)j(k)n(o)5 b(jem)n(u)27 b(minimiziramo)118
4952 y(energiju)g Fy(E)495 4964 y Fv(J)5 b(V)567 5174
y Fy(E)628 5186 y Fv(J)g(V)751 5174 y Fx(=)849 5118 y
Fy(<)22 b Fx(\011)1001 5130 y Fv(J)5 b(V)1124 5118 y
Fw(j)23 b Fy(H)30 b Fw(j)23 b Fx(\011)1380 5130 y Fv(J)5
b(V)1503 5118 y Fy(>)p 849 5155 719 4 v 921 5231 a(<)23
b Fx(\011)1074 5243 y Fv(J)5 b(V)1196 5231 y Fw(j)24
b Fx(\011)1308 5243 y Fv(J)5 b(V)1430 5231 y Fy(>)1600
5174 y Fx(=)23 b Fw(\000)p Fx(2)p Fy(J)30 b(e)1910 5140
y Fr(\000)p Fv(A)2012 5115 y Fg(2)2012 5156 y Fh(J)t(V)2139
5174 y Fx(cos)13 b(\()p Fy(K)6 b(a)p Fx(\))18 b(+)g Fy(!)26
b(A)2690 5140 y Fq(2)2690 5195 y Fv(J)5 b(V)2808 5174
y Fx(+)18 b(2)p Fy(\025)23 b(A)3066 5186 y Fv(J)5 b(V)3189
5174 y Fy(:)243 5396 y FB(Minimizacija)27 b(p)r(o)h Fy(A)916
5408 y Fv(J)5 b(V)1043 5396 y FB(da)g(je)28 b(jednad\272bu)1114
5697 y Fy(A)1176 5709 y Fv(J)5 b(V)1359 5697 y Fx(=)83
b Fw(\000)1585 5641 y Fy(\025)p 1582 5678 55 4 v 1582
5754 a(!)2123 5641 y Fx(1)p 1679 5678 931 4 v 1679 5765
a(1)18 b(+)g(2)p Fy(J)s(=!)25 b(e)2071 5735 y Fr(\000)p
Fv(A)2173 5715 y Fg(2)2173 5756 y Fh(J)t(V)2300 5765
y Fx(cos)13 b(\()p Fy(K)6 b(a)p Fx(\))2643 5697 y Fy(;)p
118 5796 1418 4 v 211 5850 a Fp(9)245 5873 y Fo(Dijagonalizacija)24
b(hamiltonijana,)e Fm(H)1284 5883 y Fl(j)1316 5873 y
Fo(,)i(k)n(oheren)n(tna)i(stanja)e(i)f(op)r(erator)k
Fm(S)2303 5883 y Fl(j)2335 5873 y Fn(\()p Fm(\030)s Fn(\))p
Fo(,)d(detaljnije)f(su)h(obra\236eni)h(u)f(do)r(datku)h(B.)p
eop
%%Page: 11 11
11 10 bop 3578 -240 a FB(11)118 51 y(k)n(o)5 b(ja)30
b(se)g(n)n(umeri\243)n(ki)g(iterativnim)h(pro)r(cesom)f(lak)n(o)f
(rje\262a)n(v)-5 b(a.)45 b(Kak)n(o)29 b(nas)i(p)r(o)g(pretp)r(osta)n(v)
n(ci)e(zanima)h(p)r(o)r(dru\243je)118 150 y(za)d(k)n(o)5
b(je)27 b(vrijedi)g Fy(\025)d(>)e(J)31 b Fw(\035)23 b
Fy(!)s FB(,)28 b(o)r(dnosno)e(k)-5 b(ada)27 b Fy(\025=!)f
Fw(!)d(1)p FB(,)28 b Fy(A)2099 162 y Fv(J)5 b(V)2227
150 y FB(se)27 b(mo\272e)g(vrlo)g(dobro)f(aproksimirati)f(s)1051
455 y Fx(lim)984 512 y Fv(\025=!)r Fr(!1)1247 455 y Fy(A)1309
467 y Fv(J)5 b(V)1492 455 y Fw(\031)83 b(\000)1718 399
y Fy(\025)p 1715 436 55 4 v 1715 512 a(!)1825 455 y Fx([1)18
b Fw(\000)2001 399 y Fx(2)p Fy(J)p 2001 436 96 4 v 2022
512 a(!)2130 455 y(e)2169 421 y Fr(\000)p Fq(\()p Fv(\025=!)r
Fq(\))2390 396 y Fg(2)2463 455 y Fx(cos)13 b(\()p Fy(K)6
b(a)p Fx(\)])1492 682 y Fw(\031)83 b(\000)1718 626 y
Fy(\025)p 1715 663 55 4 v 1715 739 a(!)1802 682 y Fx(=)23
b Fy(\030)k(;)118 886 y FB(a)g(energija)g(susta)n(v)-5
b(a)26 b(s)1176 1085 y Fy(E)1237 1097 y Fv(J)5 b(V)1360
1085 y Fx(=)23 b Fw(\000)p Fx(2)p Fy(J)30 b(e)1670 1051
y Fr(\000)p Fq(\()p Fv(\025=!)r Fq(\))1891 1026 y Fg(2)1964
1085 y Fx(cos)13 b(\()p Fy(K)6 b(a)p Fx(\))19 b Fw(\000)f
Fy(\025)2424 1051 y Fq(2)2461 1085 y Fy(=!)25 b(:)911
b FB(\(15\))118 1301 y Fz(3.3.3)94 b(K)m(omen)m(tar)31
b(rezultata)i(v)-5 b(arijacionog)32 b(ra\243una)h(u)f(p)s(o)s
(dru\243ju)g(jak)m(e)h(v)m(eze)118 1454 y FB(Naglasimo)20
b(prv)n(o)g(da)h(je)h(pretp)r(osta)n(vk)-5 b(a)20 b(v)-5
b(alne)21 b(funk)n(cije)h(o)f(lok)-5 b(aliziranosti)19
b(p)r(olarona)h(samosuglasna)f(s)i(izrazom)118 1554 y(\(15\),)j(dobiv)n
(enim)f(za)f(energiju.)35 b(U)24 b(njem)n(u)f(naime)h(prvi)e(\243lan,)i
(trne)f(s)g Fx(exp)14 b Fw(\000)p Fx(\()p Fy(\025=!)s
Fx(\))2734 1523 y Fq(2)2771 1554 y FB(,)24 b(dakle)f(vrlo)f(brzo.)34
b(Njego)n(v)118 1653 y(srazmjerno)25 b(zanemariv)h(doprinos)f(energiji)
i(sustav)-5 b(a)26 b(zna\243i)g(da)h(su)g(rijetki)g(slu\243a)5
b(jevi)26 b(k)-5 b(ada)26 b(elektron)h(napusti)118 1753
y(\243v)n(or)22 b(na)i(k)n(o)5 b(jem)n(u)22 b(je)i(re\262etk)-5
b(a)23 b(deformirana.)34 b(S)23 b(tim)h(je)g(p)r(otvr\236ena)f(pretp)r
(osta)n(vk)-5 b(a)22 b(v)-5 b(arijacione)23 b(v)-5 b(alne)23
b(funk)n(cije.)118 1852 y(Ka\272e)k(se)g(da)g(je)h(do\262lo)f(do)g
(samouh)n(v)-5 b(ata)26 b(elektrona.)243 1952 y(\203injenica)f(da)f(je)
h(elektron)g(prakti\243)n(ki)e(zarobljen)h(prek)n(o)g(jak)n(og)f
(elektron-fonon)g(me\236udjelo)n(v)-5 b(anja)25 b(za)f(ona)5
b(j)118 2052 y(\243v)n(or)29 b(na)g(k)n(o)5 b(jem)29
b(se)h(deformacija)f(nalazi,)g(p)r(osp)5 b(je\262uje)30
b(lok)-5 b(alizaciju)29 b(same)h(deformacije.)43 b(Naime,)30
b(k)-5 b(ak)n(o)29 b(elek-)118 2151 y(tron)20 b(goto)n(v)n(o)f(ne)i
(tunelira)f(na)h(susjedne)g(\243v)n(oro)n(v)n(e,)e(bro)5
b(j)20 b(p)r(obu\236enih)i(fonona)e(na)g(tim)i(\243v)n(oro)n(vima)c(je)
j(zanemariv,)118 2251 y(o)r(dnosno)33 b(ni\262ta)g(ne)h(doprinosi)e(p)r
(ov)n(e\242anju)h(efektivnog)g(protezanja)f(deformacije.)54
b(T)-7 b(ak)n(o)32 b(lok)-5 b(alizacija)32 b(elek-)118
2351 y(trona)25 b(p)r(osp)5 b(je\262uje)26 b(lok)-5 b(alizaciju)26
b(deformacije)f(i)i(obrn)n(uto,)e(lok)-5 b(alizacija)25
b(deformacije)g(p)r(osp)5 b(je\262uje)26 b(lok)-5 b(alizaciju)118
2450 y(elektrona.)118 2666 y Fz(3.3.4)94 b(Div)m(ergencija)32
b(efektivne)g(mase)e(p)s(olarona)118 2819 y FB(Prv)n(om)38
b(\243lan)n(u)h(izraza)e(\(15\))h(doprinosi)g(kineti\243)n(k)-5
b(a)38 b(energija)g(gibanja)g(p)r(olarona)f(\(ak)n(o)h
Fy(K)47 b Fw(6)p Fx(=)42 b(0)p FB(\).)70 b(Drugom)118
2919 y(doprinosi)26 b(p)r(ozitivna)i(p)r(otencijalna)f(energija)f
(deformacije)h(re\262etk)n(e)f(i)i(negativna)e(energija)h(samog)f
(elektron-)118 3018 y(fonon)h(v)n(ezanja.)243 3118 y(Kineti\243)n(k)n
(o)5 b(j)31 b(energiji)i(p)r(olarona,)f(k)-5 b(ao)32
b(i)h(ukupnom)g(impulsu)h(p)r(olarona,)e(doprinose)g(i)h(elektron)f(i)h
(fononi.)118 3218 y(Izraz)27 b(za)g(efektivn)n(u)g(masu)g(p)r(olarona)f
(lak)n(o)g(je)i(na\242i)g(iz)f(kineti\243)n(k)n(e)g(energije)g(p)r
(olarona)1289 3416 y Fy(m)1362 3428 y Fv(ef)1460 3416
y Fx(=)22 b(1)p Fy(=)p Fx(2)p Fy(J)30 b(e)1788 3382 y
Fq(\()p Fv(\025=!)r Fq(\))1957 3357 y Fg(2)2016 3416
y Fx(=)23 b Fy(m)g(e)2239 3382 y Fq(\()p Fv(\025=!)r
Fq(\))2408 3357 y Fg(2)2467 3416 y Fy(:)118 3599 y FB(On)31
b(div)n(ergira)e(s)i Fx(exp)14 b(\()p Fy(\025=!)s Fx(\))1024
3569 y Fq(2)1061 3599 y FB(.)48 b(T)-7 b(o)31 b(ima)g(za)g(p)r
(oslijedicu)g(da)g(je)h(p)r(olaron,)f(za)f(k)n(onstatni)h
Fy(K)6 b FB(,)32 b(p)r(orastom)e Fy(\025)h FB(sv)n(e)118
3699 y(tromiji:)38 b Fy(v)466 3711 y Fv(K)554 3699 y
Fx(=)23 b Fy(K)q(=m)829 3711 y Fv(ef)931 3699 y FB(.)38
b(Zapra)n(v)n(o)25 b(u)j(granici)f(jak)n(e)g(v)n(eze,)h
Fy(\025=!)e Fw(!)e(1)k FB(p)r(olaron)e(je)j(prakti\243)n(ki)d
(stati\243an,)i(te)g(je)118 3798 y(njego)n(v)-5 b(a)27
b(kineti\243)n(k)-5 b(a)27 b(energija,)f(k)-5 b(ao)27
b(\262to)g(smo)g(v)n(e\242)g(opazili,)g(zanemariv)-5
b(a.)243 3898 y(Energetsk)g(a)27 b(vrp)r(ca)g(slob)r(o)r(dnog)f
(elektrona)h(\262irine)g Fx(4)p Fy(J)36 b FB(stisn)n(uta)27
b(je,)i(zb)r(og)e(jak)n(og)f(elektron-fonon)g(me\236ud-)118
3998 y(jelo)n(v)-5 b(anja)38 b(za)f(faktor)h Fx(exp)13
b Fw(\000)p Fx(\()p Fy(\025=!)s Fx(\))1261 3967 y Fq(2)1298
3998 y FB(.)69 b(Energija)38 b(p)r(olarona,)h(neo)n(visno)e(o)h(v)-5
b(alnom)38 b(v)n(ektoru)e Fy(K)6 b FB(,)41 b(te\272i)d(u)h(p)r(o-)118
4097 y(dru\243ju)24 b(jak)n(e)e(v)n(eze)h(vrijednosti)g
Fw(\000)p Fy(\025)1239 4067 y Fq(2)1276 4097 y Fy(=!)s
FB(.)35 b(T)-7 b(o)23 b(je,)h(primjetimo,)h(energija)d(osno)n(vnog)f
(stanja)i(hamiltonijana)f Fy(H)3603 4109 y Fv(j)3638
4097 y FB(,)118 4197 y(o)r(dnosno)h(energija)g(elektron-fonon)f(v)n
(ezanja)h(i)h(pridru\272ene)f(deformacije)g(re\262etk)n(e)f(za)i
(slu\243a)5 b(j)23 b(k)-5 b(ada)23 b(je)h(elektron)118
4296 y(p)r(otpuno)k(lok)-5 b(aliziran)26 b(na)h(jednom)h(\243v)n(oru.)
118 4529 y Fu(3.4)112 b(Dinami\243)m(k)-6 b(a)36 b(aproksimacija)118
4682 y Fz(3.4.1)94 b(K)m(oheren)m(tno)32 b(gibanje)f(p)s(olarona)h(i)f
(dinami\243)m(k)-5 b(a)31 b(aproksimacija)118 4835 y
FB(Gibanje)24 b(elektrona)f(u)h(o)r(dnosu)f(na)h(deformaciju)g
(re\262etk)n(e)e(mo\272e)i(se)f(p)r(o)r(dijeliti)j(na)5
b(jgrublje)23 b(na)g(dvije)i(vrste,)f(k)n(o-)118 4935
y(heren)n(tno)g(i)i(nek)n(oheren)n(tno.)34 b(Ov)n(o)24
b(prv)n(o)g(obuh)n(v)-5 b(a\242a)23 b(pro)r(cese)h(u)i(k)n(o)5
b(jima)24 b(se)h(i)g(elektron)f(i)h(deformacija)f(za)5
b(jedno,)118 5035 y(k)n(oheren)n(tno,)23 b(p)r(omi\243u)h(du\272)g
(kristalne)e(re\262etk)n(e.)35 b(Nasuprot)22 b(njima)i(prep)r(ozna)5
b(jemo)23 b(pro)r(cese)f(u)i(k)n(o)5 b(jima)23 b(se)g(elek-)118
5134 y(tron)30 b(p)r(omi\243e)g(un)n(utar)f(deformacije)h(re\262etk)n
(e.)43 b(Dak)-5 b(ak)n(o,)29 b(o)n(v)n(o)f(je)j(aproksimativno)d(sh)n
(v)-5 b(a\242anje)29 b(cjelokupne)h(di-)118 5234 y(namik)n(e)21
b(p)r(olarona,)f(dok)h(stanju)g(stv)-5 b(ari)21 b(op)r(\242enito)f
(vi\262e)h(o)r(dgo)n(v)-5 b(ara)19 b(nek)-5 b(akv)g(a)20
b(k)n(om)n(binacija)g(o)n(vih)g(dv)-5 b(a)5 b(ju)21 b(gibanja.)118
5333 y(Aproksimiranje)i(dinamik)n(e)g(p)r(olarona)g(nek)n(oheren)n
(tnim)f(gibanjem)i(elektrona)f(susret)g(\242emo)h(u)g(p)r(ogla)n(vlju)f
(3.5,)118 5433 y(prilik)n(om)29 b(izno\262enja)g(Holsteino)n(v)n(og)e
(rje\262enja.)43 b(Sada)29 b(\242emo)g(pa\272nju)h(obratiti)f(na)g(k)n
(oheren)n(tno)f(gibanje)i(i)f(tzv.)118 5533 y(dinami\243)n(ku)e
(aproksimaciju.)243 5632 y(Dinami\243)n(k)-5 b(a)35 b(aproksimacija)f
(zanemaruje)h(doprinose)g(dinamici)h(p)r(olarona)e(k)n(o)5
b(ji)35 b(su)h(p)r(oslijedica)g(propa-)118 5732 y(gacije)18
b(elektrona)f(u)i(o)r(dnosu)e(na)i(deformaciju)f(re\262etk)n(e.)32
b(Elektronski)18 b(dio)g(v)-5 b(alne)19 b(funk)n(cije)f(p)r(olarona)f
(lok)-5 b(aliziran)118 5832 y(je)29 b(na)f(jednom)h(\243v)n(oru)e
(re\262etk)n(e,)h(te)g(se)g(elektron)g(mo\272e)g(p)r(omicati)h(s)f
(\243v)n(ora)e(na)j(\243v)n(or)e(re\262etk)n(e)g(tek)h(p)r(omicanjem)p
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(datku)j(D.)p eop
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15 14 bop 3578 -240 a FB(15)118 51 y(energijom)28 b(susta)n(v)-5
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150 y(predvi\236anju)f(oblik)-5 b(a)28 b(deformacije)e(re\262etk)n(e.)
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1084 y(k)n(o)5 b(je)23 b(opisuje)h(p)r(olaron)f(k)n(o)5
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b(i)h(nije)g(u)g(v)n(ezi)f(s)g(adijabatsk)n(om)f(aproksimacijom.)118
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(elektrona)f(u)h(o)r(dsustvu)g(elektron-fonon)f(ma\236udjelo)n(v)-5
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(v)-5 b(a)33 b(doprinose)g(elektron)h(i)h(fononi.)57
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2745 y(slab)r(e)20 b(v)n(eze,)h(gla)n(vni)e(doprinos)g(dolazi)g(o)r(d)h
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2945 y(obrn)n(uto.)56 b(T)-7 b(ak)n(o)33 b(je)h(za)g(male)g
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4008 y FB(K)n(oriste\242i)c(op)r(eratore)g(k)n(o)r(ordinata)f(\243v)n
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y Fv(j)1868 4656 y Fy(c)1904 4616 y Fr(y)1904 4679 y
Fv(j)1939 4656 y Fy(c)1975 4668 y Fv(j)2028 4656 y Fw(\000)g
Fy(J)2179 4577 y Fs(X)2224 4754 y Fv(j)2313 4656 y Fy(c)2349
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4668 y Fv(j)s Fq(+1)2589 4656 y Fx(+)g Fy(c)2708 4668
y Fv(j)s Fr(\000)p Fq(1)2828 4656 y Fx(\))h(+)f Fy(k)s(onst)23
b(:)301 b FB(\(20\))243 4882 y(U)24 b(adijabtsk)n(o)5
b(j)22 b(granici)g(\()p Fy(p)1096 4894 y Fv(j)1154 4882
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i(u)g(izrazu)f(dobiv)n(enom)f(minimizacijom)i Fy(H)34
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5425 y Fv(n)1348 5413 y Fx(=)23 b Fw(\000)1511 5357 y
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5470 a Fy(!)1694 5413 y(<)f(c)1817 5379 y Fr(y)1817 5434
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5327 y Fq(2)p 2217 5394 V 2253 5470 a Fy(!)2372 5413
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eop
%%Page: 16 16
16 15 bop 3578 -240 a FB(16)1413 183 y Fy(E)1474 195
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n(v)-5 b(a)38 b(efektivno)h(protezanje)g(deformacije)g(re\262etk)n(e)g
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(v)n(elikim)g(bro)5 b(jem)33 b(parametara,)h(npr.)56
b([11],)36 b([12)o(].)57 b(Ovdje)34 b(razvijena)118 2745
y(troparametarsk)-5 b(a)19 b(v)-5 b(arijaciona)20 b(v)-5
b(alna)22 b(funk)n(cija,)h(treba)e(o)r(dmah)h(re\242i,)h(ne)f(p)r
(okriv)-5 b(a)21 b(istom)h(kv)-5 b(alitetom)22 b(aproksi-)118
2844 y(macije)34 b(cjelokupno)f(parametarsk)n(o)e(p)r(o)r(dru\243je)j
Fy(J)o(;)14 b(\025;)67 b FB(k)n(o)5 b(je)33 b(je)h(o)r(d)g(na\262eg)f
(in)n(teresa.)54 b(T)-7 b(o)33 b(se)h(mo\272e)f(ob)5
b(jasniti)118 2944 y(njezinim)24 b(relativno)f(malim)h(bro)5
b(jem)22 b(parametara,)g(k)-5 b(ao)23 b(i)h(nekim)g(drugim)f(razlozima)
f(o)h(k)n(o)5 b(jima)22 b(\242emo)i(k)-5 b(asnije)118
3043 y(go)n(v)n(oriti.)62 b(No,)39 b(njezina)e(k)n(onstruk)n(cija)e
(omogu\242uje)h(relativno)f(jednosta)n(vn)n(u)h(n)n(umeri\243)n(ku)g
(obradu,)i(dok)f(jo)5 b(j)118 3143 y(rezultati)27 b(ipak)g(ne)h(zaosta)
5 b(ju)26 b(za)h(v)n(e\242inom)g(rezultata)g(iz)g(literature,)g(ak)n(o)
f(v)n(e\242)h(nisu)h(b)r(olji.)243 3243 y(Radi)h(\243itljiv)n(osti)g
(teksta,)h(o)n(vu)e(troparametarsku)f(v)-5 b(arijacion)n(u)28
b(v)-5 b(aln)n(u)29 b(funk)n(ciju)h(ozna\243a)n(v)-5
b(ati)28 b(\242emo)h(krati-)118 3342 y(com:)37 b(VV)28
b(funk)n(cija.)37 b(Pridru\272eni)27 b(izrazi)g(i)g(rezultati)h(\242e)f
(u)h(skladu)f(s)g(tim)h(imati)g(iste)g(oznak)n(e.)118
3558 y Fz(3.6.2)94 b(K)m(onstruk)m(cija)33 b(v)-5 b(arijacione)32
b(v)-5 b(alne)32 b(funk)m(cije)118 3711 y FB(Dinami\243)n(k)-5
b(a)34 b(aproksimacija)1035 3681 y Ft(13)1137 3711 y
FB(zanemaruje)f(pro)r(cese)g(u)h(k)n(o)5 b(jima)33 b(se)h(elektron)f
(giba)h(un)n(utar)f(p)r(olarona.)55 b(No,)118 3811 y(\243injenica)34
b(da)f(se)g(gibanje)h(elektrona)e(un)n(utar)h(p)r(olarona)f(za)h(p)r(o)
r(dru\243je)h(srednje)f(v)n(eze,)i(ne)e(mo\272e)g(zanemariti)118
3880 y Ft(14)188 3911 y FB(,)g(zah)n(tijev)-5 b(a)31
b(da)h(p)r(o)r(op)r(\242imo)f(v)-5 b(arijacion)n(u)31
b(v)-5 b(aln)n(u)31 b(funk)n(ciju)h(\(19\),)h(ak)n(o)d(\272elimo)h(da)h
(no)n(v)-5 b(a)30 b(k)n(onstruk)n(cija)g(b)r(olje)118
4010 y(opisuje)e(p)r(olarone)e(i)h(u)h(tom)g(p)r(o)r(dru\243ju.)37
b(Promotrimo)26 b(v)-5 b(aln)n(u)28 b(funk)n(ciju)842
4311 y Fx(\011)907 4323 y Fv(V)14 b(V)1017 4311 y Fx(\()p
Fy(K)6 b Fx(\))83 b(=)1456 4255 y(1)p 1399 4292 156 4
v 1399 4368 a Fy(N)9 b(or)1578 4232 y Fs(X)1623 4409
y Fv(j)1712 4311 y Fy(e)1751 4277 y Fv(iK)t(aj)1928 4311
y Fx(\()1960 4232 y Fs(X)2010 4411 y Fv(l)2094 4311 y
Fy(\021)2135 4323 y Fv(l)2184 4311 y Fy(c)2220 4271 y
Fr(y)2220 4336 y Fv(j)s Fq(+)p Fv(l)2327 4311 y Fx(\))2396
4232 y Fs(Y)2429 4406 y Fv(n)2516 4311 y Fy(S)2567 4323
y Fv(j)2602 4311 y Fx(\()p Fy(n)p Fx(\))24 b Fw(j)f Fx(0)f
Fy(>)958 4556 y(S)1009 4568 y Fv(j)1044 4556 y Fx(\()p
Fy(n)p Fx(\))83 b(=)g Fy(e)1428 4518 y Fv(\030)1458 4526
y Fh(n)1498 4518 y Fv(b)1527 4490 y Fi(y)1527 4539 y
Fh(j)1559 4518 y Fr(\000)p Fv(\030)1643 4493 y Fi(\003)1641
4535 y Fh(n)1682 4518 y Fv(b)1711 4526 y Fh(j)1092 4691
y Fy(\021)1133 4703 y Fv(l)1241 4691 y Fx(=)g Fy(C)29
b(G)1542 4657 y Fr(j)p Fv(l)p Fr(j)1630 4691 y Fy(e)1669
4657 y Fv(iK)t(la)1077 4816 y Fy(\030)1113 4828 y Fv(n)1241
4816 y Fx(=)83 b Fy(A)23 b(B)1541 4781 y Fr(j)p Fv(n)p
Fr(j)1649 4816 y Fy(e)1688 4781 y Fv(i'na)1882 4816 y
Fy(:)1609 b FB(\(23\))243 4998 y Fy(N)9 b(or)43 b FB(je)f
(normalizacijsk)-5 b(a)39 b(k)n(onstan)n(ta.)75 b Fy(\021)1632
5010 y Fv(l)1699 4998 y FB(i)41 b Fy(\030)1799 5010 y
Fv(n)1885 4998 y FB(su)g(k)n(ompleksne)f(funk)n(cije)h(indeksa)g
Fy(l)r(;)14 b(n)p FB(,)43 b(pridru\272ene)118 5098 y(lok)-5
b(alizaciji)31 b(elektrona)e(i)j(fonona,)f(redom)1472
5068 y Ft(15)1542 5098 y FB(.)48 b(Njiho)n(v)31 b(op)r(\242enit)h(izb)r
(or)e(dak)-5 b(ak)n(o)30 b(vrlo)g(je)i(raznolik,)f(i)g(zah)n(tijev)-5
b(a)118 5198 y(u)29 b(principu)f(samo)f(da)h Fy(\021)891
5210 y Fv(l)917 5198 y Fy(;)14 b(\030)990 5210 y Fv(n)1035
5198 y FB(,)29 b(trn)n(u)f(p)r(orastom)f(sv)n(o)5 b(jih)27
b(indeksa.)38 b(Eksp)r(onencijalni)28 b(oblik,)h(k)-5
b(ak)g(a)n(v)27 b(je)h(o)n(vdje)g(za)118 5297 y(njih)g(izabran,)f
(omogu\242a)n(v)-5 b(a)25 b(da)i(se)h(VV)g(funk)n(cija)f(u)h(granici)
1455 5496 y Fy(G)23 b Fw(!)g Fx(0)277 b Fy(\021)2009
5508 y Fv(l)2057 5496 y Fw(!)23 b Fy(\016)2200 5508 y
Fv(l;)p Fq(0)2302 5496 y Fy(;)p 118 5549 1418 4 v 180
5603 a Fp(13)245 5626 y Fo(Vidjeti)g(p)r(ogla)n(vlje)h(3.4,)f
(Dinami\243)n(k)l(a)g(aproksimacija.)180 5682 y Fp(14)245
5705 y Fo(Vidjeti)g(p)r(ogla)n(vlje)h(3.5,)f(A)n(dijabatsk)l(a)i
(aproksimacija.)180 5761 y Fp(15)245 5784 y Fo(Sli\243n)n(u)f(v)l
(arijacion)n(u)g(p)r(olaronsku)i(v)l(aln)n(u)e(funk)n(ciju)f(prvi)h(je)
g(predlo\272io)g(Y.)f(T)-6 b(o)n(y)n(oza)n(w)n(a)26 b([13].)p
eop
%%Page: 17 17
17 16 bop 3578 -240 a FB(17)118 51 y(sv)n(ede)31 b(na)h(dinami\243)n
(ku)f(aproksimaciju)g(\(19\).)49 b(Time)32 b(je)g(onda)f(osigurano)f
(da)h(VV)i(funk)n(cija)f(jednak)n(o)f(dobro,)118 150
y(ili)f(b)r(olje)h(o)r(d)f(\(19\),)g(aproksimira)d(fonone)j(u)g(p)r(o)r
(dru\243ju)g(slab)r(e)g(i)g(jak)n(e)f(v)n(eze.)43 b(Nadalje,)31
b(o)n(v)-5 b(a)5 b(j)29 b(izb)r(or)g(prilago\236en)118
250 y(je)35 b(i)g(adijabatsk)n(o)5 b(j)32 b(aproksimaciji.)56
b(Mo\272e)34 b(se)g(naime)h(lak)n(o)e(p)r(ok)-5 b(azati)34
b(da)g(uvjet)h(\(21\))f(za)g Fy(K)40 b Fx(=)34 b(0)g
FB(o)r(dgo)n(v)-5 b(ara)118 349 y(jednak)n(osti)1727
549 y Fy(B)27 b Fx(=)22 b Fy(G)1969 514 y Fq(2)2030 549
y Fy(:)1461 b FB(\(24\))243 693 y(Uvjet)28 b(normalizacije)e(elektrona)
1386 836 y Fs(X)1426 1010 y Fv(n)1520 915 y Fy(\021)1564
881 y Fr(\003)1561 935 y Fv(n)1630 915 y Fy(\021)1671
927 y Fv(n)1739 915 y Fx(=)d Fy(C)1892 881 y Fq(2)1939
859 y Fx(1)18 b(+)g Fy(G)2147 829 y Fq(2)p 1939 896 246
4 v 1939 972 a Fx(1)g Fw(\000)g Fy(G)2147 948 y Fq(2)2218
915 y Fx(=)k(1)h Fy(;)118 1169 y FB(p)r(o)n(v)n(ezuje)k
Fy(C)34 b FB(i)28 b Fy(G)p FB(,)g(dok)f(uvjet)h(\(4\))g(to)f(\243ini)h
(s)f Fy(A)h FB(i)g Fy(B)1748 1139 y Ft(16)1340 1396 y
Fy(A)1614 1339 y Fx(1)18 b Fw(\000)g Fy(B)1824 1309 y
Fq(2)p 1413 1377 651 4 v 1413 1453 a Fx(1)g Fw(\000)g
Fx(2)p Fy(B)f Fx(cos)c Fy(')19 b Fx(+)f Fy(B)2026 1429
y Fq(2)2096 1396 y Fx(=)23 b Fw(\000)p Fy(\025=!)i(:)118
1608 y FB(VV)j(funk)n(cija)g(stoga)e(je)i(funk)n(cija)g(triju)f(v)-5
b(arijacionih)27 b(parametara)966 1798 y Fx(0)c Fw(\024)g
Fy(G)g(<)g Fx(1)45 b Fy(;)245 b Fx(0)22 b Fw(\024)h Fy(B)k(<)c
Fx(1)45 b Fy(;)245 b Fx(0)22 b Fw(\024)h Fy(')g(<)g Fx(2)p
Fy(\031)49 b(;)118 1972 y FB(a)21 b(pridru\272ena)f(jo)5
b(j)21 b(v)-5 b(arijaciona)20 b(meto)r(da)h(troparametarsk)-5
b(a.)32 b(Sv)-5 b(ak)n(o)5 b(j)20 b(to)r(\243)n(ki)h(parametarsk)n(og)c
(prostora)i Fy(J)o(;)14 b(\025;)g(K)q(;)118 2071 y FB(o)r(dgo)n(v)-5
b(ara)30 b(jedno)i(rje\262enje)h(u)f(faznom)g(prostoru)f
Fy(G;)14 b(B)t(;)g(')1979 2041 y Ft(17)2050 2071 y FB(.)51
b(No,)33 b(za)f(razliku)g(o)r(d)g(parametarsk)n(og)d(prostora)118
2171 y Fy(J)o(;)14 b(\025;)g(K)q(;)51 b FB(fazni)27 b(prostor)f
Fy(G;)14 b(B)t(;)g(';)51 b FB(je)28 b(ograni\243en)e(na)h(k)n
(ona\243ni)g(v)n(olumen.)118 2385 y Fz(3.6.3)94 b(Deformacija)31
b(re\262etk)m(e)118 2538 y FB(Ak)n(o)c(izraz)g(\(23\))g(prepi\262emo)f
(uz)i(slijede\242e)g(supstitucije,)g Fy(j)1997 2508 y
Fr(0)2043 2538 y Fx(=)23 b Fy(j)g Fx(+)18 b Fy(l)r FB(,)27
b Fy(n)2398 2508 y Fr(0)2445 2538 y Fx(=)22 b Fy(n)d
Fw(\000)f Fy(l)29 b FB(,)e(dobiv)-5 b(amo)732 2756 y
Fx(\011)797 2768 y Fv(V)14 b(V)908 2756 y Fx(\()p Fy(K)6
b Fx(\))23 b(=)1227 2700 y(1)p 1170 2737 156 4 v 1170
2813 a Fy(N)9 b(or)1349 2677 y Fs(X)1382 2855 y Fv(j)1412
2839 y Fi(0)1483 2756 y Fy(e)1522 2722 y Fv(iK)t(aj)1671
2697 y Fi(0)1698 2756 y Fy(c)1734 2716 y Fr(y)1734 2780
y Fv(j)1764 2764 y Fi(0)1805 2677 y Fs(X)1855 2856 y
Fv(l)1939 2756 y Fy(C)30 b(G)2093 2722 y Fr(j)p Fv(l)p
Fr(j)2172 2677 y Fs(Y)2193 2855 y Fv(n)2234 2839 y Fi(0)2292
2756 y Fy(S)2343 2768 y Fv(j)2373 2752 y Fi(0)2396 2768
y Fq(+)p Fv(n)2488 2752 y Fi(0)2514 2756 y Fx(\()p Fy(n)2596
2722 y Fr(0)2638 2756 y Fx(+)18 b Fy(l)r Fx(\))23 b Fw(j)g
Fx(0)g Fy(>)45 b(:)467 b FB(\(25\))118 2990 y(Sada)29
b(razliku)f(izme\236u)i(\(19\))f(i)g(VV)h(funk)n(cije)g(mo\272emo)f(sh)
n(v)-5 b(a\242ati)28 b(i)i(na)f(slijede\242i)g(na\243in.)42
b(VV)30 b(funk)n(ciju)g(smo)f(u)118 3089 y(\(25\))h(transformirali)d(u)
j(oblik)g(u)g(k)n(o)5 b(jem)29 b(lak)n(o)f(prep)r(ozna)5
b(jemo)29 b(ra)n(vni)f(v)-5 b(al)30 b(elektrona)e(s)i(pridru\272enom)f
(m)n(u)h(de-)118 3189 y(formacijom)23 b(re\262etk)n(e)g(k)n(o)5
b(jo)g(j)23 b(je)h(on)g(u)h(cen)n(tru.)35 b(T)-7 b(a)24
b(deformacija)f(dana)g(je)i(za)e(elektron)g(u)i(isho)r(di\262tu)f
(fononsk)n(om)118 3289 y(v)-5 b(alnom)27 b(funk)n(cijom)1085
3562 y Fx(\011)1150 3574 y Fv(V)14 b(V)t(;f)7 b(n)1372
3562 y Fx(=)1460 3483 y Fs(X)1509 3662 y Fv(l)1594 3562
y Fy(C)29 b(G)1747 3528 y Fr(j)p Fv(l)p Fr(j)1826 3483
y Fs(Y)1859 3657 y Fv(n)1946 3562 y Fy(S)1997 3574 y
Fv(n)2042 3562 y Fx(\()p Fy(n)19 b Fx(+)f Fy(l)r Fx(\))k
Fw(j)i Fx(0)e Fy(>)h(;)118 3810 y FB(u)28 b(slu\243a)5
b(ju)27 b(VV)h(funk)n(cije,)g(o)r(dnosno)f(s)1352 4083
y Fx(\011)1417 4095 y Fv(D)r(;f)7 b(n)1599 4083 y Fx(=)1687
4004 y Fs(Y)1719 4178 y Fv(n)1807 4083 y Fy(S)1858 4095
y Fv(n)1903 4083 y Fx(\()p Fy(n)p Fx(\))23 b Fw(j)g Fx(0)g
Fy(>)g(;)118 4331 y FB(u)31 b(slu\243a)5 b(ju)31 b(dinami\243)n(k)n(e)f
(aproksimacije)f(\(19\).)47 b(Primijetimo)31 b(da)g(je)g(fononsk)-5
b(a)30 b(v)-5 b(alna)31 b(funk)n(cija)f(za)h(dinami\243)n(ku)118
4431 y(aproksimaciju)26 b(pridru\272ena)h(sv)-5 b(ak)n(om)27
b(\243v)n(oru)f Fy(n)i FB(opisana)f(k)n(oheren)n(tnim)g(stanjem,)h(o)r
(dnosno)f(da)g(je)h(o)r(dgo)n(v)-5 b(ara-)118 4530 y(ju\242a)19
b(deformacija)g(re\262etk)n(e)f(gausijansk)-5 b(a)1409
4500 y Ft(18)1477 4530 y FB(.)35 b(VV)20 b(funk)n(cija)f(pak)g
(deformaciju)g(re\262etk)n(e)f(opisuje)h(sup)r(erp)r(ozicijom)118
4630 y(v)n(e\242eg)25 b(bro)5 b(ja)24 b(\()p Fx(lim)703
4642 y Fv(l)p Fr(!1)875 4630 y Fy(G)940 4600 y Fr(j)p
Fv(l)p Fr(j)1028 4630 y Fx(=)e(0)p FB(\))k(k)n(oheren)n(tnih)f(stanja,)
h(tj.)37 b(opisuje)25 b(negausijansku)g(deformaciju.)36
b(No,)26 b(k)-5 b(ak)n(o)118 4730 y(ta)5 b(j)28 b(v)-5
b(arijacioni)26 b(oblik)i(i)g(ta)g(negausijansk)-5 b(a)26
b(deformacija)h(nisu)h(u)g(p)r(otpunosti)g(op)r(\242eniti,)g(p)r(osto)5
b(ji)27 b(o)r(dstupanje)118 4829 y(rezultata)g(VV)h(funk)n(cije)g(o)r
(d)f(idealnih)h(vrijednosti.)243 4929 y(Na)34 b(slici)g(4)g(prik)-5
b(azana)33 b(je)i(fononsk)-5 b(a)34 b(v)-5 b(alna)33
b(funk)n(cija)i(pridru\272ena)e(\243v)n(oru)g Fy(n)i
Fx(=)f(0)g FB(re\262etk)n(e)f(u)i(prostorno)5 b(j)118
5029 y(reprezen)n(taciji,)26 b(i)i(to)g(za)f(dinami\243)n(ku)g
(aproksimaciju)f(i)i(VV)g(funk)n(ciju)1284 5302 y Fx(\010)1344
5314 y Fv(D)1405 5302 y Fx(\()p Fy(x)p Fx(\))84 b(=)e
Fy(S)1798 5314 y Fq(0)1858 5302 y Fw(j)24 b Fx(0)e Fy(>)1233
5443 y Fx(\010)1293 5455 y Fv(V)15 b(V)1405 5443 y Fx(\()p
Fy(x)p Fx(\))84 b(=)1747 5364 y Fs(X)1796 5543 y Fv(l)1881
5443 y Fy(C)29 b(G)2034 5409 y Fr(j)p Fv(l)p Fr(j)2099
5443 y Fy(S)2150 5455 y Fq(0)2188 5443 y Fx(\()p Fy(l)r
Fx(\))23 b Fw(j)g Fx(0)f Fy(>)46 b(:)p 118 5559 1418
4 v 180 5613 a Fp(16)245 5636 y Fo(Vidjeti)23 b(izraz)i(\(35\))g(u)e
(do)r(datku)j(G,)d(i)g(\(36\))i(u)f(do)r(datku)h(C.)180
5692 y Fp(17)245 5715 y Fo(Iznimno,)20 b(to)r(\243)n(k)n(e)i
(parametarsk)n(og)h(prostora)g Fm(J)n(;)11 b(\025;)g(K)q(;)20
b Fo(k)n(o)t(je)g(su)h(pridru\272ene)h(prijelazima,)e(a)g(o)h(k)n(o)t
(jima)e(go)n(v)n(orimo)i(u)f(nasta)n(vku,)118 5794 y(o)r(dgo)n(v)l(ara)
t(ju)26 b(paru)e(rje\262enja)g(u)g(faznom)f(prostoru)j
Fm(G;)11 b(B)s(;)h(')p Fo(.)180 5850 y Fp(18)245 5873
y Fo(P)n(o)t(jam)22 b(gausijansk)n(e)j(deformacije)e(re\262etk)n(e)j
(ob)t(ja\262njen)d(je)h(u)g(do)r(datku)h(B.)p eop
%%Page: 18 18
18 17 bop 3578 -240 a FB(18)118 51 y(Prik)-5 b(azana)23
b(fononsk)-5 b(a)23 b(v)-5 b(alna)24 b(funk)n(cija)g(pridru\272ena)f
(dinami\243)n(k)n(o)5 b(j)22 b(aproksimaciji)h(o)n(visno)f(o)i
(parametrima)e Fy(J)o(;)14 b(\025;)118 150 y FB(mijenja)28
b(sv)n(o)5 b(je)25 b(efektivno)i(protezanje)g(i)g(amplitudu,)h(ali)e
(uvijek)i(ostaje)e(gaussijan.)35 b(Nasuprot)27 b(toga,)f(vidimo)118
250 y(da)35 b(fononsk)-5 b(a)35 b(v)-5 b(alna)35 b(funk)n(cija)h
(pridru\272ena)e(VV)j(funk)n(ciji)f(promjenom)f(parametara)e
Fy(J)o(;)14 b(\025;)36 b FB(o)r(dnosno)e(prom-)118 349
y(jenom)39 b(v)-5 b(arijacionih)37 b(parametara)f Fy(G;)14
b(B)t(;)39 b FB(osim)f(promjene)h(efektivnog)e(protezanja)h(i)g
(amplitude,)k(znatno)118 449 y(mijenja)28 b(i)g(oblik.)195
565 y
 gsave currentpoint currentpoint translate -90 neg rotate neg exch
neg exch translate
 195 565 a 195 565 a
 currentpoint currentpoint translate 0.60 0.60 scale neg exch neg exch
translate
 195 565 a @beginspecial 12
@llx 12 @lly 576 @urx 690 @ury 5640 @rwi @setspecial
%%BeginDocument: ewgf.19
%!PS-Adobe-2.0 EPSF-1.2
%%BoundingBox: 12 12 576 690
%%Creator: ACE/gr (xmgr) v3.02 (Alpha test #5)
%%Title: ewgf.19
%%EndComments
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F
p
0 g
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Mistroke
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Mistroke
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Mistroke
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Mistroke
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Mistroke
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Mfstroke
P
.7 g
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.0255 .64705 L
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.05441 .64159 L
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.01923 .55796 L
F
p
0 g
.001 w
.01923 .64818 m
.0255 .64705 L
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.4531 .51505 L
Mistroke
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.5 .49423 L
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Mistroke
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Mistroke
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.5 .32861 L
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Mistroke
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Mistroke
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.03096 .55331 L
.01923 .55796 L
Mfstroke
P
.6 g
.01923 .64143 m
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.06614 .63264 L
.07786 .63019 L
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.5 .48576 L
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F
p
0 g
.001 w
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.05239 .63532 L
.05441 .63494 L
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Mistroke
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Mistroke
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Mistroke
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Mistroke
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.08959 .53574 L
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.05441 .54981 L
.04612 .55324 L
Mistroke
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.01923 .56424 L
Mfstroke
P
.5 g
.01923 .63336 m
.03096 .63153 L
.04268 .62951 L
.05441 .62731 L
.06614 .625 L
.07298 .62359 L
.07786 .62264 L
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.26548 .571 L
.2772 .56699 L
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.31238 .55452 L
.31586 .55324 L
.32411 .55024 L
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.5 .47635 L
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.5 .34468 L
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.06614 .55211 L
.06346 .55324 L
.05441 .55672 L
.04268 .56168 L
.0352 .56496 L
.03096 .56654 L
.01923 .57154 L
F
p
0 g
.001 w
.01923 .63336 m
.03096 .63153 L
.04268 .62951 L
.05441 .62731 L
.06614 .625 L
.07298 .62359 L
.07786 .62264 L
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.2772 .56699 L
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.41792 .51286 L
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.44137 .50277 L
.4531 .49761 L
.45983 .49461 L
Mistroke
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.5 .47635 L
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Mistroke
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.77482 .10765 L
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Mistroke
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.6714 .20145 L
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.65244 .21919 L
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.5 .34468 L
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.48659 .35389 L
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.46482 .36813 L
.4531 .37552 L
.45016 .37735 L
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Mistroke
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.15141 .51806 L
.14822 .51927 L
.13649 .52387 L
.12477 .52861 L
.12188 .52978 L
.11304 .53316 L
.10131 .53788 L
.09247 .54151 L
.08959 .54259 L
.07786 .54721 L
.06614 .55211 L
.06346 .55324 L
.05441 .55672 L
.04268 .56168 L
.0352 .56496 L
.03096 .56654 L
.01923 .57154 L
Mfstroke
P
.4 g
.01923 .62205 m
.03096 .62194 L
.04268 .61996 L
.05441 .61789 L
.06614 .61569 L
.07786 .61336 L
.08508 .61187 L
.08959 .61109 L
.10131 .60873 L
.11304 .60603 L
.12477 .60319 L
.13649 .6002 L
.13673 .60014 L
.14822 .59739 L
.15994 .59426 L
.17167 .59099 L
.18062 .58841 L
.1834 .58767 L
.19512 .58434 L
.20685 .58077 L
.21857 .57709 L
.21982 .57669 L
.2303 .57348 L
.24203 .56966 L
.25375 .56568 L
.25585 .56496 L
.26548 .56179 L
.2772 .5577 L
.28893 .55348 L
.28959 .55324 L
.30066 .5493 L
.31238 .54494 L
.32136 .54151 L
.32411 .5405 L
.33583 .53603 L
.34756 .53141 L
.35161 .52978 L
.35929 .52678 L
.37101 .52203 L
.38059 .51806 L
.38274 .5172 L
.39447 .51236 L
.40619 .50737 L
.4086 .50633 L
.41792 .50239 L
.42964 .49727 L
.43566 .49461 L
.44137 .49214 L
.4531 .48691 L
.46205 .48288 L
.46482 .48165 L
.47655 .47634 L
.48773 .47115 L
.48827 .4709 L
.5 .46551 L
.51173 .45996 L
.51285 .45943 L
.52345 .45443 L
.53518 .44876 L
.53736 .4477 L
.5469 .44311 L
.55863 .43732 L
.56133 .43598 L
.57036 .4315 L
.58208 .42558 L
.58469 .42425 L
.59381 .41959 L
.60553 .41352 L
.60743 .41252 L
.61726 .40735 L
.62899 .40105 L
.62946 .4008 L
.64071 .39468 L
.65081 .38907 L
.65244 .38817 L
.66417 .38152 L
.67138 .37735 L
.67589 .37472 L
.68762 .36777 L
.69119 .36562 L
.69934 .36065 L
.71018 .35389 L
.71107 .35333 L
.7228 .34581 L
.72835 .34217 L
.73452 .33805 L
.74565 .33044 L
.74625 .33003 L
.75797 .32172 L
.76212 .31871 L
.7697 .31312 L
.77776 .30699 L
.78143 .30415 L
.79259 .29526 L
.79315 .29481 L
.80488 .285 L
.80658 .28354 L
.8166 .27468 L
.81976 .27181 L
.82833 .26381 L
.83218 .26008 L
.84006 .25221 L
.84378 .24836 L
.85178 .23977 L
.85462 .23663 L
.86351 .22635 L
.86471 .22491 L
.87406 .21318 L
.87523 .21163 L
.88263 .20145 L
.88696 .19511 L
.89045 .18973 L
.89749 .178 L
.89869 .1759 L
.90377 .16628 L
.90922 .15455 L
.91041 .15175 L
.91376 .14282 L
.91736 .1311 L
.91984 .11937 L
.92104 .10765 L
.92057 .09592 L
.91781 .08419 L
.91073 .07247 L
.91041 .07212 L
.89869 .06405 L
.88696 .06139 L
.87523 .0616 L
.86351 .06382 L
.85178 .06759 L
.84035 .07247 L
.84006 .07262 L
.82833 .0787 L
.81894 .08419 L
.8166 .08567 L
.80488 .09343 L
.80131 .09592 L
.79315 .10185 L
.78551 .10765 L
.78143 .11085 L
.7709 .11937 L
.7697 .12037 L
.75797 .1303 L
.75705 .1311 L
.74625 .14057 L
.74373 .14282 L
.73452 .15116 L
.73082 .15455 L
.7228 .16195 L
.71816 .16628 L
.71107 .17291 L
.70566 .178 L
.69934 .18398 L
.69329 .18973 L
.68762 .1951 L
.68093 .20145 L
.67589 .20624 L
.66859 .21318 L
.66417 .21735 L
.65616 .22491 L
.65244 .22839 L
.6436 .23663 L
.64071 .2393 L
.63089 .24836 L
.62899 .25009 L
.618 .26008 L
.61726 .26074 L
.60553 .27118 L
.60482 .27181 L
.59381 .2814 L
.59133 .28354 L
.58208 .29139 L
.57749 .29526 L
.57036 .30116 L
.56327 .30699 L
.55863 .3107 L
.54857 .31871 L
.5469 .32001 L
.53518 .32907 L
.53338 .33044 L
.52345 .33782 L
.51758 .34217 L
.51173 .34635 L
.5011 .35389 L
.5 .35465 L
.48827 .36267 L
.48393 .36562 L
.47655 .37046 L
.46598 .37735 L
.46482 .37807 L
.4531 .38537 L
.4471 .38907 L
.44137 .39246 L
.42964 .39941 L
.42728 .4008 L
.41792 .40607 L
.40645 .41252 L
.40619 .41266 L
.39447 .41895 L
.38454 .42425 L
.38274 .42515 L
.37101 .43113 L
.36148 .43598 L
.35929 .43702 L
.34756 .44271 L
.33728 .4477 L
.33583 .44836 L
.32411 .45377 L
.31238 .45923 L
.31195 .45943 L
.30066 .46439 L
.28893 .46965 L
.28556 .47115 L
.2772 .47467 L
.26548 .47972 L
.25818 .48288 L
.25375 .48466 L
.24203 .48952 L
.2303 .49447 L
.22998 .49461 L
.21857 .49912 L
.20685 .50396 L
.20111 .50633 L
.19512 .50859 L
.1834 .51331 L
.17185 .51806 L
.17167 .51812 L
.15994 .5226 L
.14822 .52739 L
.14242 .52978 L
.13649 .53195 L
.12477 .53665 L
.11322 .54151 L
.11304 .54157 L
.10131 .546 L
.08959 .55105 L
.08455 .55324 L
.07786 .55557 L
.06614 .56069 L
.05688 .56496 L
.05441 .56559 L
.04268 .57057 L
.03096 .57661 L
.0308 .57669 L
.01923 .58065 L
F
p
0 g
.001 w
.01923 .62205 m
.03096 .62194 L
.04268 .61996 L
.05441 .61789 L
.06614 .61569 L
.07786 .61336 L
.08508 .61187 L
.08959 .61109 L
.10131 .60873 L
.11304 .60603 L
.12477 .60319 L
.13649 .6002 L
.13673 .60014 L
.14822 .59739 L
.15994 .59426 L
.17167 .59099 L
.18062 .58841 L
.1834 .58767 L
.19512 .58434 L
.20685 .58077 L
.21857 .57709 L
.21982 .57669 L
.2303 .57348 L
.24203 .56966 L
.25375 .56568 L
.25585 .56496 L
.26548 .56179 L
.2772 .5577 L
.28893 .55348 L
.28959 .55324 L
.30066 .5493 L
.31238 .54494 L
.32136 .54151 L
.32411 .5405 L
.33583 .53603 L
.34756 .53141 L
.35161 .52978 L
.35929 .52678 L
.37101 .52203 L
.38059 .51806 L
.38274 .5172 L
.39447 .51236 L
.40619 .50737 L
.4086 .50633 L
.41792 .50239 L
.42964 .49727 L
.43566 .49461 L
.44137 .49214 L
.4531 .48691 L
.46205 .48288 L
Mistroke
.46482 .48165 L
.47655 .47634 L
.48773 .47115 L
.48827 .4709 L
.5 .46551 L
.51173 .45996 L
.51285 .45943 L
.52345 .45443 L
.53518 .44876 L
.53736 .4477 L
.5469 .44311 L
.55863 .43732 L
.56133 .43598 L
.57036 .4315 L
.58208 .42558 L
.58469 .42425 L
.59381 .41959 L
.60553 .41352 L
.60743 .41252 L
.61726 .40735 L
.62899 .40105 L
.62946 .4008 L
.64071 .39468 L
.65081 .38907 L
.65244 .38817 L
.66417 .38152 L
.67138 .37735 L
.67589 .37472 L
.68762 .36777 L
.69119 .36562 L
.69934 .36065 L
.71018 .35389 L
.71107 .35333 L
.7228 .34581 L
.72835 .34217 L
.73452 .33805 L
.74565 .33044 L
.74625 .33003 L
.75797 .32172 L
.76212 .31871 L
.7697 .31312 L
.77776 .30699 L
.78143 .30415 L
.79259 .29526 L
.79315 .29481 L
.80488 .285 L
.80658 .28354 L
.8166 .27468 L
.81976 .27181 L
.82833 .26381 L
Mistroke
.83218 .26008 L
.84006 .25221 L
.84378 .24836 L
.85178 .23977 L
.85462 .23663 L
.86351 .22635 L
.86471 .22491 L
.87406 .21318 L
.87523 .21163 L
.88263 .20145 L
.88696 .19511 L
.89045 .18973 L
.89749 .178 L
.89869 .1759 L
.90377 .16628 L
.90922 .15455 L
.91041 .15175 L
.91376 .14282 L
.91736 .1311 L
.91984 .11937 L
.92104 .10765 L
.92057 .09592 L
.91781 .08419 L
.91073 .07247 L
.91041 .07212 L
.89869 .06405 L
.88696 .06139 L
.87523 .0616 L
.86351 .06382 L
.85178 .06759 L
.84035 .07247 L
.84006 .07262 L
.82833 .0787 L
.81894 .08419 L
.8166 .08567 L
.80488 .09343 L
.80131 .09592 L
.79315 .10185 L
.78551 .10765 L
.78143 .11085 L
.7709 .11937 L
.7697 .12037 L
.75797 .1303 L
.75705 .1311 L
.74625 .14057 L
.74373 .14282 L
.73452 .15116 L
.73082 .15455 L
.7228 .16195 L
.71816 .16628 L
Mistroke
.71107 .17291 L
.70566 .178 L
.69934 .18398 L
.69329 .18973 L
.68762 .1951 L
.68093 .20145 L
.67589 .20624 L
.66859 .21318 L
.66417 .21735 L
.65616 .22491 L
.65244 .22839 L
.6436 .23663 L
.64071 .2393 L
.63089 .24836 L
.62899 .25009 L
.618 .26008 L
.61726 .26074 L
.60553 .27118 L
.60482 .27181 L
.59381 .2814 L
.59133 .28354 L
.58208 .29139 L
.57749 .29526 L
.57036 .30116 L
.56327 .30699 L
.55863 .3107 L
.54857 .31871 L
.5469 .32001 L
.53518 .32907 L
.53338 .33044 L
.52345 .33782 L
.51758 .34217 L
.51173 .34635 L
.5011 .35389 L
.5 .35465 L
.48827 .36267 L
.48393 .36562 L
.47655 .37046 L
.46598 .37735 L
.46482 .37807 L
.4531 .38537 L
.4471 .38907 L
.44137 .39246 L
.42964 .39941 L
.42728 .4008 L
.41792 .40607 L
.40645 .41252 L
.40619 .41266 L
.39447 .41895 L
.38454 .42425 L
Mistroke
.38274 .42515 L
.37101 .43113 L
.36148 .43598 L
.35929 .43702 L
.34756 .44271 L
.33728 .4477 L
.33583 .44836 L
.32411 .45377 L
.31238 .45923 L
.31195 .45943 L
.30066 .46439 L
.28893 .46965 L
.28556 .47115 L
.2772 .47467 L
.26548 .47972 L
.25818 .48288 L
.25375 .48466 L
.24203 .48952 L
.2303 .49447 L
.22998 .49461 L
.21857 .49912 L
.20685 .50396 L
.20111 .50633 L
.19512 .50859 L
.1834 .51331 L
.17185 .51806 L
.17167 .51812 L
.15994 .5226 L
.14822 .52739 L
.14242 .52978 L
.13649 .53195 L
.12477 .53665 L
.11322 .54151 L
.11304 .54157 L
.10131 .546 L
.08959 .55105 L
.08455 .55324 L
.07786 .55557 L
.06614 .56069 L
.05688 .56496 L
.05441 .56559 L
.04268 .57057 L
.03096 .57661 L
.0308 .57669 L
.01923 .58065 L
Mfstroke
P
1 g
.01923 .54783 m
.03096 .54318 L
.03525 .54151 L
.04268 .53854 L
.05441 .5339 L
.06492 .52978 L
.06614 .5293 L
.07786 .52464 L
.08959 .52002 L
.0946 .51806 L
.10131 .51538 L
.11304 .5107 L
.12409 .50633 L
.12477 .50606 L
.13649 .50133 L
.14822 .49662 L
.15322 .49461 L
.15994 .49186 L
.17167 .48706 L
.18188 .48288 L
.1834 .48225 L
.19512 .47734 L
.20685 .47243 L
.20988 .47115 L
.21857 .46743 L
.2303 .46237 L
.23712 .45943 L
.24203 .45727 L
.25375 .45207 L
.26356 .4477 L
.26548 .44683 L
.2772 .44146 L
.28893 .43605 L
.2891 .43598 L
.30066 .43051 L
.31238 .42488 L
.3137 .42425 L
.32411 .41914 L
.33583 .4133 L
.33738 .41252 L
.34756 .40732 L
.35929 .40122 L
.3601 .4008 L
.37101 .39497 L
.38192 .38907 L
.38274 .38862 L
.39447 .38208 L
.40282 .37735 L
.40619 .3754 L
.41792 .36854 L
.42286 .36562 L
.42964 .36153 L
.44137 .35435 L
.44211 .35389 L
.4531 .34695 L
.46055 .34217 L
.46482 .33938 L
.47655 .33162 L
.47831 .33044 L
.48827 .32364 L
.49537 .31871 L
.5 .31545 L
.51173 .30707 L
.51183 .30699 L
.52345 .29844 L
.52772 .29526 L
.53518 .28961 L
.54309 .28354 L
.5469 .28057 L
.558 .27181 L
.55863 .27131 L
.57036 .26182 L
.57248 .26008 L
.58208 .25213 L
.58659 .24836 L
.59381 .24224 L
.60036 .23663 L
.60553 .23215 L
.61384 .22491 L
.61726 .2219 L
.62707 .21318 L
.62899 .21146 L
.6401 .20145 L
.64071 .2009 L
.65244 .19021 L
.65297 .18973 L
.66417 .17943 L
.66571 .178 L
.67589 .16858 L
.67838 .16628 L
.68762 .1577 L
.69102 .15455 L
.69934 .14684 L
.70369 .14282 L
.71107 .13602 L
.71643 .1311 L
.7228 .12529 L
.72934 .11937 L
.73452 .11471 L
.74247 .10765 L
.74625 .10432 L
.75593 .09592 L
.75797 .09416 L
.7697 .0843 L
.76983 .08419 L
.78143 .07478 L
.78435 .07247 L
.79315 .06568 L
.79975 .06074 L
.80488 .05703 L
.81647 .04902 L
.8166 .04893 L
.82833 .04139 L
.83515 .03729 L
.84006 .03451 L
.85178 .02835 L
.85759 .02556 L
.86351 .02301 L
.87523 .01857 L
.88696 .01512 L
.89274 .01384 L
.01923 .01384 L
F
p
0 g
.001 w
.01923 .54783 m
.03096 .54318 L
.03525 .54151 L
.04268 .53854 L
.05441 .5339 L
.06492 .52978 L
.06614 .5293 L
.07786 .52464 L
.08959 .52002 L
.0946 .51806 L
.10131 .51538 L
.11304 .5107 L
.12409 .50633 L
.12477 .50606 L
.13649 .50133 L
.14822 .49662 L
.15322 .49461 L
.15994 .49186 L
.17167 .48706 L
.18188 .48288 L
.1834 .48225 L
.19512 .47734 L
.20685 .47243 L
.20988 .47115 L
.21857 .46743 L
.2303 .46237 L
.23712 .45943 L
.24203 .45727 L
.25375 .45207 L
.26356 .4477 L
.26548 .44683 L
.2772 .44146 L
.28893 .43605 L
.2891 .43598 L
.30066 .43051 L
.31238 .42488 L
.3137 .42425 L
.32411 .41914 L
.33583 .4133 L
.33738 .41252 L
.34756 .40732 L
.35929 .40122 L
.3601 .4008 L
.37101 .39497 L
.38192 .38907 L
.38274 .38862 L
.39447 .38208 L
.40282 .37735 L
.40619 .3754 L
.41792 .36854 L
Mistroke
.42286 .36562 L
.42964 .36153 L
.44137 .35435 L
.44211 .35389 L
.4531 .34695 L
.46055 .34217 L
.46482 .33938 L
.47655 .33162 L
.47831 .33044 L
.48827 .32364 L
.49537 .31871 L
.5 .31545 L
.51173 .30707 L
.51183 .30699 L
.52345 .29844 L
.52772 .29526 L
.53518 .28961 L
.54309 .28354 L
.5469 .28057 L
.558 .27181 L
.55863 .27131 L
.57036 .26182 L
.57248 .26008 L
.58208 .25213 L
.58659 .24836 L
.59381 .24224 L
.60036 .23663 L
.60553 .23215 L
.61384 .22491 L
.61726 .2219 L
.62707 .21318 L
.62899 .21146 L
.6401 .20145 L
.64071 .2009 L
.65244 .19021 L
.65297 .18973 L
.66417 .17943 L
.66571 .178 L
.67589 .16858 L
.67838 .16628 L
.68762 .1577 L
.69102 .15455 L
.69934 .14684 L
.70369 .14282 L
.71107 .13602 L
.71643 .1311 L
.7228 .12529 L
.72934 .11937 L
.73452 .11471 L
.74247 .10765 L
Mistroke
.74625 .10432 L
.75593 .09592 L
.75797 .09416 L
.7697 .0843 L
.76983 .08419 L
.78143 .07478 L
.78435 .07247 L
.79315 .06568 L
.79975 .06074 L
.80488 .05703 L
.81647 .04902 L
.8166 .04893 L
.82833 .04139 L
.83515 .03729 L
.84006 .03451 L
.85178 .02835 L
.85759 .02556 L
.86351 .02301 L
.87523 .01857 L
.88696 .01512 L
.89274 .01384 L
Mfstroke
P
.3 g
.84006 .08322 m
.85178 .07874 L
.86351 .0758 L
.87523 .07489 L
.88696 .07693 L
.89821 .08419 L
.89869 .08474 L
.9051 .09592 L
.90736 .10765 L
.90719 .11937 L
.90533 .1311 L
.9021 .14282 L
.89869 .15242 L
.89777 .15455 L
.89244 .16628 L
.88696 .17661 L
.88616 .178 L
.87906 .18973 L
.87523 .19552 L
.87109 .20145 L
.86351 .21164 L
.8623 .21318 L
.85272 .22491 L
.85178 .226 L
.8423 .23663 L
.84006 .23905 L
.8311 .24836 L
.82833 .25113 L
.81904 .26008 L
.8166 .26236 L
.80618 .27181 L
.80488 .27296 L
.79315 .28294 L
.79243 .28354 L
.78143 .29243 L
.77781 .29526 L
.7697 .30149 L
.76235 .30699 L
.75797 .31018 L
.74625 .3185 L
.74594 .31871 L
.73452 .32652 L
.72865 .33044 L
.7228 .33428 L
.71107 .34175 L
.7104 .34217 L
.69934 .34903 L
.69127 .35389 L
.68762 .35608 L
.67589 .36295 L
.67124 .36562 L
.66417 .36965 L
.65244 .37621 L
.65037 .37735 L
.64071 .3826 L
.62899 .38887 L
.62861 .38907 L
.61726 .39503 L
.60609 .4008 L
.60553 .40108 L
.59381 .40705 L
.58283 .41252 L
.58208 .4129 L
.57036 .41871 L
.55892 .42425 L
.55863 .42439 L
.5469 .43012 L
.53518 .43564 L
.53446 .43598 L
.52345 .44125 L
.51173 .44673 L
.50956 .4477 L
.5 .45218 L
.48827 .45761 L
.48415 .45943 L
.47655 .46295 L
.46482 .46831 L
.45828 .47115 L
.4531 .47353 L
.44137 .47888 L
.43199 .48288 L
.42964 .48393 L
.41792 .48922 L
.40619 .49417 L
.40507 .49461 L
.39447 .49934 L
.38274 .50434 L
.37761 .50633 L
.37101 .50916 L
.35929 .51415 L
.34916 .51806 L
.34756 .51873 L
.33583 .52364 L
.32411 .52823 L
.31961 .52978 L
.31238 .53269 L
.30066 .53734 L
.28893 .54143 L
.28867 .54151 L
.2772 .54591 L
.26548 .55019 L
.25585 .55324 L
.25375 .55399 L
.24203 .55819 L
.2303 .56218 L
.22047 .56496 L
.21857 .56559 L
.20685 .56947 L
.19512 .5732 L
.1834 .57634 L
.18147 .57669 L
.17167 .5796 L
.15994 .58307 L
.14822 .58638 L
.13649 .58836 L
.13625 .58841 L
.12477 .59136 L
.11304 .59448 L
.10131 .59576 L
.08959 .59775 L
.07786 .59936 L
.07056 .60014 L
.06614 .60067 L
.05441 .60089 L
.04696 .60014 L
.04542 .58841 L
.05441 .58204 L
.06348 .57669 L
.06614 .57527 L
.07786 .5693 L
.08685 .56496 L
.08959 .56337 L
.10131 .55837 L
.11304 .55326 L
.11308 .55324 L
.12477 .54733 L
.13649 .54214 L
.14088 .54151 L
.14822 .53813 L
.15994 .53289 L
.16968 .52978 L
.17167 .52892 L
.1834 .52374 L
.19512 .51909 L
.19878 .51806 L
.20685 .51456 L
.21857 .50961 L
.22788 .50633 L
.2303 .5053 L
.24203 .50022 L
.25375 .49554 L
.25663 .49461 L
.26548 .49071 L
.2772 .48562 L
.28454 .48288 L
.28893 .4809 L
.30066 .47561 L
.31164 .47115 L
.31238 .47081 L
.32411 .46529 L
.33583 .46008 L
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.34756 .4545 L
.35929 .44894 L
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.37101 .44315 L
.38274 .43728 L
.3856 .43598 L
.39447 .4312 L
.40619 .42501 L
.40777 .42425 L
.41792 .41846 L
.42867 .41252 L
.42964 .41195 L
.44137 .4049 L
.44847 .4008 L
.4531 .39789 L
.46482 .39054 L
.46726 .38907 L
.47655 .38291 L
.48513 .37735 L
.48827 .37518 L
.5 .36705 L
.50212 .36562 L
.51173 .35866 L
.51835 .35389 L
.52345 .35005 L
.53395 .34217 L
.53518 .34121 L
.5469 .33204 L
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.55863 .32256 L
.5634 .31871 L
.57036 .3129 L
.57741 .30699 L
.58208 .30297 L
.59104 .29526 L
.59381 .29282 L
.60431 .28354 L
.60553 .28244 L
.61726 .27183 L
.61728 .27181 L
.62899 .26103 L
.63002 .26008 L
.64071 .25007 L
.64255 .24836 L
.65244 .23899 L
.65493 .23663 L
.66417 .22779 L
.66718 .22491 L
.67589 .21654 L
.6794 .21318 L
.68762 .20526 L
.69157 .20145 L
.69934 .19399 L
.70381 .18973 L
.71107 .1828 L
.71613 .178 L
.7228 .17172 L
.72865 .16628 L
.73452 .16085 L
.74142 .15455 L
.74625 .1502 L
.75457 .14282 L
.75797 .13987 L
.76828 .1311 L
.7697 .12992 L
.78143 .12044 L
.78278 .11937 L
.79315 .11148 L
.79841 .10765 L
.80488 .10317 L
.81609 .09592 L
.8166 .09561 L
.82833 .08889 L
.83776 .08419 L
F
p
0 g
.001 w
.84006 .08322 m
.85178 .07874 L
.86351 .0758 L
.87523 .07489 L
.88696 .07693 L
.89821 .08419 L
.89869 .08474 L
.9051 .09592 L
.90736 .10765 L
.90719 .11937 L
.90533 .1311 L
.9021 .14282 L
.89869 .15242 L
.89777 .15455 L
.89244 .16628 L
.88696 .17661 L
.88616 .178 L
.87906 .18973 L
.87523 .19552 L
.87109 .20145 L
.86351 .21164 L
.8623 .21318 L
.85272 .22491 L
.85178 .226 L
.8423 .23663 L
.84006 .23905 L
.8311 .24836 L
.82833 .25113 L
.81904 .26008 L
.8166 .26236 L
.80618 .27181 L
.80488 .27296 L
.79315 .28294 L
.79243 .28354 L
.78143 .29243 L
.77781 .29526 L
.7697 .30149 L
.76235 .30699 L
.75797 .31018 L
.74625 .3185 L
.74594 .31871 L
.73452 .32652 L
.72865 .33044 L
.7228 .33428 L
.71107 .34175 L
.7104 .34217 L
.69934 .34903 L
.69127 .35389 L
.68762 .35608 L
.67589 .36295 L
Mistroke
.67124 .36562 L
.66417 .36965 L
.65244 .37621 L
.65037 .37735 L
.64071 .3826 L
.62899 .38887 L
.62861 .38907 L
.61726 .39503 L
.60609 .4008 L
.60553 .40108 L
.59381 .40705 L
.58283 .41252 L
.58208 .4129 L
.57036 .41871 L
.55892 .42425 L
.55863 .42439 L
.5469 .43012 L
.53518 .43564 L
.53446 .43598 L
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.51173 .44673 L
.50956 .4477 L
.5 .45218 L
.48827 .45761 L
.48415 .45943 L
.47655 .46295 L
.46482 .46831 L
.45828 .47115 L
.4531 .47353 L
.44137 .47888 L
.43199 .48288 L
.42964 .48393 L
.41792 .48922 L
.40619 .49417 L
.40507 .49461 L
.39447 .49934 L
.38274 .50434 L
.37761 .50633 L
.37101 .50916 L
.35929 .51415 L
.34916 .51806 L
.34756 .51873 L
.33583 .52364 L
.32411 .52823 L
.31961 .52978 L
.31238 .53269 L
.30066 .53734 L
.28893 .54143 L
.28867 .54151 L
.2772 .54591 L
Mistroke
.26548 .55019 L
.25585 .55324 L
.25375 .55399 L
.24203 .55819 L
.2303 .56218 L
.22047 .56496 L
.21857 .56559 L
.20685 .56947 L
.19512 .5732 L
.1834 .57634 L
.18147 .57669 L
.17167 .5796 L
.15994 .58307 L
.14822 .58638 L
.13649 .58836 L
.13625 .58841 L
.12477 .59136 L
.11304 .59448 L
.10131 .59576 L
.08959 .59775 L
.07786 .59936 L
.07056 .60014 L
.06614 .60067 L
.05441 .60089 L
.04696 .60014 L
.04542 .58841 L
.05441 .58204 L
.06348 .57669 L
.06614 .57527 L
.07786 .5693 L
.08685 .56496 L
.08959 .56337 L
.10131 .55837 L
.11304 .55326 L
.11308 .55324 L
.12477 .54733 L
.13649 .54214 L
.14088 .54151 L
.14822 .53813 L
.15994 .53289 L
.16968 .52978 L
.17167 .52892 L
.1834 .52374 L
.19512 .51909 L
.19878 .51806 L
.20685 .51456 L
.21857 .50961 L
.22788 .50633 L
.2303 .5053 L
.24203 .50022 L
Mistroke
.25375 .49554 L
.25663 .49461 L
.26548 .49071 L
.2772 .48562 L
.28454 .48288 L
.28893 .4809 L
.30066 .47561 L
.31164 .47115 L
.31238 .47081 L
.32411 .46529 L
.33583 .46008 L
.33752 .45943 L
.34756 .4545 L
.35929 .44894 L
.36216 .4477 L
.37101 .44315 L
.38274 .43728 L
.3856 .43598 L
.39447 .4312 L
.40619 .42501 L
.40777 .42425 L
.41792 .41846 L
.42867 .41252 L
.42964 .41195 L
.44137 .4049 L
.44847 .4008 L
.4531 .39789 L
.46482 .39054 L
.46726 .38907 L
.47655 .38291 L
.48513 .37735 L
.48827 .37518 L
.5 .36705 L
.50212 .36562 L
.51173 .35866 L
.51835 .35389 L
.52345 .35005 L
.53395 .34217 L
.53518 .34121 L
.5469 .33204 L
.54895 .33044 L
.55863 .32256 L
.5634 .31871 L
.57036 .3129 L
.57741 .30699 L
.58208 .30297 L
.59104 .29526 L
.59381 .29282 L
.60431 .28354 L
.60553 .28244 L
Mistroke
.61726 .27183 L
.61728 .27181 L
.62899 .26103 L
.63002 .26008 L
.64071 .25007 L
.64255 .24836 L
.65244 .23899 L
.65493 .23663 L
.66417 .22779 L
.66718 .22491 L
.67589 .21654 L
.6794 .21318 L
.68762 .20526 L
.69157 .20145 L
.69934 .19399 L
.70381 .18973 L
.71107 .1828 L
.71613 .178 L
.7228 .17172 L
.72865 .16628 L
.73452 .16085 L
.74142 .15455 L
.74625 .1502 L
.75457 .14282 L
.75797 .13987 L
.76828 .1311 L
.7697 .12992 L
.78143 .12044 L
.78278 .11937 L
.79315 .11148 L
.79841 .10765 L
.80488 .10317 L
.81609 .09592 L
.8166 .09561 L
.82833 .08889 L
.83776 .08419 L
.84006 .08322 L
Mfstroke
P
.2 g
.20685 .5386 m
.21857 .53253 L
.22217 .54151 L
.21857 .5424 L
.20685 .54483 L
.20244 .54151 L
F
p
0 g
.001 w
.20685 .5386 m
.21857 .53253 L
.22217 .54151 L
.21857 .5424 L
.20685 .54483 L
.20244 .54151 L
.20685 .5386 L
s
P
.85178 .09245 m
.86351 .09114 L
.87523 .09322 L
.8812 .09592 L
.88696 .10255 L
.88912 .10765 L
.89145 .11937 L
.89084 .1311 L
.88836 .14282 L
.88696 .14808 L
.88449 .15455 L
.87939 .16628 L
.87523 .17445 L
.87322 .178 L
.86603 .18973 L
.86351 .19355 L
.85796 .20145 L
.85178 .20962 L
.84894 .21318 L
.84006 .22376 L
.83905 .22491 L
.82833 .23654 L
.82824 .23663 L
.8166 .24831 L
.81656 .24836 L
.80488 .25927 L
.80398 .26008 L
.79315 .26953 L
.79045 .27181 L
.78143 .27919 L
.77596 .28354 L
.7697 .28838 L
.76049 .29526 L
.75797 .29711 L
.74625 .30542 L
.74398 .30699 L
.73452 .31341 L
.72644 .31871 L
.7228 .32108 L
.71107 .32849 L
.70788 .33044 L
.69934 .33561 L
.68818 .34217 L
.68762 .34249 L
.67589 .3492 L
.66735 .35389 L
.66417 .35563 L
.65244 .36195 L
.64543 .36562 L
.64071 .36807 L
.62899 .37406 L
.62235 .37735 L
.61726 .37987 L
.60553 .38563 L
.5982 .38907 L
.59381 .39116 L
.58208 .39673 L
.57299 .4008 L
.57036 .40201 L
.55863 .40744 L
.5469 .41242 L
.54663 .41252 L
.53518 .4178 L
.52345 .42293 L
.51966 .42425 L
.51173 .42778 L
.5 .43338 L
.49178 .43598 L
.48827 .43754 L
.47655 .44369 L
.46482 .44707 L
.46355 .4477 L
.4531 .45346 L
.44137 .45668 L
.4352 .45943 L
.42964 .46259 L
.41792 .46635 L
.40619 .47114 L
.40616 .47115 L
.39447 .47601 L
.38274 .48093 L
.37931 .48288 L
.37101 .48588 L
.35929 .49069 L
.35038 .49461 L
.34756 .49562 L
.33583 .50043 L
.32411 .50527 L
.3231 .50633 L
.31238 .51005 L
.30066 .51467 L
.29256 .51806 L
.28893 .51925 L
.2772 .52361 L
.26548 .52787 L
.26167 .52978 L
.25375 .53186 L
.24203 .53577 L
.2303 .5393 L
.22447 .52978 L
.2303 .52718 L
.24203 .5221 L
.25121 .51806 L
.25375 .51713 L
.26548 .51223 L
.2772 .50739 L
.27978 .50633 L
.28893 .50256 L
.30066 .49764 L
.30689 .49461 L
.31238 .4926 L
.32411 .48754 L
.3348 .48288 L
.33583 .48246 L
.34756 .47708 L
.35929 .47156 L
.36015 .47115 L
.37101 .46589 L
.38274 .45995 L
.38332 .45943 L
.39447 .45369 L
.40529 .4477 L
.40619 .44723 L
.41792 .4406 L
.42542 .43598 L
.42964 .43354 L
.44137 .42633 L
.4444 .42425 L
.4531 .41874 L
.46247 .41252 L
.46482 .41061 L
.47655 .40284 L
.47938 .4008 L
.48827 .39333 L
.49561 .38907 L
.5 .38546 L
.51119 .37735 L
.51173 .3769 L
.52345 .36735 L
.52616 .36562 L
.53518 .35798 L
.54058 .35389 L
.5469 .34842 L
.55464 .34217 L
.55863 .33864 L
.56824 .33044 L
.57036 .32854 L
.58152 .31871 L
.58208 .3182 L
.59381 .30758 L
.59449 .30699 L
.60553 .29672 L
.60714 .29526 L
.61726 .28573 L
.61963 .28354 L
.62899 .27455 L
.63189 .27181 L
.64071 .26325 L
.64401 .26008 L
.65244 .25183 L
.65602 .24836 L
.66417 .24033 L
.66796 .23663 L
.67589 .2288 L
.67987 .22491 L
.68762 .21728 L
.69182 .21318 L
.69934 .20579 L
.70379 .20145 L
.71107 .19438 L
.71592 .18973 L
.7228 .18314 L
.72822 .178 L
.73452 .17211 L
.74083 .16628 L
.74625 .16134 L
.75385 .15455 L
.75797 .15094 L
.76747 .14282 L
.7697 .14097 L
.78143 .13153 L
.78197 .1311 L
.79315 .12266 L
.7977 .11937 L
.80488 .11451 L
.81592 .10765 L
.8166 .10726 L
.82833 .10095 L
.84006 .09596 L
.84017 .09592 L
F
p
0 g
.001 w
.85178 .09245 m
.86351 .09114 L
.87523 .09322 L
.8812 .09592 L
.88696 .10255 L
.88912 .10765 L
.89145 .11937 L
.89084 .1311 L
.88836 .14282 L
.88696 .14808 L
.88449 .15455 L
.87939 .16628 L
.87523 .17445 L
.87322 .178 L
.86603 .18973 L
.86351 .19355 L
.85796 .20145 L
.85178 .20962 L
.84894 .21318 L
.84006 .22376 L
.83905 .22491 L
.82833 .23654 L
.82824 .23663 L
.8166 .24831 L
.81656 .24836 L
.80488 .25927 L
.80398 .26008 L
.79315 .26953 L
.79045 .27181 L
.78143 .27919 L
.77596 .28354 L
.7697 .28838 L
.76049 .29526 L
.75797 .29711 L
.74625 .30542 L
.74398 .30699 L
.73452 .31341 L
.72644 .31871 L
.7228 .32108 L
.71107 .32849 L
.70788 .33044 L
.69934 .33561 L
.68818 .34217 L
.68762 .34249 L
.67589 .3492 L
.66735 .35389 L
.66417 .35563 L
.65244 .36195 L
.64543 .36562 L
.64071 .36807 L
Mistroke
.62899 .37406 L
.62235 .37735 L
.61726 .37987 L
.60553 .38563 L
.5982 .38907 L
.59381 .39116 L
.58208 .39673 L
.57299 .4008 L
.57036 .40201 L
.55863 .40744 L
.5469 .41242 L
.54663 .41252 L
.53518 .4178 L
.52345 .42293 L
.51966 .42425 L
.51173 .42778 L
.5 .43338 L
.49178 .43598 L
.48827 .43754 L
.47655 .44369 L
.46482 .44707 L
.46355 .4477 L
.4531 .45346 L
.44137 .45668 L
.4352 .45943 L
.42964 .46259 L
.41792 .46635 L
.40619 .47114 L
.40616 .47115 L
.39447 .47601 L
.38274 .48093 L
.37931 .48288 L
.37101 .48588 L
.35929 .49069 L
.35038 .49461 L
.34756 .49562 L
.33583 .50043 L
.32411 .50527 L
.3231 .50633 L
.31238 .51005 L
.30066 .51467 L
.29256 .51806 L
.28893 .51925 L
.2772 .52361 L
.26548 .52787 L
.26167 .52978 L
.25375 .53186 L
.24203 .53577 L
.2303 .5393 L
.22447 .52978 L
Mistroke
.2303 .52718 L
.24203 .5221 L
.25121 .51806 L
.25375 .51713 L
.26548 .51223 L
.2772 .50739 L
.27978 .50633 L
.28893 .50256 L
.30066 .49764 L
.30689 .49461 L
.31238 .4926 L
.32411 .48754 L
.3348 .48288 L
.33583 .48246 L
.34756 .47708 L
.35929 .47156 L
.36015 .47115 L
.37101 .46589 L
.38274 .45995 L
.38332 .45943 L
.39447 .45369 L
.40529 .4477 L
.40619 .44723 L
.41792 .4406 L
.42542 .43598 L
.42964 .43354 L
.44137 .42633 L
.4444 .42425 L
.4531 .41874 L
.46247 .41252 L
.46482 .41061 L
.47655 .40284 L
.47938 .4008 L
.48827 .39333 L
.49561 .38907 L
.5 .38546 L
.51119 .37735 L
.51173 .3769 L
.52345 .36735 L
.52616 .36562 L
.53518 .35798 L
.54058 .35389 L
.5469 .34842 L
.55464 .34217 L
.55863 .33864 L
.56824 .33044 L
.57036 .32854 L
.58152 .31871 L
.58208 .3182 L
.59381 .30758 L
Mistroke
.59449 .30699 L
.60553 .29672 L
.60714 .29526 L
.61726 .28573 L
.61963 .28354 L
.62899 .27455 L
.63189 .27181 L
.64071 .26325 L
.64401 .26008 L
.65244 .25183 L
.65602 .24836 L
.66417 .24033 L
.66796 .23663 L
.67589 .2288 L
.67987 .22491 L
.68762 .21728 L
.69182 .21318 L
.69934 .20579 L
.70379 .20145 L
.71107 .19438 L
.71592 .18973 L
.7228 .18314 L
.72822 .178 L
.73452 .17211 L
.74083 .16628 L
.74625 .16134 L
.75385 .15455 L
.75797 .15094 L
.76747 .14282 L
.7697 .14097 L
.78143 .13153 L
.78197 .1311 L
.79315 .12266 L
.7977 .11937 L
.80488 .11451 L
.81592 .10765 L
.8166 .10726 L
.82833 .10095 L
.84006 .09596 L
.84017 .09592 L
.85178 .09245 L
Mfstroke
P
.1 g
.82833 .11637 m
.84006 .11267 L
.85178 .11164 L
.86351 .11558 L
.86727 .11937 L
.87127 .1311 L
.87082 .14282 L
.86797 .15455 L
.86351 .16617 L
.86342 .16628 L
.85756 .178 L
.85178 .18776 L
.85048 .18973 L
.84225 .20145 L
.84006 .20436 L
.833 .21318 L
.82833 .21866 L
.82271 .22491 L
.8166 .23139 L
.81141 .23663 L
.80488 .24293 L
.79902 .24836 L
.79315 .2536 L
.78557 .26008 L
.78143 .26352 L
.77097 .27181 L
.7697 .27279 L
.75797 .28155 L
.75521 .28354 L
.74625 .28986 L
.7382 .29526 L
.73452 .29767 L
.7228 .30517 L
.71984 .30699 L
.71107 .31229 L
.69984 .31871 L
.69934 .319 L
.68762 .32553 L
.67822 .33044 L
.67589 .33164 L
.66417 .33755 L
.65424 .34217 L
.65244 .34299 L
.64071 .34837 L
.62899 .35316 L
.62742 .35389 L
.61726 .35761 L
.60553 .36267 L
.59381 .36393 L
.58208 .36417 L
.57941 .35389 L
.58208 .34943 L
.58689 .34217 L
.59381 .33362 L
.59636 .33044 L
.60553 .32007 L
.6067 .31871 L
.61726 .30701 L
.61732 .30699 L
.62819 .29526 L
.62899 .29437 L
.63914 .28354 L
.64071 .28181 L
.65026 .27181 L
.65244 .26945 L
.66138 .26008 L
.66417 .2571 L
.67255 .24836 L
.67589 .24483 L
.68385 .23663 L
.68762 .2327 L
.69525 .22491 L
.69934 .22071 L
.70684 .21318 L
.71107 .2089 L
.71857 .20145 L
.7228 .19729 L
.7306 .18973 L
.73452 .18597 L
.74301 .178 L
.74625 .17501 L
.75594 .16628 L
.75797 .16448 L
.76963 .15455 L
.7697 .1545 L
.78143 .14502 L
.78423 .14282 L
.79315 .13632 L
.80076 .1311 L
.80488 .12852 L
.8166 .12175 L
.82055 .11937 L
F
p
0 g
.001 w
.82833 .11637 m
.84006 .11267 L
.85178 .11164 L
.86351 .11558 L
.86727 .11937 L
.87127 .1311 L
.87082 .14282 L
.86797 .15455 L
.86351 .16617 L
.86342 .16628 L
.85756 .178 L
.85178 .18776 L
.85048 .18973 L
.84225 .20145 L
.84006 .20436 L
.833 .21318 L
.82833 .21866 L
.82271 .22491 L
.8166 .23139 L
.81141 .23663 L
.80488 .24293 L
.79902 .24836 L
.79315 .2536 L
.78557 .26008 L
.78143 .26352 L
.77097 .27181 L
.7697 .27279 L
.75797 .28155 L
.75521 .28354 L
.74625 .28986 L
.7382 .29526 L
.73452 .29767 L
.7228 .30517 L
.71984 .30699 L
.71107 .31229 L
.69984 .31871 L
.69934 .319 L
.68762 .32553 L
.67822 .33044 L
.67589 .33164 L
.66417 .33755 L
.65424 .34217 L
.65244 .34299 L
.64071 .34837 L
.62899 .35316 L
.62742 .35389 L
.61726 .35761 L
.60553 .36267 L
.59381 .36393 L
.58208 .36417 L
Mistroke
.57941 .35389 L
.58208 .34943 L
.58689 .34217 L
.59381 .33362 L
.59636 .33044 L
.60553 .32007 L
.6067 .31871 L
.61726 .30701 L
.61732 .30699 L
.62819 .29526 L
.62899 .29437 L
.63914 .28354 L
.64071 .28181 L
.65026 .27181 L
.65244 .26945 L
.66138 .26008 L
.66417 .2571 L
.67255 .24836 L
.67589 .24483 L
.68385 .23663 L
.68762 .2327 L
.69525 .22491 L
.69934 .22071 L
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1640 y Fy(\016)2677 1652 y Fv(n)2718 1660 y Fh(m)2773
1652 y Fv(;n)2834 1636 y Fi(0)2834 1669 y Fh(m)2916 1640
y Fy(\016)2953 1652 y Fv(K;K)3089 1636 y Fi(0)3162 1640
y Fy(:)243 1863 y FB(Pri)18 b(o)r(dre\236enom)g(izb)r(oru)g(parametara)
e Fy(J)o(;)e(\025;)42 b FB(\243ini)19 b(se)f(opra)n(vdanim)f
(primjetiti)i(da)f(v)-5 b(alno)5 b(j)18 b(funk)n(ciji)h(p)r(olarona)118
1963 y(ne)25 b(pridonose)f(sv)-5 b(a)24 b(o)n(v)-5 b(a)24
b(stanja)g(jednak)n(o.)35 b(U)26 b(ekstremnom)e(primjeru,)h(k)-5
b(ada)24 b(je)i Fy(\025)d Fx(=)g(0)p FB(,)i(osno)n(vno)e(stanje)i
(na\262eg)118 2062 y(hamiltonijana)31 b(je)h(jednosta)n(vno)e(b)r
(ezfononsk)n(o)g(s)h(elektronom)f(u)i(stanju)f Fy(K)6
b FB(.)48 b(T)-7 b(o)r(\243no)31 b(bi)g(ta)5 b(j)32 b(rezultat)f
(dobili)118 2162 y(primjenom)26 b(n)n(umeri\243)n(k)n(e)f(meto)r(de)h
(i)g(k)-5 b(ada)26 b(bi)g(na\262u)g(bazu)g(sv)n(eli)f(samo)g(na)h
(jedno,)g(o)n(v)n(o)f(banalno)g(stanje,)h(k)n(o)5 b(je)25
b(je)118 2262 y(ujedno)20 b(tra\272eno)e(rje\262enje.)34
b(Pro\262iruju\242i)18 b(o)n(v)-5 b(akv)n(o)17 b(razmi\262ljanje)2113
2231 y Ft(23)2202 2262 y FB(na)i(slo\272enije)g(primjere,)i(mogu)e(se)g
(na)g(temelju)118 2361 y(o)r(\243ekiv)-5 b(anog)32 b(oblik)-5
b(a)32 b(rje\262enja,)i(dobiv)n(enog)e(npr.)53 b(nek)n(om)33
b(drugom)f(meto)r(dom,)i(ili)g(prou\243a)n(v)-5 b(anjem)31
b(rezultata)118 2461 y(o)n(v)n(e)h(n)n(umeri\243)n(k)n(e,)h(iz)g(baze)g
(izbaciti)g(ona)f(stanja)h(za)g(k)n(o)5 b(ja)31 b(se)i(ne)g(o)r
(\243ekuje)g(da)g(\242e)g(doprinjeti)g(rje\262enju.)54
b(T)-7 b(ak)n(o)118 2561 y(npr,)26 b(ak)n(o)e(je)i(ukupni)g(o)r
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(v)n(eli\243ine)g Fx(10)2518 2530 y Fq(3)2554 2561 y
FB(,)h(logi\243no)f(je)h(iz)g(baze)f(izbaciti)g(ona)118
2660 y(stanja)e(\243iji)i(je)f(bro)5 b(j)23 b(fonona)g(reda)f(v)n
(eli\243ine)i Fx(10)f FB(i)h(manji,)g(ili)g(ona)f(stanja)h(\243iji)g
(je)g(bro)5 b(j)23 b(fonona)g(reda)g(v)n(eli\243ine)g
Fx(10)3602 2630 y Fq(5)3638 2660 y FB(,)118 2760 y(ili)i(v)n(e\242i.)36
b(Ak)n(o)24 b(je)h(pak)g(o)r(\243ekiv)-5 b(ano)24 b(efektivno)g
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b(a,)23 b(tak)n(o\236er)g(se)i(\243ini)g(opra)n(vdanim)118
2859 y(izbaciti)j(iz)f(baze)g(ona)g(stanja)g(k)n(o)5
b(ja)26 b(sadr\272e)h(fonone)g(na)g(daljinama)g(v)n(e\242im)g(o)r(d)h
(recimo)f Fx(10)2996 2829 y Fq(2)3032 2859 y FB(.)243
2959 y(Ovu)32 b(reduk)n(ciju)h(baze)f(Hilb)r(erto)n(v)n(og)g(prostora)e
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(vjeriti.)118 3059 y(Sv)-5 b(ak)n(o)38 b(stanje)h(doprinosi)f(ukupno)5
b(j)39 b(v)-5 b(alno)5 b(j)39 b(funk)n(ciji)h(p)r(olarona)d(s)i(o)r
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3158 y(amplitude)29 b(ne)f(mijenja)5 b(ju)29 b(bitno)f(pro\262irenjem)f
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(zaklju\243iti)g(da)g(stanja)118 3258 y(k)n(o)5 b(ja)26
b(smo)h(uklju\243ili)i(ne)e(doprinose)f(bitno)i(ukupno)5
b(j)27 b(v)-5 b(alno)5 b(j)27 b(funk)n(ciji)i(p)r(olarona,)c(pa)j(se)f
(mogu)g(i)h(zanemariti.)243 3358 y(Razna)e Fw(j)e Fy(n)594
3370 y Fq(0)631 3358 y Fy(;)14 b(n)718 3370 y Fq(1)755
3358 y Fy(;)g(n)842 3370 y Fr(\000)p Fq(1)930 3358 y
Fy(;)g(:::;)g(n)1123 3370 y Fv(m)1186 3358 y Fy(;)g(::)23
b(>)28 b FB(stanja)1605 3327 y Ft(24)1702 3358 y FB(p)r(o)n(v)n(ezana)e
(su)h(slijede\242om)h(relacijom)592 3610 y Fy(H)i Fw(j)23
b Fy(n)787 3622 y Fq(0)824 3610 y Fy(;)14 b(n)911 3622
y Fq(1)948 3610 y Fy(;)g(n)1035 3622 y Fr(\000)p Fq(1)1124
3610 y Fy(;)g(::;)g(n)1294 3622 y Fv(m)1357 3610 y Fy(;)g(::)23
b(>)83 b Fx(=)f Fw(\000)p Fy(J)8 b Fx(\()p Fy(e)1948
3576 y Fr(\000)p Fv(iK)t(a)2146 3610 y Fw(j)24 b Fy(n)2243
3622 y Fq(1)2280 3610 y Fy(;)14 b(n)2367 3622 y Fq(2)2404
3610 y Fy(;)g(n)2491 3622 y Fq(0)2528 3610 y Fy(;)g(::;)g(n)2698
3622 y Fv(m)p Fq(+1)2844 3610 y Fy(;)g(::)24 b(>)1758
3735 y Fx(+)f Fy(e)1885 3701 y Fv(iK)t(a)2031 3735 y
Fw(j)g Fy(n)2127 3747 y Fr(\000)p Fq(1)2216 3735 y Fy(;)14
b(n)2303 3747 y Fq(0)2340 3735 y Fy(;)g(n)2427 3747 y
Fr(\000)p Fq(2)2516 3735 y Fy(;)g(::;)g(n)2686 3747 y
Fv(m)p Fr(\000)p Fq(1)2834 3735 y Fy(;)g(::)23 b(>)p
Fx(\))1611 3876 y(+)82 b Fy(!)26 b Fx(\()1868 3797 y
Fs(X)1899 3971 y Fv(m)2002 3876 y Fy(n)2052 3888 y Fv(m)2115
3876 y Fx(\))d Fw(j)h Fy(n)2267 3888 y Fq(0)2304 3876
y Fy(;)14 b(n)2391 3888 y Fq(1)2428 3876 y Fy(;)g(n)2515
3888 y Fr(\000)p Fq(1)2603 3876 y Fy(;)g(::;)g(n)2773
3888 y Fv(m)2836 3876 y Fy(;)g(::)23 b(>)1611 4086 y
Fx(+)82 b Fy(\025)24 b Fx(\()1862 4020 y Fw(p)p 1931
4020 231 4 v 66 x Fy(n)1981 4098 y Fq(0)2037 4086 y Fx(+)18
b(1)23 b Fw(j)g Fy(n)2281 4098 y Fq(0)2336 4086 y Fx(+)18
b(1)p Fy(;)c(n)2548 4098 y Fq(1)2585 4086 y Fy(;)g(n)2672
4098 y Fr(\000)p Fq(1)2761 4086 y Fy(;)g(::;)g(n)2931
4098 y Fv(m)2993 4086 y Fy(;)g(::)23 b(>)1758 4211 y
Fx(+)1823 4153 y Fw(p)p 1892 4153 88 4 v 58 x Fy(n)1942
4223 y Fq(0)2002 4211 y Fw(j)g Fy(n)2098 4223 y Fq(0)2154
4211 y Fw(\000)18 b Fx(1)p Fy(;)c(n)2366 4223 y Fq(1)2402
4211 y Fy(;)g(n)2489 4223 y Fr(\000)p Fq(1)2578 4211
y Fy(;)g(::;)g(n)2748 4223 y Fv(m)2811 4211 y Fy(;)g(::)23
b(>)p Fx(\))46 b Fy(;)118 4364 y FB(p)r(omo)r(\242u)36
b(k)n(o)5 b(je)36 b(iz)g(jednog)g(v)n(ektora)e(baze)i(p)r(otprostora)f
Fw(@)h FB(pro)r(duciramo)e(druge.)63 b(P)n(o)r(\243nimo)36
b(za)g(ilustraciju)118 4463 y(pro)r(duk)n(ciju)27 b(b)r(ezfonoskim)g
(stanjem)468 4716 y Fy(H)i Fw(j)23 b Fx(0)p Fy(;)14 b
Fx(0)p Fy(;)g Fx(0)p Fy(;)g(::;)g Fx(0)p Fy(;)g(::)21
b(>)83 b Fx(=)g Fw(\000)p Fx(2)p Fy(J)20 b Fx(cos)13
b Fy(K)6 b(a)46 b Fw(j)23 b Fx(0)p Fy(;)14 b Fx(0)p Fy(;)g
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Fy(;)g(::;)g Fx(0)p Fy(;)g(::)21 b(>)468 4841 y(H)29
b Fw(j)23 b Fx(1)p Fy(;)14 b Fx(0)p Fy(;)g Fx(0)p Fy(;)g(::;)g
Fx(0)p Fy(;)g(::)21 b(>)83 b Fx(=)g Fw(\000)p Fy(J)30
b Fx(\()p Fy(e)1586 4807 y Fr(\000)p Fv(iK)t(a)1808 4841
y Fw(j)23 b Fx(0)p Fy(;)14 b Fx(0)p Fy(;)g Fx(1)p Fy(;)g(::;)g
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4841 y Fw(j)g Fx(0)p Fy(;)14 b Fx(1)p Fy(;)g Fx(0)p Fy(;)g(::;)g
Fx(0)p Fy(;)g(::)21 b(>)p Fx(\))1226 4965 y(+)83 b Fy(!)25
b Fw(j)e Fx(1)p Fy(;)14 b Fx(0)p Fy(;)g Fx(0)p Fy(;)g(::;)g
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b Fx(\()1477 5026 y Fw(p)p 1546 5026 42 4 v 73 x Fx(2)46
b Fw(j)23 b Fx(2)p Fy(;)14 b Fx(0)p Fy(;)g Fx(0)p Fy(;)g(::;)g
Fx(0)p Fy(;)g(::)21 b(>)i Fx(+)f Fw(j)h Fx(0)p Fy(;)14
b Fx(0)p Fy(;)g Fx(0)p Fy(;)g(::;)g Fx(0)p Fy(;)g(::)21
b(>)p Fx(\))468 5223 y Fy(H)29 b Fw(j)23 b Fx(2)p Fy(;)14
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b(>)83 b Fx(=)g Fy(:::::::)468 5348 y(H)29 b Fw(j)23
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Fx(0)p Fy(;)g(::)21 b(>)83 b Fx(=)g Fy(:::::::)468 5472
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Fo(.)p eop
%%Page: 25 25
25 24 bop 3578 -240 a FB(25)118 51 y(U)33 b(prv)n(o)5
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665 y Fs(2)876 811 y(6)876 861 y(6)876 911 y(6)876 961
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b(e)2049 801 y Fr(\000)p Fv(iK)t(a)2307 831 y Fw(\000)p
Fy(J)g(e)2465 801 y Fv(K)t(a)2647 831 y Fy(\025)2695
762 y Fw(p)p 2765 762 42 4 v 2765 831 a Fx(2)1162 931
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1067 y Fw(p)p 1680 1067 V 1680 1136 a Fx(2)315 b(0)336
b(0)222 b(2)p Fy(!)2848 665 y Fs(3)2848 811 y(7)2848
861 y(7)2848 911 y(7)2848 961 y(7)2848 1014 y(5)118 1314
y FB(U)39 b(praksi,)g(dak)-5 b(ak)n(o,)39 b(dimenzija)g(matrice)e(mora)
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(up)r(otrebljivi)118 1414 y(rezultati.)243 1513 y(T)-7
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1613 y(o)n(v)-5 b(ak)n(o)26 b(v)n(elik)n(om)g(bro)5 b(ju)27
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1912 y(Mb\).)p eop
%%Page: 26 26
26 25 bop 3578 -240 a FB(26)118 51 y FA(4)131 b(Rezultati)118
249 y Fu(4.1)112 b(Uv)m(o)s(d)118 402 y FB(Na)30 b(stranicama)f(k)n(o)5
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b(\242emo)f(ozna\243it)g(s)g(nekim)h(drugim)f(indeksom)g(radi)g
(lak\262eg)f(snala\272enja)p 780 779 2151 4 v 778 879
4 100 v 795 879 V 846 849 a(indeks)p 1123 879 V 100 w(meto)r(da)p
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V 780 882 2151 4 v 780 899 V 778 998 4 100 v 795 998
V 846 968 a(RS)p 1123 998 V 222 w(ra\243un)g(smetnje)i(za)g(slabu)f(v)n
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1002 2151 4 v 778 1101 4 100 v 795 1101 V 846 1071 a(JV)p
1123 1101 V 224 w(v)-5 b(arijaciona)25 b(meto)r(da)j(za)f(jaku)g(v)n
(ezu)p 2490 1101 V 197 w(3.3)p 2912 1101 V 2929 1101
V 780 1105 2151 4 v 778 1204 4 100 v 795 1204 V 846 1174
a(D)p 1123 1204 V 266 w(dinami\243)n(k)-5 b(a)27 b(aproksimacija)p
2490 1204 V 473 w(3.4)p 2912 1204 V 2929 1204 V 780 1208
2151 4 v 778 1307 4 100 v 795 1307 V 846 1277 a(AD)p
1123 1307 V 204 w(Holsteino)n(v)n(o)e(rje\262enje)p 2490
1307 V 646 w(3.5)p 2912 1307 V 2929 1307 V 780 1311 2151
4 v 778 1410 4 100 v 795 1410 V 846 1380 a(VV)p 1123
1410 V 205 w(v)-5 b(arijaciona)25 b(meto)r(da)j(s)f(tri)h(parametra)p
2490 1410 V 97 w(3.6)p 2912 1410 V 2929 1410 V 780 1413
2151 4 v 778 1513 4 100 v 795 1513 V 846 1483 a(N)p 1123
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843 y(\000)p Fv(q)r(;o)2960 822 y Fx(\))23 b Fy(W)3093
834 y Fv(v)r(v)r(o)3201 822 y Fx(\()p Fy(k)s(;)14 b(q)s
Fx(\)])668 1055 y(+)83 b Fy(c)852 1015 y Fr(y)852 1080
y Fv(k)q Fq(+)p Fv(q)r(;c)1026 1055 y Fy(c)1062 1067
y Fv(k)q(;c)1175 1055 y Fx([\()p Fy(b)1266 1067 y Fv(q)r(;a)1377
1055 y Fx(+)18 b Fy(b)1496 1015 y Fr(y)1496 1076 y(\000)p
Fv(q)r(;a)1640 1055 y Fx(\))23 b Fy(W)1773 1067 y Fv(cca)1873
1055 y Fx(\()p Fy(k)s(;)14 b(q)s Fx(\))19 b(+)f(\()p
Fy(b)2230 1067 y Fv(q)r(;o)2337 1055 y Fx(+)g Fy(b)2456
1015 y Fr(y)2456 1076 y(\000)p Fv(q)r(;o)2597 1055 y
Fx(\))23 b Fy(W)2730 1067 y Fv(cco)2827 1055 y Fx(\()p
Fy(k)s(;)14 b(q)s Fx(\)])668 1205 y(+)83 b Fy(c)852 1165
y Fr(y)852 1230 y Fv(k)q Fq(+)p Fv(q)r(;v)1031 1205 y
Fy(c)1067 1217 y Fv(k)q(;c)1180 1205 y Fx([\()p Fy(b)1271
1217 y Fv(q)r(;a)1382 1205 y Fx(+)18 b Fy(b)1501 1165
y Fr(y)1501 1225 y(\000)p Fv(q)r(;a)1645 1205 y Fx(\))24
b Fy(W)1779 1217 y Fv(v)r(ca)1884 1205 y Fx(\()p Fy(k)s(;)14
b(q)s Fx(\))19 b(+)f(\()p Fy(b)2241 1217 y Fv(q)r(;o)2348
1205 y Fx(+)g Fy(b)2467 1165 y Fr(y)2467 1225 y(\000)p
Fv(q)r(;o)2608 1205 y Fx(\))23 b Fy(W)2741 1217 y Fv(v)r(co)2844
1205 y Fx(\()p Fy(k)s(;)14 b(q)s Fx(\)])668 1355 y(+)83
b Fy(c)852 1315 y Fr(y)852 1380 y Fv(k)q Fq(+)p Fv(q)r(;c)1026
1355 y Fy(c)1062 1367 y Fv(k)q(;v)1180 1355 y Fx([\()p
Fy(b)1271 1367 y Fv(q)r(;a)1382 1355 y Fx(+)18 b Fy(b)1501
1315 y Fr(y)1501 1375 y(\000)p Fv(q)r(;a)1645 1355 y
Fx(\))24 b Fy(W)1779 1367 y Fv(cv)r(a)1884 1355 y Fx(\()p
Fy(k)s(;)14 b(q)s Fx(\))19 b(+)f(\()p Fy(b)2241 1367
y Fv(q)r(;o)2348 1355 y Fx(+)g Fy(b)2467 1315 y Fr(y)2467
1375 y(\000)p Fv(q)r(;o)2608 1355 y Fx(\))23 b Fy(W)2741
1367 y Fv(cv)r(o)2844 1355 y Fx(\()p Fy(k)s(;)14 b(q)s
Fx(\)])p Fw(g)23 b Fy(:)372 b FB(\(29\))118 1521 y(Prv)-5
b(a)30 b(dv)-5 b(a)31 b(\243lana)e(opisuju)i(me\236udjelo)n(v)-5
b(anje)30 b(v)-5 b(aletnih)31 b(\()p Fy(v)s FB(\))g(o)r(dnosno)f(v)n(o)
r(dljivih)g(\()p Fy(c)p FB(\))h(elektrona)e(s)i(akusti\243nim)118
1620 y(\()p Fy(a)p FB(\))24 b(i)f(opti\243)n(kim)f(\()p
Fy(o)p FB(\))i(fononima,)f(a)g(druga)e(dv)-5 b(a)23 b(\243lana)f
(opisuju)h(njiho)n(v)n(e)f(prijelaze)h(iz)f(v)n(o)r(dljiv)n(e)h(u)g(v)
-5 b(aletn)n(u)23 b(vrp)r(cu,)118 1720 y(o)r(dnosno)31
b(iz)g(v)-5 b(aletne)32 b(u)g(v)n(o)r(dljivu.)48 b(Prv)-5
b(a)32 b(dv)-5 b(a)31 b(\243lana)g(\020mje\262a)5 b(ju\021)38
b(elektrone)30 b(un)n(utar)h(istih)h(vrp)r(ci,)h(dok)e(druga)118
1819 y(dv)-5 b(a)28 b(\243lana)e(do)n(v)n(o)r(de)h(do)g(elektronsk)n
(og)e(mje\262anja)i(izme\236u)h(vrp)r(ci.)243 1919 y(Mjenjanjem)37
b(bro)5 b(ja)35 b(elektrona,)i(ra)n(vnote\272ni)d(p)r(olo\272a)5
b(ji)36 b(\243v)n(oro)n(v)-5 b(a)33 b(re\262etk)n(e)i(sistema)h
(vi\262e)g(ne)g(o)r(dgo)n(v)-5 b(ara)5 b(ju)118 2019
y(onima)29 b(za)g(nedopiran)n(u)f(re\262etku.)41 b(Re\262etk)-5
b(a)29 b(se)g(deformira)f(u)i(o)r(dnosu)e(na)h(njezino)h(dimerizirano)d
(stanje.)42 b(Svi)118 2118 y(elektroni,)35 b(i)f(v)-5
b(aletni)34 b(i)f(v)n(o)r(dljivi,)j(me\236udjeluju)f(s)e(tom)h
(deformacijom)f(prek)n(o)f(elektron-fonon)h(v)n(ezanja,)h(pa)118
2218 y(pronala\272enje)23 b(osno)n(vnog)g(stanja)h(takv)n(og)f(sistema)
h(zah)n(tjev)-5 b(a)24 b(direktno)g(uklju\243iv)-5 b(anje)26
b Fy(H)2936 2230 y Fv(d;int)3109 2218 y FB(u)f(hamiltonijan.)118
2318 y(U)j(slijede\242em)g(p)r(ogla)n(vlju)e(obratit)h(\242emo)g
(pa\272nju)h(na)f(sistem)h(s)f(jednim)i(dopiranim)e(elektronom.)118
2530 y Fz(5.3.2)94 b(Osno)m(vno)31 b(stanje)h(sistema)e(s)h(jednim)f
(dopiranim)g(elektronom)118 2684 y FB(U)40 b(dugo)n(v)-5
b(alno)5 b(j)37 b(granici,)k(za)d(re\262etku)h(gdje)g(je)g(energija)f
(dimerizacije)h(jak)-5 b(a,)42 b Fx(\001)2789 2645 y
Fv(<)2789 2684 y Fr(\030)g Fy(t)2913 2696 y Fq(0)2950
2684 y FB(,)h(matri\243ni)38 b(elemen)n(ti)118 2783 y(me\236udjelo)n(v)
-5 b(anja)20 b(elektrona)f(i)h(akusti\243nih)g(fonona,)h
Fy(W)1856 2795 y Fv(j)s(j)s(a)1959 2783 y FB(,)h(te\272e)e(n)n(uli)2303
2753 y Ft(34)2373 2783 y FB(,)i(k)-5 b(ao)20 b(i)g(matri\243ni)g
(elemen)n(ti)g(k)n(o)5 b(ji)20 b(do)n(v)n(o)r(de)118
2883 y(do)27 b(prijelaza)g(elektrona)f(iz)i(vrp)r(ce)f(u)h(vrp)r(cu,)f
Fy(W)1654 2895 y Fv(v)r(;c;j)1794 2883 y Fy(;)14 b(W)1909
2895 y Fv(c;v)r(;j)2049 2883 y FB(.)243 2983 y(Problem)34
b(tra\272enja)g(osno)n(vnog)e(stanja)j(sistema)f(k)n(o)5
b(jem)n(u)34 b(je)h(v)-5 b(aletna)34 b(vrp)r(ca)g(p)r(otpuno)h(p)r
(opunjena,)i(a)d(u)118 3082 y(v)n(o)r(dljiv)n(o)5 b(j)28
b(vrp)r(ci)h(imamo)g(samo)f(jedan)i(dopirani)e(elektron)g(s)h(malim)h
(v)-5 b(alnim)29 b(v)n(ektorom)e Fy(k)s FB(,)j(mo\272e)f(se)g(onda)f(u)
118 3182 y(sp)r(omen)n(utim)g(uvjetima)g(sv)n(esti)f(na)g
(pronala\272enje)f(osno)n(vnog)f(stanja)i(hamiltonijana)895
3448 y Fy(H)90 b Fx(=)1201 3369 y Fs(X)1243 3547 y Fv(k)1335
3448 y Fy(R)1398 3460 y Fv(k)1462 3448 y Fy(c)1498 3408
y Fr(y)1498 3473 y Fv(k)q(;c)1588 3448 y Fy(c)1624 3460
y Fv(k)q(;c)1733 3448 y Fx(+)1816 3369 y Fs(X)1860 3543
y Fv(q)1950 3448 y Fy(!)2002 3460 y Fv(q)r(;o)2114 3448
y Fy(b)2150 3413 y Fr(y)2150 3468 y Fv(q)r(;o)2238 3448
y Fy(b)2274 3460 y Fv(q)r(;o)1054 3688 y Fx(+)1302 3632
y Fy(\013)p 1211 3669 235 4 v 1211 3685 a Fs(p)p 1294
3685 152 4 v 71 x Fy(N)r(=)p Fx(2)1470 3609 y Fs(X)1486
3788 y Fv(k)q(;q)1604 3688 y Fy(W)1682 3700 y Fv(cco)1779
3688 y Fx(\()p Fy(k)s(;)14 b(q)s Fx(\))23 b Fy(c)2025
3648 y Fr(y)2025 3713 y Fv(k)q Fq(+)p Fv(q)r(;c)2199
3688 y Fy(c)2235 3700 y Fv(k)q(;c)2348 3688 y Fx(\()p
Fy(b)2416 3648 y Fr(y)2416 3708 y(\000)p Fv(q)r(;o)2575
3688 y Fx(+)18 b Fy(b)2694 3700 y Fv(q)r(;o)2783 3688
y Fx(\))46 b Fy(:)630 b FB(\(30\))118 3939 y Fy(R)181
3951 y Fv(k)261 3939 y FB(je)39 b(energija)f(elektrona)g(u)h(v)n(o)r
(dljiv)n(o)5 b(j)38 b(vrp)r(ci,)j Fy(!)1800 3951 y Fv(q)r(;o)1928
3939 y FB(energija)d(opti\243)n(k)n(og)f(fonona,)k(a)e
Fy(W)3058 3951 y Fv(cco)3193 3939 y FB(matri\243ni)g(ele-)118
4039 y(men)n(t)c(pridru\272en)f(njiho)n(v)n(om)f(me\236udjelo)n(v)-5
b(anju.)58 b(Hamiltonijan)35 b(opisuje)f(utjeca)5 b(j)35
b(dopiranog)e(elektrona)g(na)118 4138 y(dimeriziran)n(u)22
b(re\262etku,)h(k)n(o)5 b(ja)22 b(se)h(zb)r(og)f(njego)n(v)n(og)f
(prisustv)-5 b(a)22 b(deformira)g(u)h(o)r(dnosu)g(na)g(p)r(otpuno)g
(dimerizirano)118 4238 y(stanje.)48 b(T)-7 b(o)31 b(je)h(p)r
(oslijedica)f(elektron-fonon)f(me\236udjelo)n(v)-5 b(anja,)32
b Fy(W)2283 4250 y Fv(cco)2409 4238 y Fw(6)p Fx(=)d(0)p
FB(,)j(o)r(dnosno)f(opti\243)n(kih)g(fonona)f(k)n(o)5
b(ji)118 4338 y(su)28 b(se)f(v)n(ezali)f(uz)i(elektron.)243
4437 y(U)34 b(izrazu)e(\(30\))h(nije)i(te\262k)n(o)d(prep)r(oznati)h
(Holsteino)n(v)g(hamiltonijan.)55 b(Naime,)35 b(u)e(dugo)n(v)-5
b(alno)5 b(j)32 b(granici)3569 4407 y Ft(35)3638 4437
y FB(,)118 4537 y(supstituira)5 b(ju\242i)1536 4818 y
Fy(R)1599 4830 y Fv(k)q Fr(\031)p Fq(0)1808 4818 y Fw(\))1984
4762 y Fy(t)2014 4774 y Fq(0)p 1984 4799 68 4 v 1997
4875 a Fx(4)2061 4818 y(\()p Fy(t)2123 4830 y Fq(0)2161
4818 y Fy(=)p Fx(\001)18 b Fw(\000)g Fx(\001)p Fy(=t)2514
4830 y Fq(0)2551 4818 y Fx(\))46 b Fw(!)h Fy(J)1500 4990
y(!)1552 5002 y Fv(q)r Fq(=0)p Fv(;o)1817 4990 y Fx(=)1974
4915 y Fs(p)p 2057 4915 550 4 v 75 x Fx(2\()p Fy(K)2202
5002 y Fq(1)2257 4990 y Fx(+)18 b Fy(K)2411 5002 y Fq(2)2448
4990 y Fx(\))p Fy(=)-5 b(M)55 b Fw(!)46 b Fy(!)943 5127
y(\013)23 b(W)1097 5139 y Fv(c;c;o)1233 5127 y Fx(\()p
Fy(k)k Fx(=)22 b(0)p Fy(;)14 b(q)26 b Fx(=)c(0\))92 b(=)g(2)2016
5054 y Fw(p)p 2085 5054 42 4 v 73 x Fx(2)o Fy(\013)47
b Fw(!)f Fy(\025)24 b(;)1064 b FB(\(31\))118 5293 y(dobiv)-5
b(amo)32 b(upra)n(v)n(o)e(\(2\).)52 b(Primjetimo)33 b(jo\262)f(na)g
(kra)5 b(ju)31 b(da)h(v)-5 b(alna)32 b(funk)n(cija)g(elektrona)f(i)i
(deformacije)f(re\262etk)n(e)118 5392 y(pridru\272ena)27
b(k)n(onkretnim)f(vrijednostima)h Fy(J)o(;)14 b(!)s(;)g(\025)p
FB(,)28 b(mora)e(biti)j(k)n(onzistetna)d(dugo)n(v)-5
b(alno)5 b(j)26 b(aproksimaciji)g(k)n(o)5 b(ju)118 5492
y(smo)30 b(k)n(oristili,)h(o)r(dnosno)e(mora)h(biti)h(delok)-5
b(alizirana.)44 b(U)31 b(suprotnom)f(dobiv)n(eni)g(rezultati)g(MCM-a)g
(ne)h(bi)g(se)118 5592 y(mogli)c(k)n(oristiti)g(pri)g(analiziranju)f
(SSH)j(mo)r(dela.)p 118 5638 1418 4 v 180 5692 a Fp(33)245
5715 y Fo(Eksplicitni)23 b(izraz)i(za)f Fm(H)914 5727
y Fl(d;int)1053 5715 y Fo(,)f(o)r(dnosno)i Fm(W)1440
5725 y Fl(j)s(j)s(j)1529 5715 y Fo(,)e(izra\243unati)i(su)f(u)g(do)r
(datku)h(E.)180 5771 y Fp(34)245 5794 y Fo(Vidjeti)e(izraze)i(\(41\).)
180 5850 y Fp(35)245 5873 y Fo(Izrazi)g(u)f(\(31\))h(za)f
Fm(!)i Fo(i)d Fm(\025)g Fo(se)h(p)r(o)r(dudara)t(ju)h(s)f(onima)e
(dobiv)n(enima)i(u)f([22)q(].)p eop
%%Page: 38 38
38 37 bop 3578 -240 a FB(38)118 51 y Fz(5.3.3)94 b(Zaklju\243ak)118
204 y FB(T)-7 b(reba)28 b(ipak)h(naglasiti)f(da)g(paralela)g(izme\236u)
h(SSH)h(mo)r(dela)e(i)h(MCM-a)g(zah)n(tjev)-5 b(a)28
b(daljnju)i(teoretsku)e(analizu)118 303 y(s)g(obzirom)e(na)h
(aproksimacije)f(k)n(o)5 b(je)26 b(su)i(pri)f(izv)n(o)r(du)g(uv)n
(o\236ene.)243 403 y(S)c(druge)g(strane,)g(SSH)h(mo)r(del)f(je)h
(\243esto)f(u)g(literaturi)g(razmatran)e(u)i(adijabatsk)n(o)5
b(j)22 b(aproksimaciji)g(i)h(dugo)n(v-)118 503 y(alno)5
b(j)22 b(granici,)h(k)-5 b(ak)n(o)22 b(za)g(nedopirane)g(sisteme)h(tak)
n(o)f(i)h(za)f(dopirane.)35 b(U)23 b(o)n(v)n(om)e(smo)i(radu)f(p)r(ok)
-5 b(azali)22 b(da)h(te)g(dvije)118 602 y(aproksimacije)30
b(u)j(MCM-u)f(zah)n(tjev)-5 b(a)5 b(ju)31 b(dosta)h(o\262tra)e
(ograni\243enja)h(na)g(parametarski)f(prostor)g Fy(J)o(;)14
b(!)s(;)g(\025;)63 b FB(\262to)118 702 y(onda)26 b(mo\272e)g(biti)i
(slu\243a)5 b(j)26 b(i)h(u)g(SSH)g(modelu.)36 b(Stoga,)26
b(prou\243a)n(v)-5 b(a)5 b(ju\242i)25 b(MCM)i(i)g(njego)n(vu)f(v)n(ezu)
g(s)g(SSH)i(mo)r(delom,)118 802 y(mo\272e)33 b(se)h(izme\236u)g
(ostaloga)e(utvrditi)i(to)r(\243nost)f(k)n(ori\262tenih)g
(aproksimacija)e(i)j(dobiv)n(enih)g(rezultata)f(za)g(SSH)118
901 y(mo)r(del.)p eop
%%Page: 39 39
39 38 bop 3578 -240 a FB(39)p eop
%%Page: 40 40
40 39 bop 3578 -240 a FB(40)118 51 y FA(6)131 b(Zaklju\243ak)118
1414 y FB(T)-7 b(ra\272eno)36 b(je)h(osno)n(vno)e(stanje)i(Holsteino)n
(v)n(og)e(hamiltonijana)h(p)r(omo)r(\242u)h(raznih)f(aproksimativnih)g
(meto)r(da.)118 1513 y(Numeri\243)n(k)-5 b(a)32 b(meto)r(da)g(dala)g
(je)h(na)5 b(jb)r(olje)32 b(rezultate)g(u)h(usp)r(oredbi)f(s)g
(rezultatima)g(ra\243una)f(smetnje)i(za)f(slabu)118 1613
y(v)n(ezu,)c(adijabatsk)n(e)f(aproksimacije)f(i)j(v)-5
b(arijacionih)27 b(meto)r(da)h(s)g(jednim,)h(dv)-5 b(a)28
b(i)g(tri)g(v)-5 b(arijaciona)27 b(parametra,)f(u)118
1712 y(p)r(o)r(dru\243ju)32 b(parametarsk)n(og)d(prostora)g(za)j(k)n(o)
5 b(ji)31 b(vrijedi)h Fy(J)o(;)14 b(\025)2075 1673 y
Fv(<)2075 1712 y Fr(\030)30 b Fx(25)f Fy(!)s FB(.)50
b(Za)31 b(v)n(e\242e)g Fy(J)o(;)14 b(\025;)33 b FB(zb)r(og)e(v)n
(elikih)g(memori-)118 1812 y(jskih)g(zah)n(tjev)-5 b(a)30
b(na)g(ra\243unalo)e(n)n(umeri\243)n(k)n(e)h(meto)r(de)i(pri)f(analizi)
g(p)r(olarona)e(s)i(v)n(e\242im)g(bro)5 b(jem)30 b(fonona)f(i)i(v)n
(e\242im)118 1912 y(efektivnim)c(protezanjem)g(nije)g(dala)f(dobre)g
(rezultate.)36 b(T)-7 b(u)27 b(se)g(na)5 b(jb)r(oljom)26
b(p)r(ok)-5 b(azala)26 b(VV)h(v)-5 b(arijaciona)25 b(v)-5
b(alna)118 2011 y(funk)n(cija,)28 b(s)f(iznimk)n(om)g(p)r(o)r
(dru\243ja)h Fy(!)d Fw(\034)e Fy(\025)h Fw(\034)f Fy(J)36
b FB(gdje)27 b(je)h(to)g(adijabatsk)-5 b(a)26 b(aproksimacija.)243
2111 y(Zatim)40 b(je)h(diskutirana)f(mogu\242nost)g(primjene)h
(molekularno-kristalnog)c(mo)r(dela)j(na)h(problem)f(dopi-)118
2211 y(ranog)26 b(elektrona)g(u)i(v)n(o)r(dljiv)n(o)5
b(j)26 b(vrp)r(ci)i(sistema)f(opisanog)f(SSH)i(mo)r(delom.)36
b(P)n(ok)-5 b(azalo)26 b(se)i(da)f(bi)h(u)g(o)r(dre\236enim)118
2310 y(uvijetima)g(rezultati)f(o)n(vih)g(dv)-5 b(a)5
b(ju)28 b(mo)r(dela)f(mogli)g(me\236usobno)g(k)n(oresp)r(ondirati.)p
eop
%%Page: 41 41
41 40 bop 3578 -240 a FB(41)p eop
%%Page: 42 42
42 41 bop 3578 -240 a FB(42)118 51 y FA(7)131 b(Do)t(daci)118
249 y Fu(7.1)112 b(Do)s(datak)39 b(A)118 402 y FB(\232elimo)27
b(izra\243unati)g(izraz)1263 537 y Fy(I)1299 549 y Fq(1)1336
537 y Fx(\(\001\))d(=)f(1)p Fy(=)-5 b(N)1772 458 y Fs(X)1816
632 y Fv(q)2068 480 y Fy(e)2107 450 y Fr(\000)p Fv(iq)r(a)p
Fq(\001)p 1916 517 546 4 v 1916 594 a Fy(E)1977 606 y
Fv(k)2036 594 y Fw(\000)18 b Fy(!)j Fw(\000)d Fy(E)2336
606 y Fv(k)q Fq(+)p Fv(q)2494 537 y Fy(;)118 747 y FB(gdje)28
b Fy(q)i FB(ide)e(p)r(o)g(prv)n(o)5 b(j)26 b(Brillouino)n(v)n(o)5
b(j)25 b(zoni,)i(a)g Fy(E)1659 759 y Fv(k)1724 747 y
Fx(=)22 b(2)p Fy(J)g Fx(cos)13 b Fy(k)s FB(.)36 b(K)n(oristit)27
b(\242emo)g(slijede\242e)g(supstitucije)1560 995 y Fy(L)91
b Fx(=)h Fy(N)9 b(a)23 b Fx(=)f(1)1328 1164 y(1)p Fy(=)-5
b(N)1496 1085 y Fs(X)1540 1260 y Fv(q)1699 1164 y Fw(!)83
b Fy(a=)p Fx(2)p Fy(\031)s(L)2114 1051 y Fs(Z)2196 1072
y Fv(\031)r(=a)2159 1240 y Fr(\000)p Fv(\031)r(=a)2340
1164 y Fy(dq)1580 1375 y(b)92 b Fx(=)g Fw(\000)14 b Fx(cos)f
Fy(k)s(a)18 b Fw(\000)g Fy(!)s(=)p Fx(2)p Fy(J)1550 1499
y(Q)92 b Fx(=)g Fy(k)21 b Fx(+)d Fy(q)1574 1624 y(z)95
b Fx(=)d Fy(e)1904 1590 y Fv(iQa)2043 1624 y Fy(:)118
1772 y FB(T)-7 b(ak)n(o)26 b(za)h Fx(\001)d Fy(<)e Fx(0)p
FB(,)27 b(imamo)703 2065 y Fy(I)739 2077 y Fq(1)777 2065
y Fx(\(\001)d Fy(<)e Fx(0\))83 b(=)1356 2009 y Fy(a)p
1304 2046 149 4 v 1304 2122 a Fx(2)p Fy(\031)s(L)1522
2009 y Fx(1)p 1495 2046 96 4 v 1495 2122 a(2)p Fy(J)1614
1952 y Fs(Z)1697 1973 y Fv(\031)r(=a)1660 2141 y Fr(\000)p
Fv(\031)r(=a)1841 2065 y Fy(dq)2397 2009 y(e)2436 1979
y Fv(iq)r(a)p Fr(j)p Fq(\001)p Fr(j)p 1958 2046 1109
4 v 1958 2122 a Fw(\000)14 b Fx(cos)e Fy(k)s(a)18 b Fw(\000)g
Fy(!)s(=)p Fx(2)p Fy(J)25 b Fx(+)18 b(cos)13 b(\()p Fy(k)22
b Fx(+)c Fy(q)s Fx(\))p Fy(a)1146 2325 y Fx(=)1355 2269
y Fy(a)p 1304 2306 146 4 v 1304 2382 a Fx(4)p Fy(J)8
b(\031)1483 2325 y(e)1522 2290 y Fr(\000)p Fv(ik)q(a)p
Fr(j)p Fq(\001)p Fr(j)1781 2212 y Fs(Z)1864 2232 y Fv(\031)r(=a)p
Fq(+)p Fv(k)1827 2400 y Fr(\000)p Fv(\031)r(=a)p Fq(+)p
Fv(k)2096 2325 y Fy(dQ)2299 2269 y(e)2338 2238 y Fv(iQa)p
Fr(j)p Fq(\001)p Fr(j)p 2238 2306 372 4 v 2238 2382 a
Fx(cos)13 b Fy(Qa)18 b Fx(+)g Fy(b)1146 2578 y Fx(=)1356
2522 y(1)p 1304 2559 146 4 v 1304 2635 a(4)p Fy(J)8 b(\031)1483
2578 y(e)1522 2544 y Fr(\000)p Fv(ik)q(a)p Fr(j)p Fq(\001)p
Fr(j)1781 2465 y Fs(I)1827 2654 y Fr(j)p Fv(z)r Fr(j)p
Fq(=1)2003 2578 y Fy(dz)2194 2522 y Fw(\000)p Fx(2)p
Fy(i)22 b(z)2395 2492 y Fr(j)p Fq(\001)p Fr(j)p 2121
2559 444 4 v 2121 2635 a Fy(z)2164 2611 y Fq(2)2219 2635
y Fx(+)c(2)p Fy(bz)j Fx(+)d(1)1146 2831 y(=)1330 2775
y Fw(\000)p Fy(i)p 1304 2812 146 4 v 1304 2888 a Fx(2)p
Fy(J)8 b(\031)1483 2831 y(e)1522 2797 y Fr(\000)p Fv(ik)q(a)p
Fr(j)p Fq(\001)p Fr(j)1781 2718 y Fs(I)1827 2907 y Fr(j)p
Fv(z)r Fr(j)p Fq(=1)2003 2831 y Fy(dz)2335 2775 y(z)2378
2745 y Fr(j)p Fq(\001)p Fr(j)p 2121 2812 569 4 v 2121
2888 a Fx(\()p Fy(z)22 b Fw(\000)d Fy(z)2337 2900 y Fq(1)2373
2888 y Fx(\)\()p Fy(z)k Fw(\000)18 b Fy(z)2621 2900 y
Fq(2)2658 2888 y Fx(\))2723 2831 y Fy(;)118 3054 y FB(gdje)29
b(je)h Fy(z)428 3066 y Fq(1)p Fv(;)p Fq(2)543 3054 y
Fx(=)25 b Fw(\000)p Fy(b)19 b Fw(\006)837 2985 y(p)p
906 2985 216 4 v 69 x Fy(b)942 3030 y Fq(2)997 3054 y
Fw(\000)f Fx(1)p FB(.)41 b(K)n(oriste\242i)27 b(uvjet)j(\(6\))f
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r(e)h(uvijek)118 3154 y Fy(z)157 3166 y Fq(2)217 3154
y Fy(<)23 b Fx(1)p FB(,)k(a)g Fy(z)505 3166 y Fq(1)565
3154 y Fy(>)c Fx(1)p FB(.)36 b(T)-7 b(ada)27 b(prek)n(o)f(teorema)g
(residu\342)h(dobiv)-5 b(amo)461 3422 y Fy(I)497 3434
y Fq(1)534 3422 y Fx(\(\001)24 b Fy(<)f Fx(0\))82 b(=)1087
3366 y Fw(\000)p Fy(i)p 1061 3403 146 4 v 1061 3479 a
Fx(2)p Fy(J)8 b(\031)1240 3422 y(e)1279 3387 y Fr(\000)p
Fv(ik)q(a)p Fr(j)p Fq(\001)p Fr(j)1566 3422 y Fw(\001)42
b Fx(2)p Fy(\031)s(i)f Fw(\001)g Fy(R)q(es)p Fx([)p Fy(f)9
b Fx(\()p Fy(z)t Fx(\)])2202 3434 y Fv(z)r Fq(=)p Fv(z)2319
3442 y Fg(2)903 3644 y Fx(=)1067 3588 y(1)p 1061 3625
55 4 v 1061 3701 a Fy(J)1148 3644 y(e)1187 3610 y Fr(\000)p
Fv(ik)q(a)p Fr(j)p Fq(\001)p Fr(j)1451 3644 y Fw(\001)1526
3588 y Fx(\()p Fw(\000)p Fy(b)18 b Fw(\000)1760 3518
y(p)p 1829 3518 216 4 v 70 x Fy(b)1865 3564 y Fq(2)1920
3588 y Fw(\000)g Fx(1\))2077 3558 y Fr(j)p Fq(\001)p
Fr(j)p 1526 3625 650 4 v 1655 3711 a Fw(\000)p Fx(2)1762
3641 y Fw(p)p 1830 3641 216 4 v 1830 3711 a Fy(b)1866
3687 y Fq(2)1922 3711 y Fw(\000)g Fx(1)903 3890 y(=)83
b Fw(\000)1153 3833 y Fx(1)p 1126 3870 96 4 v 1126 3947
a(2)p Fy(J)1254 3890 y(e)1293 3855 y Fr(\000)p Fv(ik)q(a)p
Fr(j)p Fq(\001)p Fr(j)1580 3890 y Fw(\001)1655 3832 y
Fx(\(cos)13 b Fy(k)s(a)18 b Fx(+)g Fy(!)s(=)p Fx(2)p
Fy(J)26 b Fw(\000)2297 3761 y Fs(p)p 2380 3761 753 4
v 71 x Fx(\(cos)13 b Fy(k)s(a)18 b Fx(+)g Fy(!)s(=)p
Fx(2)p Fy(J)8 b Fx(\))2953 3808 y Fq(2)3008 3832 y Fw(\000)18
b Fx(1)o(\))3164 3802 y Fr(j)p Fq(\001)p Fr(j)p 1655
3870 1608 4 v 2041 3887 a Fs(p)p 2124 3887 753 4 v 71
x Fx(\(cos)13 b Fy(k)s(a)19 b Fx(+)f Fy(!)s(=)p Fx(2)p
Fy(J)8 b Fx(\))2698 3934 y Fq(2)2752 3958 y Fw(\000)18
b Fx(1)3296 3890 y Fy(:)118 4115 y FB(\222to)28 b(se)f(ti\243e)h
(slu\243a)5 b(ja)26 b(k)-5 b(ada)27 b(je)h Fx(\001)c
Fy(>)f Fx(0)p FB(,)k(lak)n(o)f(se)i(uvjeriti,)f(k)n(oriste\242i)g(u)g
(gornjim)g(izrazima)g(zamjen)n(u)g Fy(Q)c Fw(!)g(\000)p
Fy(Q)p FB(,)118 4214 y(da)k(vrijedi)966 4503 y Fy(I)1002
4515 y Fq(1)1040 4503 y Fx(\(\001)c Fy(>)g Fx(0\))83
b(=)f Fw(\000)1658 4447 y Fx(1)p 1631 4484 96 4 v 1631
4560 a(2)p Fy(J)1759 4503 y(e)1798 4469 y Fv(ik)q(a)p
Fr(j)p Fq(\001)p Fr(j)2034 4503 y Fw(\001)2108 4447 y
Fx(\()p Fw(\000)p Fy(b)18 b Fw(\000)2342 4378 y(p)p 2411
4378 216 4 v 69 x Fy(b)2447 4423 y Fq(2)2503 4447 y Fw(\000)g
Fx(1)o(\))2659 4417 y Fr(j)p Fq(\001)p Fr(j)p 2108 4484
650 4 v 2237 4570 a Fw(\000)p Fx(2)2344 4500 y Fw(p)p
2413 4500 216 4 v 70 x Fy(b)2449 4546 y Fq(2)2504 4570
y Fw(\000)g Fx(1)2791 4503 y Fy(:)118 4695 y FB(Stoga,)27
b(mo\272emo)g(pisati)582 4987 y Fy(I)618 4999 y Fq(1)656
4987 y Fx(\(\001\))84 b(=)f Fw(\000)1122 4930 y Fx(1)p
1096 4968 96 4 v 1096 5044 a(2)p Fy(J)1224 4987 y(e)1263
4952 y Fv(ik)q(a)p Fq(\001)1459 4987 y Fw(\001)1533 4929
y Fx(\(cos)14 b Fy(k)s(a)k Fx(+)g Fy(!)s(=)p Fx(2)p Fy(J)25
b Fw(\000)2175 4858 y Fs(p)p 2258 4858 753 4 v 71 x Fx(\(cos)13
b Fy(k)s(a)18 b Fx(+)g Fy(!)s(=)p Fx(2)p Fy(J)8 b Fx(\))2831
4905 y Fq(2)2886 4929 y Fw(\000)18 b Fx(1\))3043 4899
y Fr(j)p Fq(\001)p Fr(j)p 1533 4968 1608 4 v 1919 4984
a Fs(p)p 2002 4984 753 4 v 71 x Fx(\(cos)c Fy(k)s(a)k
Fx(+)g Fy(!)s(=)p Fx(2)p Fy(J)8 b Fx(\))2576 5031 y Fq(2)2630
5055 y Fw(\000)18 b Fx(1)3174 4987 y Fy(:)118 5268 y
Fu(7.2)112 b(Do)s(datak)39 b(B:)e(K)m(oheren)m(tna)g(stanja)118
5421 y Fz(7.2.1)94 b(Uv)m(o)s(d)118 5574 y FB(U)29 b(o)n(v)n(om)e(do)r
(datku)i(p)r(oku\262at)f(\242emo)g(ukratk)n(o)f(izlo\272iti)i
(formalizam)e(i)i(sv)n(o)5 b(jstv)-5 b(a)27 b(k)n(oheren)n(tnih)h
(stanja.)39 b(Naime,)118 5674 y(op)r(erator)28 b Fy(S)506
5686 y Fv(j)541 5674 y Fx(\()p Fy(\030)t Fx(\))p FB(,)j(k)n(o)5
b(ji)29 b(je)h(pridru\272en)g(nek)n(om)f(k)n(oheren)n(tnom)f(stanju)i
Fy(\030)t FB(,)h(\243esto)e(se)g(k)n(oristi)g(un)n(utar)g(o)n(v)n(og)f
(rada.)118 5773 y(Kada)d(je)h(tome)f(slu\243a)5 b(j,)26
b(sv)n(o)5 b(jstv)-5 b(a)24 b(k)n(oheren)n(tnih)h(stanja)g(prenose)f
(se)i(na)f(sv)n(o)5 b(jstv)-5 b(a)24 b(dobiv)n(enih)i(rezultata,)f(pa)g
(ih)118 5873 y(se)i(\243ini)h(zgo)r(dnim)g(skupiti)f(i)h
(obrazlo\272iti)e(na)h(jednom)h(mjestu.)p eop
%%Page: 43 43
43 42 bop 3578 -240 a FB(43)118 51 y Fz(7.2.2)94 b(K)m(oheren)m(tna)32
b(stanja)118 204 y FB(S)h(v)-5 b(alnom)33 b(funk)n(cijom)g(harmoni\243)
n(k)n(og)d(oscilatora)h(standardno)h(se)g(opisuje)h(titranje)g(mase)g
(aso)r(cirane)e(\243v)n(oru)118 303 y(re\262etk)n(e.)44
b(Ak)n(o)30 b(na)g(masu)g(aso)r(ciran)n(u)e(nek)n(om)i(\243v)n(oru,)f
(recimo)h Fy(j)5 b FB(,)31 b(djeluje)g(k)n(onstatna)e(v)-5
b(anjsk)g(a)30 b(sila)g Fy(F)12 b FB(,)31 b(njo)5 b(j)30
b(je)118 403 y(pridru\272en)d(hamiltonijan)1152 680 y
Fy(H)1221 692 y Fv(j)1339 680 y Fx(=)1497 624 y(1)p 1497
661 42 4 v 1497 737 a(2)1571 680 y Fy(M)c Fx(_)-37 b
Fy(x)1708 646 y Fq(2)1708 701 y Fv(j)1764 680 y Fx(+)1857
624 y(1)p 1857 661 V 1857 737 a(2)1931 680 y Fy(K)2002
692 y Fv(r)2062 680 y Fy(x)2109 646 y Fq(2)2109 701 y
Fv(j)2165 680 y Fw(\000)18 b Fy(F)35 b(x)2383 692 y Fv(j)2437
680 y Fw(\000)2530 624 y Fx(1)p 2530 661 V 2530 737 a(2)2604
680 y Fy(:)887 b FB(\(32\))118 867 y(Supstituira)5 b(ju\242i)28
b(u)f(\(32\))1421 1181 y Fy(x)1468 1193 y Fv(j)1586 1181
y Fx(=)1734 1049 y Fs(r)p 1817 1049 165 4 v 1875 1125
a Fx(\026)-42 b Fy(h)p 1827 1162 145 4 v 1827 1238 a(M)9
b(!)2037 1114 y(b)2073 1074 y Fr(y)2073 1137 y Fv(j)2126
1114 y Fx(+)18 b Fy(b)2245 1126 y Fv(j)p 2037 1162 243
4 v 2103 1179 a Fw(p)p 2172 1179 42 4 v 68 x Fx(2)1435
1439 y(_)-37 b Fy(x)1468 1451 y Fv(j)1586 1439 y Fx(=)83
b Fw(\000)1799 1306 y Fs(r)p 1881 1306 123 4 v 1891 1382
a Fx(\026)-42 b Fy(h!)p 1891 1419 103 4 v 1897 1496 a(M)2060
1372 y(b)2096 1332 y Fr(y)2096 1395 y Fv(j)2149 1372
y Fw(\000)18 b Fy(b)2268 1384 y Fv(j)p 2060 1419 243
4 v 2112 1505 a Fy(i)2141 1436 y Fw(p)p 2209 1436 42
4 v 2209 1505 a Fx(2)2336 1439 y Fy(;)118 1661 y FB(gdje)28
b(je)g Fy(!)d Fx(=)551 1590 y Fs(p)p 634 1590 234 4 v
71 x Fy(K)705 1673 y Fv(r)741 1661 y Fy(=)-5 b(M)9 b
FB(,)27 b(dobiv)-5 b(amo,)27 b(uz)h Fx(\026)-42 b Fy(h)23
b Fx(=)f(1)p FB(,)1373 1920 y Fy(H)1442 1932 y Fv(j)1560
1920 y Fx(=)82 b Fy(!)26 b(b)1821 1880 y Fr(y)1821 1943
y Fv(j)1856 1920 y Fy(b)1892 1932 y Fv(j)1945 1920 y
Fx(+)18 b Fy(\025)23 b Fx(\()p Fy(b)2167 1880 y Fr(y)2167
1943 y Fv(j)2221 1920 y Fx(+)18 b Fy(b)2340 1932 y Fv(j)2374
1920 y Fx(\))1428 2100 y Fy(\025)84 b Fx(=)e Fw(\000)1877
2044 y Fy(F)p 1782 2081 255 4 v 1782 2098 a Fw(p)p 1851
2098 186 4 v 70 x Fx(2)p Fy(M)9 b(!)2070 2100 y(:)243
2307 y(H)312 2319 y Fv(j)374 2307 y FB(mo\272emo)27 b(dijagonalizirati)
f(p)r(omo)r(\242u)h(op)r(eratora)f Fy(S)2008 2319 y Fv(j)2043
2307 y Fx(\()p Fw(\000)p Fy(\025=!)s Fx(\))p FB(,)h([23)o(],)1207
2566 y Fy(S)1258 2578 y Fv(j)1293 2566 y Fx(\()p Fy(\030)t
Fx(\))d(=)f Fy(e)1548 2528 y Fv(\030)d(b)1627 2500 y
Fi(y)1627 2549 y Fh(j)1659 2528 y Fr(\000)p Fv(\030)1743
2503 y Fi(\003)1797 2528 y Fv(b)1826 2536 y Fh(j)2000
2566 y Fy(;)152 b(\030)27 b Fx(=)c Fw(\000)p Fy(\025=!)1078
2746 y(S)1134 2707 y Fr(y)1129 2770 y Fv(j)1169 2746
y Fx(\()p Fw(\000)p Fy(\025=!)s Fx(\))g Fy(H)1535 2758
y Fv(j)1593 2746 y Fy(S)1644 2758 y Fv(j)1678 2746 y
Fx(\()p Fw(\000)p Fy(\025=!)s Fx(\))g(=)g Fy(!)j(b)2177
2707 y Fr(y)2177 2770 y Fv(j)2211 2746 y Fy(b)2247 2758
y Fv(j)2300 2746 y Fw(\000)2393 2690 y Fy(\025)2441 2660
y Fq(2)p 2393 2727 86 4 v 2409 2803 a Fy(!)2512 2746
y(:)243 2928 y FB(Osno)n(vno)f(stanje)j Fy(H)896 2940
y Fv(j)959 2928 y FB(o)r(dgo)n(v)-5 b(ara)25 b(de\034niciji)j(k)n
(oheren)n(tnog)d(stanja)i(i)h(dano)f(je)h(s)1318 3127
y Fy(S)1369 3139 y Fv(j)1404 3127 y Fx(\()p Fy(\030)t
Fx(\))c Fw(j)f Fx(0)f Fy(>)1707 3139 y Fv(j)1742 3127
y Fx(=)g Fy(e)1868 3090 y Fv(\030)f(b)1948 3061 y Fi(y)1948
3110 y Fh(j)1980 3090 y Fr(\000)p Fv(\030)2064 3064 y
Fi(\003)2118 3090 y Fv(b)2147 3098 y Fh(j)2205 3127 y
Fw(j)i Fx(0)g Fy(>)2381 3139 y Fv(j)2439 3127 y Fy(;)1052
b FB(\(33\))118 3263 y(gdje)35 b(je)g Fw(j)g Fx(0)f Fy(>)599
3275 y Fv(j)669 3263 y FB(v)-5 b(alna)34 b(funk)n(cija)h(harmoni\243)n
(k)n(og)d(oscilatora)g(u)j(osno)n(vnom)e(stanju,)k(na)d(\243v)n(oru)g
Fy(j)5 b FB(,)36 b(u)f(osustvu)118 3362 y(v)-5 b(anjsk)n(e)31
b(sile.)47 b(V)-7 b(alna)31 b(funk)n(cija)h(\(33\))e(opisuje)i
(titranje)f(nep)r(obu\236enog)f(harmoni\243)n(k)n(og)f(oscilatora)g(ok)
n(o)h(no)n(v)n(og)118 3462 y(p)r(olo\272a)5 b(ja)26 b(ra)n(vnote\272e)g
Fy(x)871 3474 y Fv(\025)915 3462 y FB(,)i(za)f(k)n(o)5
b(ji)26 b(vrijedi)1378 3707 y Fy(x)1425 3719 y Fv(\025)1492
3707 y Fx(=)c Fw(\000)p Fy(\025=!)1789 3576 y Fs(r)p
1872 3576 165 4 v 1933 3651 a Fx(2)p 1882 3688 145 4
v 1882 3764 a Fy(M)9 b(!)2059 3707 y Fx(=)23 b Fy(F)7
b(=K)2320 3719 y Fv(r)2379 3707 y Fy(:)1112 b FB(\(34\))118
3879 y(Iz)33 b(toga)f(se)h(mo\272e)f(zaklju\243iti)h(da)g(op)r(erator)e
Fy(S)1605 3891 y Fv(j)1640 3879 y Fx(\()p Fw(\000)p Fy(\025=!)s
Fx(\))i FB(tek)g(prostorno)e(translatira)g(v)-5 b(aln)n(u)33
b(funk)n(ciju)h(za)e Fy(x)3594 3891 y Fv(\025)3638 3879
y FB(.)118 3989 y(Naime)c(ak)n(o)e(s)34 b Fx(^)-49 b
Fy(p)633 4001 y Fv(j)696 3989 y FB(ozna\243imo)26 b(op)r(erator)g
(impulsa)h(fonona,)g(a)g(s)2143 3968 y Fx(^)2126 3989
y Fy(T)2175 4001 y Fv(j)2210 3989 y Fx(\()p Fy(x)p Fx(\))i
FB(op)r(erator)c(translacije,)i(imamo)1533 4295 y Fx(^)-49
b Fy(p)1568 4307 y Fv(j)1685 4295 y Fx(=)83 b Fy(i)1862
4163 y Fs(r)p 1945 4163 165 4 v 1955 4239 a Fy(M)9 b(!)p
1955 4276 145 4 v 2006 4352 a Fx(2)2109 4295 y(\()p Fy(b)2177
4255 y Fr(y)2177 4318 y Fv(j)2230 4295 y Fw(\000)18 b
Fy(b)2349 4307 y Fv(j)2384 4295 y Fx(\))1380 4450 y(^)1363
4471 y Fy(T)1412 4483 y Fv(j)1447 4471 y Fx(\()p Fy(x)1526
4483 y Fv(\025)1570 4471 y Fx(\))83 b(=)g Fy(e)1872 4437
y Fr(\000)p Fv(i)19 b(x)2004 4446 y Fh(\025)2068 4437
y Fq(^)-39 b Fv(p)2096 4445 y Fh(j)1685 4623 y Fx(=)83
b Fy(e)1872 4585 y Fr(\000)1935 4562 y Fh(\025)p 1934
4571 39 4 v 1934 4605 a(!)1982 4585 y Fq(\()p Fv(b)2037
4557 y Fi(y)2037 4606 y Fh(j)2069 4585 y Fr(\000)p Fv(b)2150
4593 y Fh(j)2181 4585 y Fq(\))1685 4747 y Fx(=)g Fy(S)1884
4759 y Fv(j)1919 4747 y Fx(\()p Fw(\000)p Fy(\025=!)s
Fx(\))23 b Fy(:)118 4906 y FB(Stoga,)k(\243injenica)g(da)h(je)f(gusto)r
(\242a)g(vjero)5 b(jatnosti)26 b(harmoni\243)n(k)n(og)f(oscilatora)g(u)
j(osno)n(vnom)e(stanju)1547 5081 y Fy(\045)p Fx(\()p
Fy(x)p Fx(\))e(=)1790 5093 y Fv(j)1824 5081 y Fy(<)f
Fx(0)f Fw(j)i Fx(0)e Fy(>)2152 5093 y Fv(j)2210 5081
y Fy(;)118 5240 y FB(gaussijan)k(ok)n(o)h(isho)r(di\262ta,)g(p)r(o)n
(vla\242i)f(za)h(sob)r(om)g(da)h(je)g(ona)e(gaussijan)h(i)g(za)g(k)n
(oheren)n(tno)f(stanje)1434 5415 y Fy(S)1485 5427 y Fv(j)1520
5415 y Fx(\()p Fy(\030)t Fx(\))1624 5381 y Fr(y)1688
5415 y Fx(^)-47 b Fy(x)23 b(S)5 b Fx(\()p Fy(\030)t Fx(\))1913
5427 y Fv(j)1972 5415 y Fx(=)27 b(^)-47 b Fy(x)19 b Fw(\000)f
Fy(x)2255 5427 y Fv(\025)2322 5415 y Fy(:)118 5574 y
FB(Ak)n(o)27 b(je)h(dakle)f(titranje)g(mase)g(nek)n(og)f(\243v)n(ora)g
(re\262etk)n(e)g Fy(j)33 b FB(dano)27 b(k)n(oheren)n(tnim)f(stanjem)i
Fy(S)2949 5586 y Fv(j)2984 5574 y Fx(\()p Fw(\000)p Fy(\025=!)s
Fx(\))p FB(,)f(re\262etk)-5 b(a)27 b(\242e)118 5674 y(u)i(prosjeku)f
(biti)i(na)f(tom)g(\243v)n(oru)e(deformirana)h(za)g Fy(x)1817
5686 y Fv(\025)1861 5674 y FB(.)41 b(Gusto)r(\242a)29
b(vjero)5 b(jatnosti)27 b(pronala\272enja)g(mase)i(ok)n(o)e(te)118
5773 y(srednje)h(vrijednosti)h(bit)g(\242e)f(gaussijan)g(sa)g
(sredi\262tem)g(u)g(njo)5 b(j.)40 b(Zb)r(og)28 b(o)n(v)n(og)f(zadnjeg)h
(sv)n(o)5 b(jstv)-5 b(a)27 b(k)-5 b(a\272emo)28 b(da)g(je)118
5873 y(deformacija)f(dana)g(k)n(oheren)n(tnim)f(stanjem)i(gausijansk)-5
b(a.)p eop
%%Page: 44 44
44 43 bop 3578 -240 a FB(44)118 51 y Fz(7.2.3)94 b(Neki)31
b(k)m(orisni)g(izrazi)118 204 y FB(F)-7 b(ormalno,)31
b(k)n(oheren)n(tno)f(stanje)i(mo\272e)f(se)g(de\034nirati)g(i)h(k)-5
b(ao)31 b(sv)n(o)5 b(jstv)n(eno)29 b(stanje)j(op)r(eratora)d(p)r
(oni\262ta)n(v)-5 b(anja)31 b Fy(b)p FB(.)118 303 y(Naime,)d(k)n
(oriste\242i)e(prvu)h(o)r(d)h(donjih)g(dviju)g(jednak)n(osti,)1368
586 y Fy(S)1424 546 y Fr(y)1419 609 y Fv(j)1458 586 y
Fx(\()p Fy(\030)t Fx(\))c Fy(b)1622 598 y Fv(j)1680 586
y Fy(S)1731 598 y Fv(j)1766 586 y Fx(\()p Fy(\030)t Fx(\))83
b(=)g Fy(b)2137 598 y Fv(j)2190 586 y Fx(+)18 b Fy(\030)1368
734 y(S)1424 694 y Fr(y)1419 757 y Fv(j)1458 734 y Fx(\()p
Fy(\030)t Fx(\))24 b Fy(b)1622 694 y Fr(y)1622 757 y
Fv(j)1680 734 y Fy(S)1731 746 y Fv(j)1766 734 y Fx(\()p
Fy(\030)t Fx(\))83 b(=)g Fy(b)2137 694 y Fr(y)2137 757
y Fv(j)2190 734 y Fx(+)18 b Fy(\030)2313 699 y Fr(\003)2375
734 y Fy(;)118 1041 y FB(lak)n(o)26 b(je)i(p)r(ok)-5
b(azati)27 b(da)h(vrijedi)1404 1240 y Fy(b)1440 1252
y Fv(j)1498 1240 y Fy(S)1549 1252 y Fv(j)1584 1240 y
Fx(\()p Fy(\030)t Fx(\))c Fw(j)f Fx(0)f Fy(>)1887 1252
y Fv(j)1922 1240 y Fx(=)h Fy(\030)50 b Fw(j)23 b Fx(0)f
Fy(>)2271 1252 y Fv(j)2352 1240 y Fy(:)243 1422 y FB(K)n(oriste\242i)j
(relacije)1444 1621 y Fy(e)1500 1572 y Fq(^)1483 1587
y Fv(A)p Fq(+)1599 1572 y(^)1584 1587 y Fv(B)1664 1621
y Fx(=)e Fy(e)1808 1572 y Fq(^)1791 1587 y Fv(A)1867
1621 y Fy(e)1921 1572 y Fq(^)1906 1587 y Fv(B)1986 1621
y Fy(e)2025 1587 y Fr(\000)2087 1564 y Fg(1)p 2087 1573
29 4 v 2087 1607 a(2)2125 1587 y Fq([)2161 1572 y(^)2144
1587 y Fv(A;)2229 1572 y Fq(^)2214 1587 y Fv(B)r Fq(])2312
1621 y Fy(;)118 1804 y FB(gdje)28 b(su)424 1783 y Fx(^)402
1804 y Fy(A)g FB(i)563 1783 y Fx(^)543 1804 y Fy(B)k
FB(bilo)27 b(k)-5 b(akv)g(a)27 b(dv)-5 b(a)27 b(op)r(eratora,)f(a)h
Fx([)1700 1783 y(^)1678 1804 y Fy(A;)1797 1783 y Fx(^)1777
1804 y Fy(B)t Fx(])h FB(njiho)n(v)f(k)n(om)n(utator,)f(mo\272emo)h
(pisati)1391 2007 y Fy(S)1442 2019 y Fv(j)1477 2007 y
Fx(\()p Fy(\030)t Fx(\))c(=)g Fy(e)1731 1973 y Fr(\000)1792
1951 y Fg(1)p 1792 1960 V 1792 1993 a(2)1831 1973 y Fr(j)p
Fv(\030)r Fr(j)1903 1948 y Fg(2)1962 2007 y Fy(e)2001
1969 y Fv(\030)r(b)2062 1941 y Fi(y)2062 1990 y Fh(j)2121
2007 y Fy(e)2160 1973 y Fr(\000)p Fv(\030)2244 1948 y
Fi(\003)2278 1973 y Fv(b)2307 1981 y Fh(j)2366 2007 y
Fy(:)118 2190 y FB(Gornji)i(izraz)g(nam)g(sada)g(pak)g(mo\272e)g(p)r
(oslu\272iti)h(da)f Fy(S)1808 2202 y Fv(j)1843 2190 y
Fx(\()p Fy(\030)t Fx(\))f Fw(j)f Fx(0)g Fy(>)2147 2202
y Fv(j)2207 2190 y FB(izrazimo)h(na)h(na\243in)h(p)r(ogo)r(dan)e(za)h
(ra\243unanje)1094 2472 y Fy(S)1145 2484 y Fv(j)1180
2472 y Fx(\()p Fy(\030)t Fx(\))f Fw(j)f Fx(0)f Fy(>)1483
2484 y Fv(j)1601 2472 y Fx(=)83 b Fy(e)1788 2438 y Fr(\000)1849
2415 y Fg(1)p 1849 2424 V 1849 2458 a(2)1887 2438 y Fr(j)p
Fv(\030)r Fr(j)1959 2413 y Fg(2)2019 2472 y Fy(e)2058
2434 y Fv(\030)r(b)2119 2406 y Fi(y)2119 2455 y Fh(j)2178
2472 y Fw(j)23 b Fx(0)f Fy(>)2353 2484 y Fv(j)1601 2676
y Fx(=)83 b Fy(e)1788 2642 y Fr(\000)1849 2619 y Fg(1)p
1849 2628 V 1849 2662 a(2)1887 2642 y Fr(j)p Fv(\030)r
Fr(j)1959 2617 y Fg(2)2048 2572 y Fr(1)2021 2597 y Fs(X)2009
2773 y Fv(m)p Fq(=0)2176 2609 y Fx([)p Fy(\030)27 b(b)2298
2569 y Fr(y)2298 2632 y Fv(j)2333 2609 y Fx(])2356 2579
y Fv(m)p 2176 2657 244 4 v 2250 2733 a Fy(m)p Fx(!)2452
2676 y Fw(j)c Fx(0)g Fy(>)2628 2688 y Fv(j)1601 2952
y Fx(=)83 b Fy(e)1788 2917 y Fr(\000)1849 2895 y Fg(1)p
1849 2904 29 4 v 1849 2937 a(2)1887 2917 y Fr(j)p Fv(\030)r
Fr(j)1959 2892 y Fg(2)2048 2848 y Fr(1)2021 2873 y Fs(X)2009
3049 y Fv(m)p Fq(=0)2184 2895 y Fx([)p Fy(\030)t Fx(])2270
2865 y Fv(m)p 2176 2933 166 4 v 2176 2949 a Fw(p)p 2245
2949 96 4 v 71 x Fy(m)p Fx(!)2374 2952 y Fw(j)23 b Fy(m)g(>)2581
2964 y Fv(j)2662 2952 y Fy(:)118 3239 y Fz(7.2.4)94 b(Oznak)m(e)118
3392 y FB(U)32 b(o)n(v)n(om)d(radu)i Fy(\030)k FB(je)d(p)r(onek)-5
b(ad)31 b(funk)n(cija)g(nek)n(og)f(cjelobro)5 b(jnog)29
b(indeksa,)j(npr.)47 b Fy(n)p FB(.)h(T)-7 b(ada)30 b(se)h(umjesto)g
Fy(S)3480 3404 y Fv(j)3515 3392 y Fx(\()p Fy(\030)3583
3404 y Fv(n)3629 3392 y Fx(\))118 3491 y FB(radi)c(kra\242eg)f(pisanja)
h(k)n(oristi)f Fy(S)1139 3503 y Fv(j)1174 3491 y Fx(\()p
Fy(n)p Fx(\))p FB(.)118 3724 y Fu(7.3)112 b(Do)s(datak)39
b(C:)e(Izraz)g(za)h(v)-6 b(arijacion)m(u)36 b(energiju)i(VV)e(funk)m
(cije)118 3877 y FB(Radi)30 b(kra\242eg)f(pisanja,)h(uzet)h(\242emo)f
(da)g(je)h(k)n(onstan)n(ta)d(re\262etk)n(e)h Fy(a)f Fx(=)f(1)p
FB(,)k(te)g(\242emo)e Fw(j)f Fx(0)f Fy(>)j FB(zamijeniti)h(oznak)n(om)
118 3977 y Fy(>)p FB(.)36 b(U)25 b(o)n(v)n(om)e(do)r(datku)i(k)n
(oristit)e(\242emo)i(slijede\242u)f(k)n(on)n(v)n(enciju)g(s)h
(indeksima)f(sumacije:)35 b(ak)n(o)23 b(granice)h(sumacije)118
4076 y(nisu)k(ispisane)f(u)h(slu\243a)5 b(ju)28 b(da)f(se)h(sumira)f(p)
r(o)h Fy(m)g FB(granice)e(su)i Fx(0)g FB(i)g Fw(1)p FB(,)g(ina\243e)f
Fw(\0001)h FB(i)g Fw(1)p FB(.)38 b(Zgo)r(dno)27 b(je)h(jo\262)g(o)r
(dmah)118 4176 y(na)5 b(ja)n(viti)27 b(da)g(\242e)g Fx(\001)h
FB(uvijek)g(supstituirati)g Fy(j)23 b Fw(\000)18 b Fy(j)1636
4146 y Fr(0)1659 4176 y FB(.)243 4276 y(\232elimo)27
b(izra\243unati)f(energetski)h(funk)n(cional)f(\(v)-5
b(arijacion)n(u)27 b(energiju\))g Fy(E)33 b FB(zadan)27
b(na)g(slijede\242i)h(na\243in)1017 4593 y Fy(E)88 b
Fx(=)1324 4536 y Fy(<)22 b Fx(\011)1476 4506 y Fv(K)1563
4536 y Fw(j)h Fy(H)30 b Fw(j)23 b Fx(\011)1819 4506 y
Fv(K)1906 4536 y Fy(>)p 1324 4573 647 4 v 1396 4649 a(<)g
Fx(\011)1549 4626 y Fv(K)1636 4649 y Fw(j)g Fx(\011)1747
4626 y Fv(K)1833 4649 y Fy(>)955 4791 y Fx(\011)1020
4756 y Fv(K)1166 4791 y Fx(=)83 b(1)p Fy(=)1398 4716
y Fw(p)p 1466 4716 76 4 v 1466 4791 a Fy(N)1556 4712
y Fs(X)1600 4889 y Fv(j)1689 4791 y Fy(e)1728 4756 y
Fv(iK)t(aj)1905 4791 y Fx(\()1937 4712 y Fs(X)1987 4890
y Fv(l)2072 4791 y Fy(\021)2113 4803 y Fv(l)2161 4791
y Fy(c)2197 4751 y Fr(y)2197 4816 y Fv(j)s Fq(+)p Fv(l)2304
4791 y Fx(\))2374 4712 y Fs(Y)2406 4886 y Fv(n)2494 4791
y Fy(S)2545 4803 y Fv(j)s Fq(+)p Fv(n)2671 4791 y Fx(\()p
Fy(n)p Fx(\))24 b Fy(>)883 5036 y(S)934 5048 y Fv(j)969
5036 y Fx(\()p Fy(n)p Fx(\))83 b(=)g Fy(e)1353 4998 y
Fv(\030)1383 5006 y Fh(n)1423 4998 y Fv(b)1452 4970 y
Fi(y)1452 5019 y Fh(j)1484 4998 y Fr(\000)p Fv(\030)1568
4973 y Fi(\003)1566 5015 y Fh(n)1607 4998 y Fv(b)1636
5006 y Fh(j)1002 5171 y Fy(\030)1038 5183 y Fv(n)1166
5171 y Fx(=)g Fy(A)23 b(B)1466 5137 y Fr(j)p Fv(n)p Fr(j)1574
5171 y Fy(e)1613 5137 y Fv(i'n)1017 5296 y Fy(\021)1058
5308 y Fv(l)1166 5296 y Fx(=)83 b Fy(\032)1357 5308 y
Fv(l)1405 5296 y Fy(e)1444 5261 y Fv(iK)t(l)1015 5420
y Fy(\032)1058 5432 y Fv(l)1166 5420 y Fx(=)g Fy(C)29
b(G)1467 5386 y Fr(j)p Fv(l)p Fr(j)1555 5420 y Fy(:)118
5603 y(A;)14 b(B)t(;)g(C)q(;)g(G;)g(';)29 b FB(su)f(v)-5
b(arijacioni)26 b(parametri.)35 b(No,)28 b(zb)r(og)f(normalizacije)f
(elektronsk)n(og)f(dijela)j(v)-5 b(alne)27 b(funk)n(cije)1638
5723 y Fs(X)1687 5901 y Fv(l)1771 5802 y Fy(\021)1815
5767 y Fr(\003)1812 5822 y Fv(l)1877 5802 y Fy(\021)1918
5814 y Fv(l)1967 5802 y Fx(=)22 b(1)h Fy(;)p eop
%%Page: 45 45
45 44 bop 3578 -240 a FB(45)118 51 y(samo)27 b(jedan)g(o)r(d)h(dv)-5
b(a)27 b(parametra)f Fy(C)q(;)14 b(G;)29 b FB(je)f(neza)n(visan,)e(a)h
(zb)r(og)g(\(36\))g(isti)h(je)g(slu\243a)5 b(j)27 b(s)g
Fy(A;)14 b(B)t FB(,)647 282 y Fx(\()679 203 y Fs(X)719
378 y Fv(n)813 282 y Fy(b)849 294 y Fv(n)894 282 y Fx(\))23
b(\011)1014 248 y Fv(K)1101 282 y Fx(=)f(\()1220 203
y Fs(X)1260 378 y Fv(n)1354 282 y Fy(\030)1390 294 y
Fv(n)1436 282 y Fx(\))h(\011)1556 248 y Fv(K)1643 282
y Fx(=)g Fy(A)2004 226 y Fx(1)18 b Fw(\000)g Fy(B)2214
196 y Fq(2)p 1803 263 651 4 v 1803 339 a Fx(1)g Fw(\000)g
Fx(2)p Fy(B)f Fx(cos)c Fy(')19 b Fx(+)f Fy(B)2416 315
y Fq(2)2486 282 y Fx(\011)2551 248 y Fv(K)2638 282 y
Fx(=)23 b Fw(\000)p Fy(\025=!)i Fx(\011)3023 248 y Fv(K)3110
282 y Fy(:)381 b FB(\(35\))243 491 y(Izra\243una)5 b(jmo)25
b(o)r(dmah)j(slijede\242e)f(matri\243ne)g(elemenate)h(k)n(o)5
b(ji)26 b(\242e)i(nam)f(trebati)h(k)-5 b(asnije)585 757
y Fy(Z)642 769 y Fq(0)679 757 y Fx(\()p Fy(n)761 723
y Fr(0)785 757 y Fy(;)14 b(n)p Fx(\))83 b(=)f Fy(<)23
b(S)1278 717 y Fr(y)1273 780 y Fv(j)1312 757 y Fx(\()p
Fy(n)1394 723 y Fr(0)1418 757 y Fx(\))p Fy(S)1501 769
y Fv(j)1536 757 y Fx(\()p Fy(n)p Fx(\))g Fy(>)987 934
y Fx(=)82 b Fy(e)1173 900 y Fr(\000)1235 878 y Fg(1)p
1235 887 29 4 v 1235 920 a(2)1273 900 y Fq(\()p Fr(j)p
Fv(\030)1349 908 y Fh(n)1390 900 y Fr(j)1410 875 y Fg(2)1442
900 y Fq(+)p Fr(j)p Fv(\030)1543 915 y Fh(n)1580 903
y Fi(0)1606 900 y Fr(j)1626 875 y Fg(2)1658 900 y Fq(\))1722
855 y Fs(X)1702 1033 y Fv(m)1761 1017 y Fi(0)1783 1033
y Fv(;m)2019 878 y Fx(1)p 1886 915 308 4 v 1886 932 a
Fw(p)p 1955 932 239 4 v 70 x Fy(m)2028 978 y Fr(0)2051
1002 y Fx(!)23 b Fy(m)p Fx(!)2226 934 y Fy(\030)2266
900 y Fr(\003)p Fv(m)2359 875 y Fi(0)2262 955 y Fv(n)2303
938 y Fi(0)2386 934 y Fy(\030)2426 900 y Fv(m)2422 955
y(n)2535 934 y Fy(<)g(b)2659 900 y Fv(m)2718 875 y Fi(0)2659
955 y Fv(j)2744 934 y Fy(b)2780 894 y Fr(y)p Fv(m)2780
957 y(j)2896 934 y Fy(>)987 1196 y Fx(=)82 b Fy(e)1173
1162 y Fr(\000)1235 1139 y Fg(1)p 1235 1148 29 4 v 1235
1182 a(2)1273 1162 y Fq(\()p Fr(j)p Fv(\030)1349 1170
y Fh(n)1390 1162 y Fr(j)1410 1137 y Fg(2)1442 1162 y
Fq(+)p Fr(j)p Fv(\030)1543 1177 y Fh(n)1580 1165 y Fi(0)1606
1162 y Fr(j)1626 1137 y Fg(2)1658 1162 y Fq(\))1722 1117
y Fs(X)1702 1295 y Fv(m)1761 1278 y Fi(0)1783 1295 y
Fv(;m)2019 1140 y Fx(1)p 1886 1177 308 4 v 1886 1193
a Fw(p)p 1955 1193 239 4 v 71 x Fy(m)2028 1240 y Fr(0)2051
1264 y Fx(!)23 b Fy(m)p Fx(!)2226 1196 y Fy(\030)2266
1162 y Fr(\003)p Fv(m)2359 1137 y Fi(0)2262 1216 y Fv(n)2303
1200 y Fi(0)2386 1196 y Fy(\030)2426 1162 y Fv(m)2422
1216 y(n)2535 1196 y Fy(\016)2572 1208 y Fv(m)2631 1192
y Fi(0)2653 1208 y Fv(;m)987 1457 y Fx(=)82 b Fy(e)1173
1423 y Fr(\000)1235 1401 y Fg(1)p 1235 1410 29 4 v 1235
1443 a(2)1273 1423 y Fq(\()p Fr(j)p Fv(\030)1349 1431
y Fh(n)1390 1423 y Fr(j)1410 1398 y Fg(2)1442 1423 y
Fq(+)p Fr(j)p Fv(\030)1543 1438 y Fh(n)1580 1426 y Fi(0)1606
1423 y Fr(j)1626 1398 y Fg(2)1658 1423 y Fq(\))1702 1379
y Fs(X)1732 1553 y Fv(m)1873 1401 y Fx(1)p 1846 1438
96 4 v 1846 1514 a Fy(m)p Fx(!)1975 1457 y Fy(\030)2015
1423 y Fr(\003)p Fv(m)2011 1478 y(n)2052 1461 y Fi(0)2112
1457 y Fy(\030)2152 1423 y Fv(m)2148 1478 y(n)987 1681
y Fx(=)g Fy(e)1173 1646 y Fr(\000)1235 1624 y Fg(1)p
1235 1633 29 4 v 1235 1666 a(2)1273 1646 y Fq(\()p Fr(j)p
Fv(\030)1349 1654 y Fh(n)1390 1646 y Fr(j)1410 1621 y
Fg(2)1442 1646 y Fq(+)p Fr(j)p Fv(\030)1543 1662 y Fh(n)1580
1650 y Fi(0)1606 1646 y Fr(j)1626 1621 y Fg(2)1658 1646
y Fr(\000)p Fq(2)19 b Fv(\030)1794 1621 y Fi(\003)1792
1670 y Fh(n)1829 1658 y Fi(0)1855 1646 y Fv(\030)1885
1654 y Fh(n)1926 1646 y Fq(\))585 2054 y Fy(Z)642 2066
y Fq(1)679 2054 y Fx(\()p Fy(n)761 2020 y Fr(0)785 2054
y Fy(;)14 b(n)p Fx(\))83 b(=)f Fy(<)23 b(S)1278 2014
y Fr(y)1273 2077 y Fv(j)1312 2054 y Fx(\()p Fy(n)1394
2020 y Fr(0)1418 2054 y Fx(\))g Fy(b)1509 2066 y Fv(j)1567
2054 y Fy(S)1618 2066 y Fv(j)1653 2054 y Fx(\()p Fy(n)p
Fx(\))g Fy(>)987 2231 y Fx(=)82 b Fy(e)1173 2197 y Fr(\000)1235
2175 y Fg(1)p 1235 2184 V 1235 2217 a(2)1273 2197 y Fq(\()p
Fr(j)p Fv(\030)1349 2205 y Fh(n)1390 2197 y Fr(j)1410
2172 y Fg(2)1442 2197 y Fq(+)p Fr(j)p Fv(\030)1543 2212
y Fh(n)1580 2200 y Fi(0)1606 2197 y Fr(j)1626 2172 y
Fg(2)1658 2197 y Fq(\))1722 2153 y Fs(X)1702 2331 y Fv(m)1761
2314 y Fi(0)1783 2331 y Fv(;m)2019 2175 y Fx(1)p 1886
2212 308 4 v 1886 2229 a Fw(p)p 1955 2229 239 4 v 71
x Fy(m)2028 2276 y Fr(0)2051 2300 y Fx(!)23 b Fy(m)p
Fx(!)2226 2231 y Fy(\030)2266 2197 y Fr(\003)p Fv(m)2359
2172 y Fi(0)2262 2252 y Fv(n)2303 2235 y Fi(0)2386 2231
y Fy(\030)2426 2197 y Fv(m)2422 2252 y(n)2535 2231 y
Fy(<)g(b)2659 2197 y Fv(m)2718 2172 y Fi(0)2659 2252
y Fv(j)2767 2231 y Fy(b)2803 2243 y Fv(j)2861 2231 y
Fy(b)2897 2192 y Fr(y)p Fv(m)2897 2255 y(j)3013 2231
y Fy(>)987 2493 y Fx(=)82 b Fy(e)1173 2459 y Fr(\000)1235
2437 y Fg(1)p 1235 2446 29 4 v 1235 2479 a(2)1273 2459
y Fq(\()p Fr(j)p Fv(\030)1349 2467 y Fh(n)1390 2459 y
Fr(j)1410 2434 y Fg(2)1442 2459 y Fq(+)p Fr(j)p Fv(\030)1543
2474 y Fh(n)1580 2462 y Fi(0)1606 2459 y Fr(j)1626 2434
y Fg(2)1658 2459 y Fq(\))1722 2414 y Fs(X)1702 2592 y
Fv(m)1761 2576 y Fi(0)1783 2592 y Fv(;m)2019 2437 y Fx(1)p
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y Fy(\030)2426 2459 y Fv(m)2422 2514 y(n)2512 2422 y
Fw(p)p 2581 2422 240 4 v 71 x Fy(m)2654 2469 y Fr(0)2696
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b Fy(e)1173 2697 y Fr(\000)1235 2675 y Fg(1)p 1235 2684
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2705 y Fh(n)1390 2697 y Fr(j)1410 2672 y Fg(2)1442 2697
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a(2)1273 3248 y Fq(\()p Fr(j)p Fv(\030)1349 3256 y Fh(n)1390
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1235 4285 V 1235 4318 a(2)1273 4298 y Fq(\()p Fr(j)p
Fv(\030)1349 4306 y Fh(n)1390 4298 y Fr(j)1410 4273 y
Fg(2)1442 4298 y Fq(+)p Fr(j)p Fv(\030)1543 4314 y Fh(n)1580
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4580 a(2)1273 4560 y Fq(\()p Fr(j)p Fv(\030)1349 4568
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4615 y(n)2535 4594 y Fy(m)46 b(\016)2691 4606 y Fv(m)2750
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y Fh(n)1390 4798 y Fr(j)1410 4773 y Fg(2)1442 4798 y
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FB(.)p eop
%%Page: 46 46
46 45 bop 3578 -240 a FB(46)243 51 y(Ra\243un)27 b(normalizacije)462
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333 y Fy(>)701 474 y Fx(=)82 b(1)p Fy(=)-5 b(N)1040 395
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y Fi(0)1457 440 y Fq(\))1524 395 y Fs(X)1542 574 y Fv(l;l)1604
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y Fy(S)2556 434 y Fr(y)2551 498 y Fv(j)2581 482 y Fi(0)2604
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Fv(;l;l)1250 797 y Fi(0)1285 714 y Fy(\016)1322 726 y
Fv(j)1352 710 y Fi(0)1376 726 y Fq(+)p Fv(l)1448 710
y Fi(0)1470 726 y Fv(;j)1520 710 y Fi(0)1543 726 y Fq(+\001+)p
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y Fs(Y)2191 813 y Fv(n;n)2293 796 y Fi(0)2338 714 y Fy(<)23
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738 y Fq(+)p Fv(n)2622 722 y Fi(0)2649 714 y Fx(\()p
Fy(n)2731 680 y Fr(0)2754 714 y Fx(\))p Fy(S)2837 726
y Fv(j)2867 710 y Fi(0)2891 726 y Fq(+\001+)p Fv(n)3092
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966 y Fv(l)p Fq(+\001)1156 954 y Fy(\032)1199 966 y Fv(l)1270
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1594 y Fs(X)861 1773 y Fq(\001)p Fv(;l)982 1673 y Fy(\032)1025
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y Fv(l)1248 1673 y Fy(Y)1296 1685 y Fq(\001)1401 1673
y Fy(:)243 1954 y FB(Doprinos)26 b(o)r(d)i Fy(H)784 1966
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y Fv(u)p Fq(+1)1545 1954 y Fx(+)18 b Fy(c)1664 1966 y
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y Fv(u)p Fr(\000)p Fq(1)2500 2378 y Fx(\))24 b Fy(c)2592
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y Fr(\003)1416 3358 y Fv(l)p Fq(+\001+1)1631 3337 y Fx(\))24
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3577 y Fy(e)1120 3543 y Fv(iK)1225 3577 y Fx(+)18 b Fy(\032)1351
3589 y Fv(l)p Fq(+\001+1)1589 3577 y Fy(e)1628 3543 y
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Fv(K)944 4195 y Fw(j)g Fy(H)1059 4207 y Fv(f)7 b(n)1167
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Fs(X)909 4438 y Fv(j;j)986 4421 y Fi(0)1010 4438 y Fv(;u)1082
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4439 y Fv(l;l)1513 4422 y Fi(0)1567 4339 y Fy(\021)1611
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4335 y Fi(0)2091 4339 y Fy(c)2127 4299 y Fr(y)2127 4364
y Fv(j)s Fq(+)p Fv(l)2280 4260 y Fs(Y)2271 4438 y Fv(n;n)2373
4421 y Fi(0)2409 4339 y Fy(S)2465 4299 y Fr(y)2460 4363
y Fv(j)2490 4347 y Fi(0)2513 4363 y Fq(+)p Fv(n)2605
4347 y Fi(0)2632 4339 y Fx(\()p Fy(n)2714 4305 y Fr(0)2737
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4339 y Fy(b)2931 4351 y Fv(u)2997 4339 y Fy(S)3048 4351
y Fv(j)s Fq(+)p Fv(n)3175 4339 y Fx(\()p Fy(n)p Fx(\))f
Fy(>)557 4579 y Fx(=)83 b Fy(!)s(=)-5 b(N)995 4500 y
Fs(X)909 4679 y Fv(j)939 4662 y Fi(0)963 4679 y Fv(;)p
Fq(\001)p Fv(;u;l;l)1179 4662 y Fi(0)1214 4579 y Fy(\016)1251
4591 y Fv(j)1281 4575 y Fi(0)1304 4591 y Fq(+)p Fv(l)1376
4575 y Fi(0)1399 4591 y Fv(;j)1449 4575 y Fi(0)1472 4591
y Fq(+\001+)p Fv(l)1677 4579 y Fy(e)1716 4544 y Fv(iK)t
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y Fv(n;n)2296 4661 y Fi(0)2332 4579 y Fy(S)2388 4539
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Fq(+)p Fv(n)2528 4586 y Fi(0)2555 4579 y Fx(\()p Fy(n)2637
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4599 y Fv(u)2817 4579 y Fy(b)2853 4591 y Fv(u)2919 4579
y Fy(S)2970 4591 y Fv(j)3000 4575 y Fi(0)3024 4591 y
Fq(+\001+)p Fv(n)3225 4579 y Fx(\()p Fy(n)p Fx(\))h Fy(>)557
4819 y Fx(=)83 b Fy(!)814 4740 y Fs(X)797 4918 y Fv(u;)p
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5058 y Fx(=)83 b Fy(!)797 4979 y Fs(X)809 5158 y Fq(\001)p
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5154 y Fv(u)1366 5058 y Fy(Z)1423 5070 y Fq(3)1460 5058
y Fx(\()p Fy(u;)14 b(u)k Fw(\000)g Fx(\001\))1865 4979
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Fv(u)2321 5298 y Fy(Z)2378 5310 y Fq(0)2415 5298 y Fx(\()p
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%%Page: 47 47
47 46 bop 3578 -240 a FB(47)128 219 y Fy(E)189 231 y
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y Fw(j)g Fx(\011)1096 185 y Fv(K)1183 219 y Fy(>)366
360 y Fx(=)83 b Fy(\025=)-5 b(N)732 282 y Fs(X)712 460
y Fv(j;j)789 443 y Fi(0)812 460 y Fv(;u)885 360 y Fy(e)924
326 y Fv(iK)t Fq(\()p Fv(j)s Fr(\000)p Fv(j)1145 301
y Fi(0)1169 326 y Fq(\))1236 282 y Fs(X)1254 460 y Fv(l;l)1316
444 y Fi(0)1370 360 y Fy(\021)1414 326 y Fr(\003)1411
381 y Fv(l)1432 364 y Fi(0)1482 360 y Fy(\021)1523 372
y Fv(l)1595 360 y Fy(<)22 b(c)1718 372 y Fv(j)1748 356
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372 y Fv(u)2098 360 y Fy(c)2134 321 y Fr(y)2134 385 y
Fv(j)s Fq(+)p Fv(l)2288 282 y Fs(Y)2279 460 y Fv(n;n)2381
443 y Fi(0)2417 360 y Fy(S)2473 321 y Fr(y)2468 385 y
Fv(j)2498 368 y Fi(0)2521 385 y Fq(+)p Fv(n)2613 368
y Fi(0)2639 360 y Fx(\()p Fy(n)2721 326 y Fr(0)2745 360
y Fx(\))h(\()p Fy(b)2868 326 y Fr(y)2868 381 y Fv(u)2930
360 y Fx(+)18 b Fy(b)3049 372 y Fv(u)3092 360 y Fx(\))23
b Fy(S)3198 372 y Fv(j)s Fq(+)p Fv(n)3325 360 y Fx(\()p
Fy(n)p Fx(\))h Fy(>)366 600 y Fx(=)83 b Fy(\025=)-5 b(N)798
521 y Fs(X)712 700 y Fv(j)742 684 y Fi(0)765 700 y Fv(;)p
Fq(\001)p Fv(;u;l;l)981 684 y Fi(0)1017 600 y Fy(\016)1054
612 y Fv(j)1084 596 y Fi(0)1107 612 y Fq(+)p Fv(l)1179
596 y Fi(0)1202 612 y Fv(;u)1288 600 y Fy(\016)1325 612
y Fv(u;j)1414 596 y Fi(0)1437 612 y Fq(+\001+)p Fv(l)1642
600 y Fy(e)1681 566 y Fv(iK)t Fq(\001)1846 600 y Fy(\021)1890
566 y Fr(\003)1887 621 y Fv(l)1908 604 y Fi(0)1958 600
y Fy(\021)1999 612 y Fv(l)2062 521 y Fs(Y)2083 699 y
Fv(n)2124 683 y Fi(0)2191 600 y Fy(<)23 b(S)2335 560
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Fv(n)2475 608 y Fi(0)2501 600 y Fx(\()p Fy(n)2583 566
y Fr(0)2607 600 y Fx(\))g(\()p Fy(b)2730 566 y Fr(y)2730
621 y Fv(u)2792 600 y Fx(+)18 b Fy(b)2911 612 y Fv(u)2954
600 y Fx(\))23 b Fy(S)3060 612 y Fv(j)3090 596 y Fi(0)3114
612 y Fq(+)p Fv(n)3206 596 y Fi(0)3232 600 y Fx(\()p
Fy(n)3314 566 y Fr(0)3356 600 y Fw(\000)18 b Fx(\001\))24
b Fy(>)366 840 y Fx(=)83 b Fy(\025)599 761 y Fs(X)612
940 y Fq(\001)p Fv(;l)733 840 y Fy(\032)776 852 y Fv(l)p
Fq(+\001)930 840 y Fy(\032)973 852 y Fv(l)1035 761 y
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840 y Fx(\()p Fy(n)1453 806 y Fr(0)1476 840 y Fx(\))h(\()p
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840 y Fx(\()p Fy(n)2254 806 y Fr(0)2296 840 y Fw(\000)18
b Fx(\001\))24 b Fy(>)366 1080 y Fx(=)83 b Fy(\025)599
1001 y Fs(X)612 1180 y Fq(\001)p Fv(;l)733 1080 y Fy(\032)776
1092 y Fv(l)p Fq(+\001)930 1080 y Fy(\032)973 1092 y
Fv(l)1022 1080 y Fx([)p Fy(Z)1102 1092 y Fq(1)1139 1080
y Fx(\()p Fy(l)20 b Fx(+)e(\001)p Fy(;)c(l)r Fx(\))k(+)g
Fy(Z)1622 1092 y Fq(2)1659 1080 y Fx(\()p Fy(l)i Fx(+)e(\001)p
Fy(;)c(l)r Fx(\)])2088 1001 y Fs(Y)2021 1180 y Fv(n)2062
1163 y Fi(0)2084 1180 y Fr(6)p Fq(=)p Fv(l)p Fq(+\001)2276
1080 y Fy(Z)2333 1092 y Fq(0)2370 1080 y Fx(\()p Fy(n)2452
1046 y Fr(0)2475 1080 y Fy(;)g(n)2562 1046 y Fr(0)2604
1080 y Fw(\000)k Fx(\001\))366 1320 y(=)83 b Fy(\025)599
1241 y Fs(X)612 1420 y Fq(\001)p Fv(;l)733 1320 y Fy(\032)776
1332 y Fv(l)p Fq(+\001)930 1320 y Fy(\032)973 1332 y
Fv(l)1022 1320 y Fx([)p Fy(Z)1102 1332 y Fq(0)1139 1320
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1332 y Fq(0)1744 1320 y Fx(\()p Fy(l)i Fx(+)e(\001)p
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1340 y Fv(l)p Fq(+\001)2259 1320 y Fx(])2364 1241 y Fs(Y)2296
1420 y Fv(n)2337 1403 y Fi(0)2359 1420 y Fr(6)p Fq(=)p
Fv(l)p Fq(+\001)2551 1320 y Fy(Z)2608 1332 y Fq(0)2645
1320 y Fx(\()p Fy(n)2727 1286 y Fr(0)2750 1320 y Fy(;)14
b(n)2837 1286 y Fr(0)2879 1320 y Fw(\000)k Fx(\001\))366
1560 y(=)83 b Fy(\025)599 1481 y Fs(X)612 1660 y Fq(\001)p
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b Fy(Y)1469 1572 y Fq(\001)1574 1560 y Fy(:)243 1814
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b(je)26 b(nam)i(treba)5 b(ju)27 b(za)g(ukupni)h(ra\243un)1143
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y Fv(n)1546 2306 y Fx(=)82 b Fy(A)1755 2272 y Fq(2)1816
2306 y Fx(\(2)1904 2227 y Fs(X)1934 2402 y Fv(m)2037
2306 y Fy(B)2104 2272 y Fq(2)2160 2306 y Fw(\000)18 b
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Fw(\000)g Fx(1\))1546 2774 y(=)82 b Fy(A)1755 2739 y
Fq(2)1803 2717 y Fx(1)18 b(+)g Fy(B)2013 2687 y Fq(2)p
1803 2755 V 1803 2831 a Fx(1)g Fw(\000)g Fy(B)2013 2807
y Fq(2)1546 2927 y Fx(=)82 b Fy(N)1760 2939 y Fv(f)7
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3084 y Fv(n)1546 3072 y Fx(=)1693 2993 y Fs(X)1733 3167
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y Fs(X)958 3763 y Fv(n)1053 3668 y Fy(B)1120 3634 y Fr(j)p
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3634 y Fr(j)p Fq(\001)p Fr(j)1914 3589 y Fs(X)1944 3763
y Fv(m)2048 3668 y Fy(B)2115 3634 y Fq(2)2170 3668 y
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Fr(j)p Fq(\001)p Fr(j)1546 3930 y Fx(=)82 b Fy(B)1760
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y(1)19 b(+)f Fy(B)2111 3844 y Fq(2)p 1901 3911 248 4
v 1901 3987 a Fx(1)g Fw(\000)g Fy(B)2111 3963 y Fq(2)2158
3930 y Fx(+)23 b Fw(j)g Fx(\001)g Fw(j)p Fx(\))1036 4035
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Fq(\001)2046 4035 y Fs(X)2085 4210 y Fv(n)2180 4114 y
Fy(B)2247 4080 y Fr(j)p Fv(n)p Fr(j)2332 4114 y Fy(B)2399
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Fy(A)1755 4341 y Fq(2)1816 4375 y Fy(e)1855 4341 y Fr(\000)p
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4289 y Fq(2)p 2263 4356 V 2263 4432 a Fx(1)g Fw(\000)g
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Fw(j)p Fx(\))1024 4517 y Fs(X)1063 4691 y Fv(n)1158 4596
y Fy(\032)1201 4608 y Fv(n)1269 4596 y Fy(\032)1312 4608
y Fv(n)p Fq(+\001)1546 4596 y Fx(=)82 b Fy(C)1758 4562
y Fq(2)1819 4596 y Fy(G)1884 4562 y Fr(j)p Fq(\001)p
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Fy(G)2232 4629 y Fq(2)2280 4596 y Fx(+)23 b Fw(j)g Fx(\001)g
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4813 y Fr(\000)p Fv(\026)1704 4843 y FB(,)28 b(dobiv)-5
b(amo)1522 5111 y Fy(N)1589 5123 y Fv(f)7 b(n)1756 5111
y Fx(=)83 b Fy(A)1966 5077 y Fq(2)2040 5111 y Fx(coth)14
b Fy(\027)1571 5236 y(C)1636 5202 y Fq(2)1756 5236 y
Fx(=)83 b(coth)13 b Fy(\026)24 b(:)118 5405 y FB(Na\262e)j(izraze)g
(isk)-5 b(aziv)g(at)27 b(\242emo)g(zb)r(og)g(preglednosti)f(prek)n(o)g
Fy(\027)5 b FB(,)28 b Fy(\026)p FB(.)37 b(Izrazimo)26
b Fy(Y)2586 5417 y Fq(\001)781 5673 y Fy(Y)829 5685 y
Fq(\001)971 5673 y Fx(=)82 b(exp)14 b([)p Fw(\000)p Fx(1)p
Fy(=)p Fx(2\()p Fw(j)21 b Fy(\030)1585 5685 y Fv(n)1654
5673 y Fw(j)1677 5639 y Fq(2)1737 5673 y Fx(+)i Fw(j)g
Fy(\030)1907 5685 y Fv(n)p Fr(\000)p Fq(\001)2082 5673
y Fw(j)2105 5639 y Fq(2)2165 5673 y Fw(\000)p Fx(2)g
Fy(\030)2335 5639 y Fr(\003)2331 5694 y Fv(n)2399 5673
y Fy(\030)2435 5685 y Fv(n)p Fr(\000)p Fq(\001)2587 5673
y Fx(\)])971 5851 y(=)82 b(exp)14 b([)p Fw(\000)p Fy(N)1414
5863 y Fv(f)7 b(n)1516 5851 y Fx(+)18 b Fy(A)1661 5816
y Fq(2)1721 5851 y Fy(e)1760 5816 y Fr(\000)p Fv(i')p
Fq(\001)1961 5851 y Fy(B)2028 5816 y Fr(j)p Fq(\001)p
Fr(j)2126 5851 y Fx(\()2168 5795 y(1)g(+)g Fy(B)2378
5764 y Fq(2)p 2168 5832 248 4 v 2168 5908 a Fx(1)g Fw(\000)g
Fy(B)2378 5884 y Fq(2)2426 5851 y Fx(+)k Fw(j)h Fx(\001)h
Fw(j)p Fx(\)])p eop
%%Page: 48 48
48 47 bop 3578 -240 a FB(48)971 51 y Fx(=)82 b(exp)14
b([)p Fw(\000)p Fy(N)1414 63 y Fv(f)7 b(n)1516 51 y Fx(+)18
b Fy(N)1666 63 y Fv(f)7 b(n)1773 51 y Fy(e)1812 16 y
Fr(\000)p Fv(i')p Fq(\001)1989 51 y Fy(e)2028 16 y Fr(\000)p
Fv(\027)t Fr(j)p Fq(\001)p Fr(j)2215 51 y Fx(\(1+)22
b Fw(j)h Fx(\001)h Fw(j)46 b Fx(tanh)14 b Fy(\027)5 b
Fx(\)])971 185 y(=)82 b(exp)14 b([)p Fw(\000)p Fy(N)1414
197 y Fv(f)7 b(n)1516 185 y Fx(+)18 b Fy(N)1666 197 y
Fv(f)7 b(n)1773 185 y Fy(e)1812 151 y Fr(\000)p Fv(\027)t
Fr(j)p Fq(\001)p Fr(j)2035 185 y Fx(cos)13 b(\()p Fy(')p
Fx(\001\))q(\(1+)23 b Fw(j)g Fx(\001)g Fw(j)46 b Fx(tanh)14
b Fy(\027)5 b Fx(\)])971 320 y Fw(\002)82 b Fx(exp)14
b([)p Fw(\000)p Fy(i)22 b(N)1465 332 y Fv(f)7 b(n)1572
320 y Fy(e)1611 286 y Fr(\000)p Fv(\027)t Fr(j)p Fq(\001)p
Fr(j)1835 320 y Fx(sin)13 b(\()p Fy(')p Fx(\001\))r(\(1+)22
b Fw(j)h Fx(\001)g Fw(j)47 b Fx(tanh)13 b Fy(\027)5 b
Fx(\)])47 b Fy(:)118 483 y FB(Prvi)30 b(faktor)g(u)g(zadnjem)h(redu)f
(ozna\243imo)f(s)h Fy(R)1646 495 y Fq(\001)1705 483 y
FB(,)h(a)f(drugi)g(s)g Fy(I)2150 495 y Fq(\001)2209 483
y FB(,)i(pa)e(vrijedi)g Fy(Y)2691 495 y Fq(\001)2778
483 y Fx(=)d Fy(R)2933 495 y Fq(\001)2992 483 y Fy(I)3028
495 y Fq(\001)3087 483 y FB(,)k(i)g Fy(Y)3261 453 y Fr(\003)3243
506 y Fq(\001)3329 483 y Fx(=)c Fy(R)3484 495 y Fq(\001)3543
483 y Fy(I)3586 453 y Fr(\003)3579 506 y Fq(\001)3638
483 y FB(.)118 582 y(De\034nira)5 b(jmo)27 b Fy(P)629
594 y Fq(\001)716 582 y FB(o)n(v)-5 b(ak)n(o:)35 b Fy(I)1015
594 y Fq(\001)1097 582 y Fx(=)22 b(exp)14 b(\()p Fy(iP)1439
594 y Fq(\001)1498 582 y Fx(\))p FB(.)243 682 y(Sada)27
b(mo\272emo)f(napisati)h(k)n(ona\243ni)g(izraz)f(za)h(normalizaciju)823
944 y Fy(N)9 b(or)85 b Fx(=)1209 865 y Fs(X)1221 1044
y Fq(\001)p Fv(;l)1343 944 y Fy(\032)1386 956 y Fv(l)p
Fq(+\001)1517 944 y Fy(\032)1560 956 y Fv(l)1608 944
y Fy(Y)1656 956 y Fq(\001)1061 1184 y Fx(=)e(1)18 b(+)1382
1105 y Fs(X)1352 1284 y Fq(\001)p Fv(>)p Fq(0)p Fv(;l)1533
1184 y Fx(\()p Fy(\032)1608 1196 y Fv(l)p Fq(+\001)1739
1184 y Fy(\032)1782 1196 y Fv(l)1830 1184 y Fy(Y)1878
1196 y Fq(\001)1956 1184 y Fx(+)g Fy(\032)2082 1196 y
Fv(l)p Fr(\000)p Fq(\001)2213 1184 y Fy(\032)2256 1196
y Fv(l)2305 1184 y Fy(Y)2372 1150 y Fr(\003)2353 1205
y Fq(\001)2412 1184 y Fx(\))1061 1424 y(=)83 b(1)18 b(+)1382
1345 y Fs(X)1352 1524 y Fq(\001)p Fv(>)p Fq(0)p Fv(;l)1546
1424 y Fy(R)1609 1436 y Fq(\001)1668 1424 y Fy(\032)1711
1436 y Fv(l)p Fq(+\001)1842 1424 y Fy(\032)1885 1436
y Fv(l)1910 1424 y Fx(\()p Fy(I)1978 1436 y Fq(\001)2056
1424 y Fx(+)g Fy(I)2182 1390 y Fr(\003)2175 1444 y Fq(\001)2235
1424 y Fx(\))1061 1664 y(=)83 b(1)18 b(+)g(2)1417 1585
y Fs(X)1408 1763 y Fq(\001)p Fv(>)p Fq(0)1561 1664 y
Fy(R)1624 1676 y Fq(\001)1705 1664 y Fy(e)1744 1629 y
Fr(\000)p Fv(\026)p Fq(\001)1918 1664 y Fx(\(1+)23 b
Fw(j)g Fx(\001)g Fw(j)46 b Fx(tanh)14 b Fy(\026)p Fx(\))37
b(cos)13 b(\()p Fy(P)2796 1676 y Fq(\001)2855 1664 y
Fx(\))47 b Fy(:)243 1904 y FB(Izraz)26 b(za)h Fy(E)615
1916 y Fv(el)700 1904 y FB(ne\262to)g(je)h(te\272e)g(dobiti,)g(pa)f
(moramo)f(de\034nirati)h(no)n(v)n(e)g(supstitucije)1083
2166 y Fy(H)1152 2178 y Fq(\001)1294 2166 y Fx(=)82 b
Fy(\032)1484 2181 y Fv(n)p Fq(+)p Fr(j)p Fq(\001)p Fr(j)p
Fq(+1)1781 2166 y Fy(\032)1824 2178 y Fv(n)1294 2291
y Fx(=)g Fy(\032)1484 2303 y Fv(n)1552 2291 y Fy(\032)1595
2306 y Fv(n)p Fr(\000j)p Fq(\001)p Fr(j\000)p Fq(1)1294
2431 y Fx(=)g Fy(e)1480 2397 y Fr(\000)p Fv(\026)p Fq(\()p
Fr(j)p Fq(\001)p Fr(j)p Fq(+1\))1806 2431 y Fx([1)18
b(+)g(\()p Fw(j)24 b Fx(\001)f Fw(j)g Fx(+1\))36 b(tanh)14
b Fy(\026)p Fx(\)])1104 2556 y Fy(h)1152 2568 y Fq(\001)1294
2556 y Fx(=)82 b Fy(\032)1484 2571 y Fv(n)p Fr(\000j)p
Fq(\001)p Fr(j)p Fq(+1)1782 2556 y Fy(\032)1825 2568
y Fv(n)1294 2680 y Fx(=)g Fy(\032)1484 2692 y Fv(n)1552
2680 y Fy(\032)1595 2695 y Fv(n)p Fq(+)p Fr(j)p Fq(\001)p
Fr(j\000)p Fq(1)1294 2821 y Fx(=)g Fy(e)1480 2787 y Fr(\000)p
Fv(\026)p Fq(\()p Fr(j)p Fq(\001)p Fr(j\000)p Fq(1\))1807
2821 y Fx([1)18 b(+)g(\()p Fw(j)24 b Fx(\001)f Fw(j)g(\000)p
Fx(1\))36 b(tanh)14 b Fy(\026)p Fx(\)])24 b Fy(:)118
2984 y FB(Nak)n(on)j(uvr\262ta)n(v)-5 b(anja)26 b(dobiv)-5
b(a)27 b(se)522 3246 y Fy(E)583 3258 y Fv(el)724 3246
y Fx(=)82 b Fw(\000)p Fy(J)1027 3167 y Fs(X)1039 3346
y Fq(\001)p Fv(;l)1147 3246 y Fx(\()p Fy(\032)1222 3258
y Fv(l)p Fq(+\001)p Fr(\000)p Fq(1)1461 3246 y Fy(e)1500
3211 y Fv(iK)1605 3246 y Fx(+)18 b Fy(\032)1731 3258
y Fv(l)p Fq(+\001+1)1970 3246 y Fy(e)2009 3211 y Fr(\000)p
Fv(iK)2148 3246 y Fx(\))23 b Fy(\032)2246 3258 y Fv(l)2294
3246 y Fy(Y)2342 3258 y Fq(\001)724 3469 y Fx(=)82 b
Fw(\000)p Fy(J)8 b Fw(f)p Fx(2)p Fy(e)1113 3434 y Fr(\000)p
Fv(\026)1208 3469 y Fx([1)18 b(+)g(tanh)c Fy(\026)p Fx(])g(cos)f
Fy(K)871 3610 y Fx(+)959 3531 y Fs(X)950 3709 y Fq(\001)p
Fv(>)p Fq(0)1103 3610 y Fy(R)1166 3622 y Fq(\001)1248
3610 y Fx([)p Fy(I)1307 3622 y Fq(\001)1366 3610 y Fx(\()p
Fy(H)1467 3622 y Fq(\001)1526 3610 y Fy(e)1565 3576 y
Fr(\000)p Fv(iK)1722 3610 y Fx(+)19 b Fy(h)1854 3622
y Fq(\001)1912 3610 y Fy(e)1951 3576 y Fv(iK)2038 3610
y Fx(\))g(+)f Fy(I)2215 3576 y Fr(\003)2208 3630 y Fq(\001)2267
3610 y Fx(\()p Fy(H)2368 3622 y Fq(\001)2427 3610 y Fy(e)2466
3576 y Fv(iK)2572 3610 y Fx(+)g Fy(h)2703 3622 y Fq(\001)2761
3610 y Fy(e)2800 3576 y Fr(\000)p Fv(iK)2939 3610 y Fx(\)])p
Fw(g)724 3868 y Fx(=)82 b Fw(\000)p Fx(2)p Fy(J)8 b Fw(f)1093
3812 y Fx(cos)13 b Fy(K)p 1084 3849 222 4 v 1084 3925
a Fx(cosh)f Fy(\026)1332 3868 y Fx(+)1425 3789 y Fs(X)1415
3967 y Fq(\001)p Fv(>)p Fq(0)1569 3868 y Fy(R)1632 3880
y Fq(\001)1713 3868 y Fx([\()p Fy(H)1837 3880 y Fq(\001)1910
3868 y Fx(cos)h(\()p Fy(P)2120 3880 y Fq(\001)2198 3868
y Fw(\000)18 b Fy(K)6 b Fx(\))18 b(+)g Fy(h)2539 3880
y Fq(\001)2612 3868 y Fx(cos)13 b(\()p Fy(P)2822 3880
y Fq(\001)2899 3868 y Fx(+)18 b Fy(K)6 b Fx(\)\)])p Fw(g)46
b Fy(:)243 4108 y FB(Izraz)26 b(za)h Fy(E)615 4120 y
Fv(f)7 b(n)699 4108 y FB(dobiv)-5 b(a)28 b(se)f(lak)n(o)f(p)r(om)n
(u\242u)i(do)f(sada)g(izv)n(edenih)g(izraza)181 4370
y Fy(E)242 4382 y Fv(f)7 b(n)409 4370 y Fx(=)83 b Fy(!)666
4291 y Fs(X)649 4470 y Fv(u;)p Fq(\001)p Fv(;l)817 4370
y Fy(\032)860 4382 y Fv(l)p Fq(+\001)1014 4370 y Fy(\032)1057
4382 y Fv(l)1105 4370 y Fy(\030)1145 4336 y Fr(\003)1141
4391 y Fv(u)1208 4370 y Fy(\030)1244 4382 y Fv(u)p Fr(\000)p
Fq(\001)1417 4370 y Fy(Y)1465 4382 y Fq(\001)409 4610
y Fx(=)g Fy(N)624 4622 y Fv(f)7 b(n)708 4610 y Fy(!)s
Fx([1)18 b(+)938 4531 y Fs(X)929 4709 y Fq(\001)p Fv(>)p
Fq(0)1082 4610 y Fy(R)1145 4622 y Fq(\001)1227 4610 y
Fy(e)1266 4576 y Fr(\000)p Fq(\()p Fv(\026)p Fq(+)p Fv(\027)t
Fq(\)\001)1579 4610 y Fx(\(1+)23 b Fw(j)g Fx(\001)g Fw(j)46
b Fx(tanh)14 b Fy(\026)p Fx(\)\(1+)23 b Fw(j)g Fx(\001)g
Fw(j)47 b Fx(tanh)13 b Fy(\027)5 b Fx(\)\()p Fy(e)2908
4576 y Fr(\000)p Fv(i')p Fq(\001)3087 4610 y Fy(I)3123
4622 y Fq(\001)3200 4610 y Fx(+)18 b Fy(e)3322 4576 y
Fv(i')p Fq(\001)3448 4610 y Fy(I)3491 4576 y Fr(\003)3484
4631 y Fq(\001)3543 4610 y Fx(\)])409 4842 y(=)83 b Fy(N)624
4854 y Fv(f)7 b(n)708 4842 y Fy(!)s Fx([1)18 b(+)g(2)994
4764 y Fs(X)985 4942 y Fq(\001)p Fv(>)p Fq(0)1137 4842
y Fy(R)1200 4854 y Fq(\001)1282 4842 y Fy(e)1321 4808
y Fr(\000)p Fq(\()p Fv(\026)p Fq(+)p Fv(\027)t Fq(\)\001)1635
4842 y Fx(\(1+)k Fw(j)h Fx(\001)h Fw(j)46 b Fx(tanh)14
b Fy(\026)p Fx(\)\(1+)22 b Fw(j)h Fx(\001)h Fw(j)46 b
Fx(tanh)14 b Fy(\027)5 b Fx(\))37 b(cos)13 b(\()p Fy(P)3140
4854 y Fq(\001)3218 4842 y Fw(\000)18 b Fy(')p Fx(\001\))q(])46
b Fy(:)243 5083 y FB(Izraz)26 b(za)h Fy(E)615 5095 y
Fv(int)737 5083 y FB(izra\243una)5 b(jmo)26 b(u)i(vi\262e)f(k)n(orak)-5
b(a.)34 b(Prv)n(o)27 b(primjetimo)h(da)f(vrijedi)504
5266 y Fs(X)554 5445 y Fv(l)638 5345 y Fy(\032)681 5311
y Fq(2)681 5365 y Fv(l)718 5345 y Fx(\()p Fy(\030)790
5311 y Fr(\003)786 5365 y Fv(l)847 5345 y Fx(+)18 b Fy(\030)966
5357 y Fv(l)992 5345 y Fx(\))83 b(=)g Fw(\000)p Fx(2)p
Fy(\025)1410 5274 y Fs(p)p 1492 5274 391 4 v 1492 5345
a Fy(N)1559 5357 y Fv(f)7 b(n)1657 5345 y Fx(tanh)14
b Fy(\027)19 b Fx(tanh)14 b Fy(\026)23 b Fx([1)18 b(+)g(2)2372
5266 y Fs(X)2378 5445 y Fv(l>)p Fq(1)2505 5345 y Fy(e)2544
5311 y Fr(\000)p Fq(\()p Fv(\027)t Fq(+2)p Fv(\026)p
Fq(\))p Fv(l)2849 5345 y Fx(cos)13 b(\()p Fy('l)r Fx(\)])23
b(=)g Fy(U)3310 5357 y Fq(0)435 5499 y Fs(X)484 5678
y Fv(l)569 5578 y Fy(\032)612 5590 y Fv(l)660 5578 y
Fy(\032)703 5590 y Fv(l)p Fq(+\001)857 5578 y Fy(\030)893
5590 y Fv(l)p Fq(+\001)1107 5578 y Fx(=)1255 5499 y Fs(X)1304
5678 y Fv(l)1389 5578 y Fy(\032)1432 5590 y Fv(l)p Fq(+\001)1586
5578 y Fy(\032)1629 5590 y Fv(l)1677 5578 y Fy(\030)1717
5544 y Fr(\003)1713 5598 y Fv(l)433 5728 y Fs(X)482 5906
y Fv(l)567 5806 y Fy(\032)610 5818 y Fv(l)658 5806 y
Fy(\032)701 5818 y Fv(l)p Fr(\000)p Fq(\001)856 5806
y Fy(\030)892 5818 y Fv(l)p Fr(\000)p Fq(\001)1107 5806
y Fx(=)1255 5728 y Fs(X)1304 5906 y Fv(l)1389 5806 y
Fy(\032)1432 5818 y Fv(l)p Fr(\000)p Fq(\001)1587 5806
y Fy(\032)1630 5818 y Fv(l)1678 5806 y Fy(\030)1718 5772
y Fr(\003)1714 5827 y Fv(l)1779 5806 y Fy(;)p eop
%%Page: 49 49
49 48 bop 3578 -240 a FB(49)118 51 y(pa)27 b(sada)g(lak\262e)g
(ra\243unamo)f Fy(E)1073 63 y Fv(int)1167 51 y FB(,)173
333 y Fy(E)234 345 y Fv(int)411 333 y Fx(=)83 b Fy(\025)644
254 y Fs(X)656 433 y Fq(\001)p Fv(;l)778 333 y Fy(\032)821
345 y Fv(l)p Fq(+\001)975 333 y Fy(\032)1018 345 y Fv(l)1066
333 y Fx([)p Fy(\030)1129 299 y Fr(\003)1125 353 y Fv(l)p
Fq(+\001)1275 333 y Fx(+)18 b Fy(\030)1394 345 y Fv(l)1420
333 y Fx(])23 b Fy(Y)1514 345 y Fq(\001)411 573 y Fx(=)83
b Fy(\025)23 b Fw(f)672 494 y Fs(X)721 673 y Fv(l)805
573 y Fy(\032)848 538 y Fq(2)848 593 y Fv(l)886 573 y
Fx(\()p Fy(\030)958 538 y Fr(\003)954 593 y Fv(l)1015
573 y Fx(+)18 b Fy(\030)1134 585 y Fv(l)1159 573 y Fx(\))h(+)1324
494 y Fs(X)1293 673 y Fq(\001)p Fv(>)p Fq(0)p Fv(;l)1488
573 y Fy(R)1551 585 y Fq(\001)1632 573 y Fx([)p Fy(I)1691
585 y Fq(\001)1774 573 y Fy(\032)1817 585 y Fv(l)p Fq(+\001)1971
573 y Fy(\032)2014 585 y Fv(l)2062 573 y Fx(\()p Fy(\030)2134
538 y Fr(\003)2130 593 y Fv(l)p Fq(+\001)2280 573 y Fx(+)f
Fy(\030)2399 585 y Fv(l)2425 573 y Fx(\))h(+)f Fy(I)2602
538 y Fr(\003)2595 593 y Fq(\001)2677 573 y Fy(\032)2720
585 y Fv(l)p Fr(\000)p Fq(\001)2875 573 y Fy(\032)2918
585 y Fv(l)2966 573 y Fx(\()p Fy(\030)3038 538 y Fr(\003)3034
593 y Fv(l)p Fr(\000)p Fq(\001)3185 573 y Fx(+)g Fy(\030)3304
585 y Fv(l)3330 573 y Fx(\)])p Fw(g)411 813 y Fx(=)83
b Fy(U)616 825 y Fq(0)671 813 y Fx(+)18 b(2)p Fy(\025)868
734 y Fs(X)858 912 y Fq(\001)p Fv(>)p Fq(0)1011 813 y
Fy(R)1074 825 y Fq(\001)1133 813 y Fw(f)1175 734 y Fs(X)1205
908 y Fv(m)1308 813 y Fy(\032)1351 825 y Fv(m)p Fq(+\001)1543
813 y Fy(\032)1586 825 y Fv(m)1672 813 y Fx([\()p Fy(I)1763
825 y Fq(\001)1845 813 y Fy(\030)1885 778 y Fr(\003)1881
833 y Fv(m)p Fq(+\001)2069 813 y Fx(+)g Fy(I)2195 778
y Fr(\003)2188 833 y Fq(\001)2270 813 y Fy(\030)2306
825 y Fv(m)p Fq(+\001)2475 813 y Fx(\))h(+)f(\()p Fy(I)2677
825 y Fq(\001)2759 813 y Fy(\030)2795 825 y Fv(m)2877
813 y Fx(+)g Fy(I)3003 778 y Fr(\003)2996 833 y Fq(\001)3078
813 y Fy(\030)3118 778 y Fr(\003)3114 833 y Fv(m)3178
813 y Fx(\)])411 1109 y(+)591 1006 y Fq(\001)559 1031
y Fs(X)566 1209 y Fv(l)p Fq(=0)692 1109 y Fy(\032)735
1121 y Fv(l)784 1109 y Fy(\032)827 1121 y Fv(l)p Fr(\000)p
Fq(\001)959 1109 y Fx(\()p Fy(I)1027 1121 y Fq(\001)1109
1109 y Fy(\030)1149 1075 y Fr(\003)1145 1130 y Fv(l)1206
1109 y Fx(+)g Fy(I)1332 1075 y Fr(\003)1325 1130 y Fq(\001)1407
1109 y Fy(\030)1443 1121 y Fv(l)1469 1109 y Fx(\))h Fw(\000)f
Fy(\032)1646 1121 y Fq(0)1706 1109 y Fy(\032)1749 1121
y Fq(\001)1808 1109 y Fx(\()p Fy(\030)1876 1121 y Fq(0)1937
1109 y Fx(\()p Fy(I)2005 1121 y Fq(\001)2083 1109 y Fx(+)g
Fy(I)2209 1075 y Fr(\003)2202 1130 y Fq(\001)2261 1109
y Fx(\))g(+)h Fy(I)2431 1121 y Fq(\001)2513 1109 y Fy(\030)2553
1075 y Fr(\003)2549 1130 y Fq(\001)2626 1109 y Fx(+)f
Fy(I)2752 1075 y Fr(\003)2745 1130 y Fq(\001)2827 1109
y Fy(\030)2863 1121 y Fq(\001)2923 1109 y Fx(\))p Fw(g)411
1338 y Fx(=)83 b Fw(\000)p Fx(2)p Fy(\025)714 1267 y
Fs(p)p 796 1267 391 4 v 796 1338 a Fy(N)863 1350 y Fv(f)7
b(n)961 1338 y Fx(tanh)14 b Fy(\027)19 b Fx(tanh)14 b
Fy(\026)23 b Fw(f)p Fx(1)17 b(+)h(2)1694 1259 y Fs(X)1700
1438 y Fv(l>)p Fq(1)1827 1338 y Fy(e)1866 1304 y Fr(\000)p
Fq(\()p Fv(\027)t Fq(+2)p Fv(\026)p Fq(\))p Fv(l)2171
1338 y Fx(cos)13 b(\()p Fy('l)r Fx(\))411 1571 y(+)83
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y Fq(\001)559 1789 y Fs(X)566 1968 y Fv(l)p Fq(=0)692
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y Fx(cos)13 b(\()p Fy(P)1069 1880 y Fq(\001)1147 1868
y Fw(\000)18 b Fy('l)r Fx(\))h Fw(\000)f Fx(cos)13 b(\()p
Fy(P)1655 1880 y Fq(\001)1714 1868 y Fx(\))19 b Fw(\000)f
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y Fx(cos)13 b(\()p Fy(P)2258 1880 y Fq(\001)2336 1868
y Fw(\000)18 b Fy(')p Fx(\001\)])p Fw(g)46 b Fy(:)243
2125 y FB(S)27 b(o)n(vim)g(smo)g(za)n(vr\262ili)f(ra\243un)h(za)g
(tra\272eni)g(energetski)f(funk)n(cional,)h(jer)h(je)711
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2415 y Fy(>)2050 2358 y Fx(=)2204 2302 y(1)p 2147 2339
156 4 v 2147 2415 a Fy(N)9 b(or)2313 2358 y Fx(\()p Fy(E)2406
2370 y Fv(el)2482 2358 y Fx(+)18 b Fy(E)2626 2370 y Fv(f)7
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2684 y(k)n(o)5 b(je)27 b(smo)g(izv)n(eli)g(u)h(ra\243un)n(u)e
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3024 y Fx(\004)634 2989 y Fv(K)698 3024 y Fx(\(\001\))84
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2955 y Fw(j)1358 2893 y Fs(P)1446 2980 y Fv(j)1495 2955
y Fy(c)1531 2915 y Fr(y)1531 2978 y Fv(j)1565 2955 y
Fy(c)1601 2967 y Fv(j)1636 2955 y Fy(b)1672 2915 y Fr(y)1672
2979 y Fv(j)s Fq(+\001)1812 2955 y Fy(b)1848 2967 y Fv(j)s
Fq(+\001)2012 2955 y Fw(j)h Fx(\011)2123 2925 y Fv(K)2209
2955 y Fy(>)p 1073 3005 1202 4 v 1423 3081 a(<)f Fx(\011)1575
3057 y Fv(K)1662 3081 y Fw(j)h Fx(\011)1773 3057 y Fv(K)1860
3081 y Fy(>)915 3248 y Fx(=)1073 3192 y Fy(N)1140 3204
y Fv(f)7 b(n)1237 3192 y Fx(tanh)14 b Fy(\027)19 b Fx(tanh)14
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3169 y Fs(X)1770 3344 y Fv(n)1851 3248 y Fx([)p Fy(e)1913
3214 y Fr(\000)p Fq(2)p Fv(\026)p Fr(j)p Fv(n)p Fr(j)2146
3248 y Fy(e)2185 3214 y Fr(\000)p Fq(2)p Fv(\027)t Fr(j)p
Fv(n)p Fq(+\001)p Fr(j)915 3473 y Fx(+)83 b(2)1119 3394
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3485 y Fv(l)1363 3473 y Fy(e)1402 3438 y Fr(\000)p Fv(\026)p
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Fv(\026)p Fr(j)p Fv(n)p Fq(+)p Fv(l)p Fr(j)1913 3473
y Fy(e)1952 3438 y Fr(\000)p Fv(\027)t Fr(j)p Fv(n)p
Fq(+\001)p Fr(j)2254 3473 y Fy(e)2293 3438 y Fr(\000)p
Fv(\027)t Fr(j)p Fv(n)p Fq(+)p Fv(l)p Fq(+\001)p Fr(j)2658
3473 y Fx(cos)13 b(\()p Fy(P)2868 3485 y Fv(l)2912 3473
y Fw(\000)18 b Fy('l)r Fx(\)])46 b Fy(:)118 3778 y Fu(7.4)112
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b(energiju)h(u)g(dinami\243)m(k)m(o)6 b(j)28 b(aproksimaciji)118
3932 y FB(Sv)n(e)j(v)-5 b(arijacione)30 b(v)-5 b(alne)31
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n(k)n(o)5 b(j)24 b(aproksimaciji)f(dana)h(je)h(slijede\242im)g(reduk)n
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4425 y Fv(n)1353 4413 y Fx(:)221 b Fy(A)24 b(B)1750 4379
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4538 y Fw(!)23 b Fy(\016)2189 4550 y Fv(l;)p Fq(0)2290
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(o)e(dobiti,)37 b(iz)d(v)-5 b(arijacionog)32 b(izraza)h(za)h(energiju)f
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4820 y(energiju)27 b(u)h(dinami\243)n(k)n(o)5 b(j)26
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eop
%%Page: 50 50
50 49 bop 3578 -240 a FB(50)118 51 y Fu(7.5)112 b(Do)s(datak)39
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(me\236usobn)n(u)g(k)n(om)n(utativnost)g(op)r(eratora)e
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(\242i)g(oblik)118 303 y(p)r(olaronsk)n(e)k(v)-5 b(alne)27
b(funk)n(cije.)243 403 y(Ak)n(o)g(p)r(olaron)f(s)h(v)-5
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Fx(\))h(+)f Fy(!)2592 2095 y Fs(X)2636 2270 y Fv(q)2726
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2382 y(^)198 2403 y Fy(H)267 2415 y Fv(ph)367 2403 y
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(tak)n(o)h(da)h(bude)h(sv)n(o)5 b(jstv)n(eno)118 4347
y(stanje)35 b(impulsa,)h(ona)e(mora)f(biti)i(in)n(v)-5
b(arijan)n(tna)33 b(na)i(isto)n(vremen)n(u)e(prostorn)n(u)f(i)j
(vremensku)f(in)n(v)n(erziju.)57 b(T)-7 b(o)118 4447
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3227 y Fy(W)617 3239 y Fv(v)r(v)r(a)728 3227 y Fx(\()p
Fy(k)s(;)14 b(q)s Fx(\))83 b(=)g(\()p Fy(D)1247 3239
y Fv(q)r(;a)1358 3227 y Fw(\000)18 b Fy(L)1498 3239 y
Fv(q)r(;a)1590 3227 y Fx(\)\()p Fy(A)1716 3193 y Fr(\003)1716
3248 y Fv(k)q Fq(+)p Fv(q)r(;v)1896 3227 y Fy(B)1959
3239 y Fv(k)q(;v)2073 3227 y Fx(+)g Fy(B)2223 3193 y
Fr(\003)2219 3248 y Fv(k)q Fq(+)p Fv(q)r(;v)2399 3227
y Fy(A)2461 3239 y Fv(k)q(;v)2557 3227 y Fx(\))998 3370
y(+)83 b(\()p Fy(D)1247 3382 y Fv(q)r(;a)1358 3370 y
Fw(\000)18 b Fy(L)1498 3382 y Fv(q)r(;a)1590 3370 y Fy(e)1629
3336 y Fv(iq)r(a)1725 3370 y Fx(\)\()p Fy(B)1856 3336
y Fr(\003)1852 3391 y Fv(k)q Fq(+)p Fv(q)r(;v)2032 3370
y Fy(A)2094 3382 y Fv(k)q(;v)2190 3370 y Fy(e)2229 3336
y Fv(ik)q(a)2347 3370 y Fx(+)g Fy(A)2492 3336 y Fr(\003)2492
3391 y Fv(k)q Fq(+)p Fv(q)r(;v)2672 3370 y Fy(B)2735
3382 y Fv(k)q(;v)2831 3370 y Fy(e)2870 3336 y Fr(\000)p
Fv(i)p Fq(\()p Fv(k)q Fq(+)p Fv(q)r Fq(\))p Fv(a)3157
3370 y Fx(\))542 3495 y Fy(W)620 3507 y Fv(v)r(v)r(o)728
3495 y Fx(\()p Fy(k)s(;)c(q)s Fx(\))83 b(=)g(\()p Fy(D)1247
3507 y Fv(q)r(;o)1355 3495 y Fw(\000)18 b Fy(L)1495 3507
y Fv(q)r(;o)1583 3495 y Fx(\)\()p Fy(A)1709 3461 y Fr(\003)1709
3515 y Fv(k)q Fq(+)p Fv(q)r(;v)1890 3495 y Fy(B)1953
3507 y Fv(k)q(;v)2067 3495 y Fx(+)g Fy(B)2217 3461 y
Fr(\003)2213 3515 y Fv(k)q Fq(+)p Fv(q)r(;v)2392 3495
y Fy(A)2454 3507 y Fv(k)q(;v)2550 3495 y Fx(\))998 3638
y(+)83 b(\()p Fy(D)1247 3650 y Fv(q)r(;o)1355 3638 y
Fw(\000)18 b Fy(L)1495 3650 y Fv(q)r(;o)1583 3638 y Fy(e)1622
3603 y Fv(iq)r(a)1718 3638 y Fx(\)\()p Fy(B)1849 3603
y Fr(\003)1845 3658 y Fv(k)q Fq(+)p Fv(q)r(;v)2025 3638
y Fy(A)2087 3650 y Fv(k)q(;v)2183 3638 y Fy(e)2222 3603
y Fv(ik)q(a)2341 3638 y Fx(+)g Fy(A)2486 3603 y Fr(\003)2486
3658 y Fv(k)q Fq(+)p Fv(q)r(;v)2665 3638 y Fy(B)2728
3650 y Fv(k)q(;v)2824 3638 y Fy(e)2863 3603 y Fr(\000)p
Fv(i)p Fq(\()p Fv(k)q Fq(+)p Fv(q)r Fq(\))p Fv(a)3150
3638 y Fx(\))550 3762 y Fy(W)628 3774 y Fv(cca)728 3762
y Fx(\()p Fy(k)s(;)c(q)s Fx(\))83 b(=)g(\()p Fy(D)1247
3774 y Fv(q)r(;a)1358 3762 y Fw(\000)18 b Fy(L)1498 3774
y Fv(q)r(;a)1590 3762 y Fx(\)\()p Fy(A)1716 3728 y Fr(\003)1716
3783 y Fv(k)q Fq(+)p Fv(q)r(;c)1890 3762 y Fy(B)1953
3774 y Fv(k)q(;c)2062 3762 y Fx(+)g Fy(B)2212 3728 y
Fr(\003)2208 3783 y Fv(k)q Fq(+)p Fv(q)r(;c)2382 3762
y Fy(A)2444 3774 y Fv(k)q(;c)2534 3762 y Fx(\))998 3905
y(+)83 b(\()p Fy(D)1247 3917 y Fv(q)r(;a)1358 3905 y
Fw(\000)18 b Fy(L)1498 3917 y Fv(q)r(;a)1590 3905 y Fy(e)1629
3871 y Fv(iq)r(a)1725 3905 y Fx(\)\()p Fy(B)1856 3871
y Fr(\003)1852 3926 y Fv(k)q Fq(+)p Fv(q)r(;c)2026 3905
y Fy(A)2088 3917 y Fv(k)q(;c)2178 3905 y Fy(e)2217 3871
y Fv(ik)q(a)2336 3905 y Fx(+)g Fy(A)2481 3871 y Fr(\003)2481
3926 y Fv(k)q Fq(+)p Fv(q)r(;c)2655 3905 y Fy(B)2718
3917 y Fv(k)q(;c)2808 3905 y Fy(e)2847 3871 y Fr(\000)p
Fv(i)p Fq(\()p Fv(k)q Fq(+)p Fv(q)r Fq(\))p Fv(a)3134
3905 y Fx(\))553 4030 y Fy(W)631 4042 y Fv(cco)728 4030
y Fx(\()p Fy(k)s(;)c(q)s Fx(\))83 b(=)g(\()p Fy(D)1247
4042 y Fv(q)r(;o)1355 4030 y Fw(\000)18 b Fy(L)1495 4042
y Fv(q)r(;o)1583 4030 y Fx(\)\()p Fy(A)1709 3995 y Fr(\003)1709
4050 y Fv(k)q Fq(+)p Fv(q)r(;c)1884 4030 y Fy(B)1947
4042 y Fv(k)q(;c)2056 4030 y Fx(+)g Fy(B)2206 3995 y
Fr(\003)2202 4050 y Fv(k)q Fq(+)p Fv(q)r(;c)2375 4030
y Fy(A)2437 4042 y Fv(k)q(;c)2528 4030 y Fx(\))998 4173
y(+)83 b(\()p Fy(D)1247 4185 y Fv(q)r(;o)1355 4173 y
Fw(\000)18 b Fy(L)1495 4185 y Fv(q)r(;o)1583 4173 y Fy(e)1622
4138 y Fv(iq)r(a)1718 4173 y Fx(\)\()p Fy(B)1849 4138
y Fr(\003)1845 4193 y Fv(k)q Fq(+)p Fv(q)r(;c)2019 4173
y Fy(A)2081 4185 y Fv(k)q(;c)2172 4173 y Fy(e)2211 4138
y Fv(ik)q(a)2329 4173 y Fx(+)g Fy(A)2474 4138 y Fr(\003)2474
4193 y Fv(k)q Fq(+)p Fv(q)r(;c)2648 4173 y Fy(B)2711
4185 y Fv(k)q(;c)2802 4173 y Fy(e)2841 4138 y Fr(\000)p
Fv(i)p Fq(\()p Fv(k)q Fq(+)p Fv(q)r Fq(\))p Fv(a)3128
4173 y Fx(\))545 4297 y Fy(W)623 4309 y Fv(cv)r(a)728
4297 y Fx(\()p Fy(k)s(;)c(q)s Fx(\))83 b(=)g(\()p Fy(D)1247
4309 y Fv(q)r(;a)1358 4297 y Fw(\000)18 b Fy(L)1498 4309
y Fv(q)r(;a)1590 4297 y Fx(\)\()p Fy(A)1716 4263 y Fr(\003)1716
4318 y Fv(k)q Fq(+)p Fv(q)r(;c)1890 4297 y Fy(B)1953
4309 y Fv(k)q(;v)2068 4297 y Fx(+)g Fy(B)2218 4263 y
Fr(\003)2214 4318 y Fv(k)q Fq(+)p Fv(q)r(;c)2387 4297
y Fy(A)2449 4309 y Fv(k)q(;v)2546 4297 y Fx(\))998 4440
y(+)83 b(\()p Fy(D)1247 4452 y Fv(q)r(;a)1358 4440 y
Fw(\000)18 b Fy(L)1498 4452 y Fv(q)r(;a)1590 4440 y Fy(e)1629
4406 y Fv(iq)r(a)1725 4440 y Fx(\)\()p Fy(B)1856 4406
y Fr(\003)1852 4461 y Fv(k)q Fq(+)p Fv(q)r(;c)2026 4440
y Fy(A)2088 4452 y Fv(k)q(;v)2184 4440 y Fy(e)2223 4406
y Fv(ik)q(a)2342 4440 y Fx(+)g Fy(A)2487 4406 y Fr(\003)2487
4461 y Fv(k)q Fq(+)p Fv(q)r(;c)2661 4440 y Fy(B)2724
4452 y Fv(k)q(;v)2819 4440 y Fy(e)2858 4406 y Fr(\000)p
Fv(i)p Fq(\()p Fv(k)q Fq(+)p Fv(q)r Fq(\))p Fv(a)3146
4440 y Fx(\))548 4565 y Fy(W)626 4577 y Fv(cv)r(o)728
4565 y Fx(\()p Fy(k)s(;)c(q)s Fx(\))83 b(=)g(\()p Fy(D)1247
4577 y Fv(q)r(;o)1355 4565 y Fw(\000)18 b Fy(L)1495 4577
y Fv(q)r(;o)1583 4565 y Fx(\)\()p Fy(A)1709 4530 y Fr(\003)1709
4585 y Fv(k)q Fq(+)p Fv(q)r(;c)1884 4565 y Fy(B)1947
4577 y Fv(k)q(;v)2061 4565 y Fx(+)g Fy(B)2211 4530 y
Fr(\003)2207 4585 y Fv(k)q Fq(+)p Fv(q)r(;c)2381 4565
y Fy(A)2443 4577 y Fv(k)q(;v)2539 4565 y Fx(\))998 4707
y(+)83 b(\()p Fy(D)1247 4719 y Fv(q)r(;o)1355 4707 y
Fw(\000)18 b Fy(L)1495 4719 y Fv(q)r(;o)1583 4707 y Fy(e)1622
4673 y Fv(iq)r(a)1718 4707 y Fx(\)\()p Fy(B)1849 4673
y Fr(\003)1845 4728 y Fv(k)q Fq(+)p Fv(q)r(;c)2019 4707
y Fy(A)2081 4719 y Fv(k)q(;v)2178 4707 y Fy(e)2217 4673
y Fv(ik)q(a)2335 4707 y Fx(+)g Fy(A)2480 4673 y Fr(\003)2480
4728 y Fv(k)q Fq(+)p Fv(q)r(;c)2654 4707 y Fy(B)2717
4719 y Fv(k)q(;v)2813 4707 y Fy(e)2852 4673 y Fr(\000)p
Fv(i)p Fq(\()p Fv(k)q Fq(+)p Fv(q)r Fq(\))p Fv(a)3139
4707 y Fx(\))545 4832 y Fy(W)623 4844 y Fv(v)r(ca)728
4832 y Fx(\()p Fy(k)s(;)c(q)s Fx(\))83 b(=)g(\()p Fy(D)1247
4844 y Fv(q)r(;a)1358 4832 y Fw(\000)18 b Fy(L)1498 4844
y Fv(q)r(;a)1590 4832 y Fx(\)\()p Fy(A)1716 4798 y Fr(\003)1716
4853 y Fv(k)q Fq(+)p Fv(q)r(;v)1896 4832 y Fy(B)1959
4844 y Fv(k)q(;c)2068 4832 y Fx(+)g Fy(B)2218 4798 y
Fr(\003)2214 4853 y Fv(k)q Fq(+)p Fv(q)r(;v)2393 4832
y Fy(A)2455 4844 y Fv(k)q(;c)2546 4832 y Fx(\))998 4975
y(+)83 b(\()p Fy(D)1247 4987 y Fv(q)r(;a)1358 4975 y
Fw(\000)18 b Fy(L)1498 4987 y Fv(q)r(;a)1590 4975 y Fy(e)1629
4941 y Fv(iq)r(a)1725 4975 y Fx(\)\()p Fy(B)1856 4941
y Fr(\003)1852 4995 y Fv(k)q Fq(+)p Fv(q)r(;v)2032 4975
y Fy(A)2094 4987 y Fv(k)q(;c)2184 4975 y Fy(e)2223 4941
y Fv(ik)q(a)2342 4975 y Fx(+)g Fy(A)2487 4941 y Fr(\003)2487
4995 y Fv(k)q Fq(+)p Fv(q)r(;v)2666 4975 y Fy(B)2729
4987 y Fv(k)q(;c)2819 4975 y Fy(e)2858 4941 y Fr(\000)p
Fv(i)p Fq(\()p Fv(k)q Fq(+)p Fv(q)r Fq(\))p Fv(a)3146
4975 y Fx(\))548 5099 y Fy(W)626 5111 y Fv(v)r(co)728
5099 y Fx(\()p Fy(k)s(;)c(q)s Fx(\))83 b(=)g(\()p Fy(D)1247
5111 y Fv(q)r(;o)1355 5099 y Fw(\000)18 b Fy(L)1495 5111
y Fv(q)r(;o)1583 5099 y Fx(\)\()p Fy(A)1709 5065 y Fr(\003)1709
5120 y Fv(k)q Fq(+)p Fv(q)r(;v)1890 5099 y Fy(B)1953
5111 y Fv(k)q(;c)2061 5099 y Fx(+)g Fy(B)2211 5065 y
Fr(\003)2207 5120 y Fv(k)q Fq(+)p Fv(q)r(;v)2387 5099
y Fy(A)2449 5111 y Fv(k)q(;c)2539 5099 y Fx(\))998 5242
y(+)83 b(\()p Fy(D)1247 5254 y Fv(q)r(;o)1355 5242 y
Fw(\000)18 b Fy(L)1495 5254 y Fv(q)r(;o)1583 5242 y Fy(e)1622
5208 y Fv(iq)r(a)1718 5242 y Fx(\)\()p Fy(B)1849 5208
y Fr(\003)1845 5263 y Fv(k)q Fq(+)p Fv(q)r(;v)2025 5242
y Fy(A)2087 5254 y Fv(k)q(;c)2178 5242 y Fy(e)2217 5208
y Fv(ik)q(a)2335 5242 y Fx(+)g Fy(A)2480 5208 y Fr(\003)2480
5263 y Fv(k)q Fq(+)p Fv(q)r(;v)2660 5242 y Fy(B)2723
5254 y Fv(k)q(;c)2813 5242 y Fy(e)2852 5208 y Fr(\000)p
Fv(i)p Fq(\()p Fv(k)q Fq(+)p Fv(q)r Fq(\))p Fv(a)3139
5242 y Fx(\))47 b Fy(:)243 5550 y FB(Analizira)5 b(jmo)26
b(slijede\242e)h(izraze)g(s)g(elektronskim)g(k)n(o)r(e\034cijen)n(tima)
1442 5832 y Fx(\003)1500 5844 y Fv(k)1623 5832 y Fx(=)83
b(\(cos)13 b Fy(k)s(d)19 b Fw(\000)f Fy(i)c Fx(sin)f
Fy(k)s(d)p Fx(\)\(2\001)h(cos)f Fy(k)s(d)19 b Fx(+)f
Fy(i)p Fx(2)p Fy(t)2972 5844 y Fq(0)3022 5832 y Fx(sin)c
Fy(k)s(d)p Fx(\))p eop
%%Page: 54 54
54 53 bop 3578 -240 a FB(54)1623 51 y Fx(=)83 b(2\001)14
b(cos)2007 16 y Fq(2)2058 51 y Fy(k)s(d)k Fx(+)g(2)p
Fy(t)2320 63 y Fq(0)2371 51 y Fx(sin)2473 16 y Fq(2)2524
51 y Fy(k)s(d)g Fx(+)g Fy(i)p Fx(\()p Fy(t)2805 63 y
Fq(0)2861 51 y Fw(\000)g Fx(\001\)2)c(sin)f Fy(k)s(d)h
Fx(cos)f Fy(k)s(d)1623 175 y Fx(=)83 b Fy(R)1834 187
y Fv(k)1898 175 y Fy(e)1937 141 y Fv(i\015)1995 150 y
Fh(k)1323 339 y Fx(tan)13 b Fy(\015)1499 351 y Fv(k)1623
339 y Fx(=)83 b(tan)14 b Fy(k)s(d)2175 283 y(t)2205 295
y Fq(0)2242 283 y Fy(=)p Fx(\001)19 b Fw(\000)f Fx(1)p
2027 320 618 4 v 2027 398 a(1)g(+)g Fy(t)2200 410 y Fq(0)2237
398 y Fy(=)p Fx(\001)37 b(tan)2504 368 y Fq(2)2556 398
y Fy(k)s(d)1260 588 y Fx(\003)1318 600 y Fv(k)1358 588
y Fx(\003)1416 600 y Fv(k)q Fq(+)p Fv(q)1623 588 y Fx(=)83
b Fy(e)1810 554 y Fr(\000)p Fv(i)p Fq(\(2)p Fv(k)q Fq(+)p
Fv(q)r Fq(\))p Fv(d)2152 588 y Fx([\001)2244 600 y Fv(k)2285
588 y Fx(\001)2354 600 y Fv(k)q Fq(+)p Fv(q)2497 588
y Fw(\000)18 b Fy(t)2610 600 y Fv(k)2651 588 y Fy(t)2681
600 y Fv(k)q Fq(+)p Fv(q)2824 588 y Fx(+)g Fy(i)p Fx(\()p
Fy(t)2998 600 y Fv(k)3038 588 y Fx(\001)3107 600 y Fv(k)q
Fq(+)p Fv(q)3250 588 y Fx(+)g Fy(t)3363 600 y Fv(k)q
Fq(+)p Fv(q)3488 588 y Fx(\001)3557 600 y Fv(k)3598 588
y Fx(\)])1393 713 y Fy(')1447 725 y Fv(k)q(;q)1623 713
y Fx(=)83 b(\(2)p Fy(k)21 b Fx(+)d Fy(q)s Fx(\))p Fy(d)910
837 y Fx(\001)979 849 y Fv(k)1020 837 y Fx(\001)1089
849 y Fv(k)q Fq(+)p Fv(q)1232 837 y Fw(\000)g Fy(t)1345
849 y Fv(k)1386 837 y Fy(t)1416 849 y Fv(k)q Fq(+)p Fv(q)1623
837 y Fx(=)83 b(4\001)1882 803 y Fq(2)1933 837 y Fx(cos)13
b Fy(')2112 849 y Fv(k)q(;q)2224 837 y Fw(\000)18 b Fx(4[)p
Fy(t)2402 803 y Fq(2)2402 858 y(0)2457 837 y Fw(\000)g
Fx(\001)2609 803 y Fq(2)2646 837 y Fx(])c(sin)g Fy(k)s(d)37
b Fx(sin)14 b(\()p Fy(k)21 b Fx(+)d Fy(q)s Fx(\))p Fy(d)910
962 y(t)940 974 y Fv(k)981 962 y Fx(\001)1050 974 y Fv(k)q
Fq(+)p Fv(q)1193 962 y Fx(+)g Fy(t)1306 974 y Fv(k)q
Fq(+)p Fv(q)1430 962 y Fx(\001)1499 974 y Fv(k)1623 962
y Fx(=)83 b(4)p Fy(t)1843 974 y Fq(0)1880 962 y Fx(\001)14
b(sin)f Fy(')1146 1126 y Fs(s)p 1229 1126 312 4 v 1244
1215 a Fx(\003)1302 1227 y Fv(k)1343 1215 y Fx(\003)1401
1227 y Fv(k)q Fq(+)p Fv(q)p 1239 1252 292 4 v 1239 1328
a Fy(R)1302 1340 y Fv(k)1343 1328 y Fy(R)1406 1340 y
Fv(k)q Fq(+)p Fv(q)1623 1271 y Fx(=)83 b Fy(e)1810 1237
y Fr(\000)p Fv(i')1929 1246 y Fh(k)q(;q)2017 1271 y Fy(e)2056
1237 y Fv(i)p Fq(\002)2130 1246 y Fh(k)q(;q)1249 1524
y Fx(tan)14 b(\002)1448 1536 y Fv(k)q(;q)1623 1524 y
Fx(=)1782 1467 y Fy(t)1812 1479 y Fq(0)p 1781 1505 70
4 v 1781 1581 a Fx(\001)1897 1524 y(tan)g Fy(')2085 1536
y Fv(k)q(;q)2298 1467 y Fx(1)k Fw(\000)g Fx(tan)c Fy(k)s(d)37
b Fx(tan)14 b(\()p Fy(k)21 b Fx(+)d Fy(q)s Fx(\))p Fy(d)p
2211 1505 1007 4 v 2211 1584 a Fx(1)g Fw(\000)g Fx([)2387
1550 y Fv(t)2412 1558 y Fg(0)p 2387 1565 58 4 v 2388
1613 a Fq(\001)2455 1584 y Fx(])2478 1560 y Fq(2)2529
1584 y Fx(tan)13 b Fy(k)s(d)37 b Fx(tan)14 b(\()p Fy(k)22
b Fx(+)c Fy(q)s Fx(\))p Fy(d)638 1916 y(A)700 1881 y
Fr(\003)700 1936 y Fv(k)q Fq(+)p Fv(q)r(;v)880 1916 y
Fy(B)943 1928 y Fv(k)q(;v)1057 1916 y Fx(+)g Fy(B)1207
1881 y Fr(\003)1203 1936 y Fv(k)q Fq(+)p Fv(q)r(;v)1382
1916 y Fy(A)1444 1928 y Fv(k)q(;v)1623 1916 y Fx(=)1781
1859 y(1)p 1781 1897 42 4 v 1781 1973 a(2)1832 1916 y([)p
Fy(e)1894 1881 y Fr(\000)p Fv(i\015)2004 1890 y Fh(k)2063
1916 y Fx(+)g Fy(e)2185 1881 y Fv(i\015)2243 1890 y Fh(k)q
Fg(+)p Fh(q)2355 1916 y Fx(])23 b(=)2499 1859 y(1)p 2499
1897 V 2499 1973 a(2)2573 1916 y Fy(V)2621 1928 y Fq(1)2659
1916 y Fx(\()p Fy(k)s(;)14 b(q)s Fx(\))127 2132 y Fy(B)194
2098 y Fr(\003)190 2153 y Fv(k)q Fq(+)p Fv(q)r(;v)369
2132 y Fy(A)431 2144 y Fv(k)q(;v)550 2132 y Fy(e)589
2098 y Fv(ik)q(a)708 2132 y Fx(+)k Fy(A)853 2098 y Fr(\003)853
2153 y Fv(k)q Fq(+)p Fv(q)r(;v)1032 2132 y Fy(B)1095
2144 y Fv(k)q(;v)1214 2132 y Fy(e)1253 2098 y Fr(\000)p
Fv(i)p Fq(\()p Fv(k)q Fq(+)p Fv(q)r Fq(\))p Fv(a)1623
2132 y Fx(=)1781 2076 y Fy(e)1820 2046 y Fr(\000)p Fv(iq)r(d)p
1781 2113 186 4 v 1853 2189 a Fx(2)1976 2132 y([)p Fy(e)2038
2098 y Fv(i)p Fq(\()p Fv(')2131 2107 y Fh(k)q(;q)2215
2098 y Fq(+)p Fv(\015)2301 2107 y Fh(k)q Fg(+)p Fh(q)2409
2098 y Fq(\))2457 2132 y Fx(+)g Fy(e)2579 2098 y Fr(\000)p
Fv(i)p Fq(\()p Fv(')2724 2107 y Fh(k)q(;q)2808 2098 y
Fq(+)p Fv(\015)2894 2107 y Fh(k)2930 2098 y Fq(\))2960
2132 y Fx(])1623 2349 y(=)1781 2293 y Fy(e)1820 2263
y Fr(\000)p Fv(iq)r(d)p 1781 2330 V 1853 2406 a Fx(2)1999
2349 y Fy(V)2047 2361 y Fq(2)2085 2349 y Fx(\()p Fy(k)s(;)c(q)s
Fx(\))660 2549 y Fy(A)722 2515 y Fr(\003)722 2570 y Fv(k)q
Fq(+)p Fv(q)r(;c)896 2549 y Fy(B)959 2561 y Fv(k)q(;c)1068
2549 y Fx(+)k Fy(B)1218 2515 y Fr(\003)1214 2570 y Fv(k)q
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