%!PS-Adobe-2.0 %%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software %%Title: plbcal5.dvi %%Pages: 14 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips plbcal5.dvi %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2004.05.13:0926 %%BeginProcSet: texc.pro %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3 1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{ rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B /chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{ /cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{ A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse} ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17 {2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{ 1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop} forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet TeXDict begin 39158280 55380996 1000 600 600 (plbcal5.dvi) @start %DVIPSBitmapFont: Fa cmsy6 6 1 /Fa 1 1 df0 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fb cmex10 10 4 /Fb 4 90 df80 DI88 DI E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fc cmr6 6 6 /Fc 6 62 df<1438B2B712FEA3C70038C7FCB227277C9F2F>43 D<13FF000313C0380781 E0380F00F0001E137848133CA248131EA400F8131FAD0078131EA2007C133E003C133CA2 6C13786C13F0380781E03803FFC0C6130018227DA01E>48 D<13E01201120712FF12F912 01B3A7487EB512C0A212217AA01E>II<13FF 000313C0380F03E0381C00F014F8003E13FC147CA2001E13FC120CC712F8A2EB01F0EB03 E0EB0FC03801FF00A2380003E0EB00F01478147C143E143F1230127812FCA2143E48137E 0060137C003813F8381E03F0380FFFC00001130018227DA01E>I61 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fd cmmi6 6 9 /Fd 9 110 df11 D<150E0007141F1206120E48140F121848140714C0 D8600113061303A3EC800CEAE007EC0018153838F00F8039701FC0F0007FB512E001F913 C0EA3FF1D81FE01300380F803E20177E9527>33 D<127812FCA212FEA2127E1206A3120C A2121C121812301260124007107A8513>59 D<90B6FC16E0903907C003F8ED00FC494813 3E161E161FEE0F8049C7FCA317C0133EA4491580161FA21700495CA2163E5E485A5E4B5A 4B5A4848495A4B5A033EC7FC0007EB01F8B612E092C8FC2A227CA132>68 D78 D<1338137CA2137813701300A7EA 0780EA1FC0EA38E01230EA60F0EAC1E0A3EA03C0A3EA0780A2EA0F0013041306EA1E0CA2 1318121CEA1E70EA0FE0EA07800F237DA116>105 D<1418143C147CA214381400A7EB07 80EB1FE01338EB60F013C0A2EA0180A2380001E0A4EB03C0A4EB0780A4EB0F00A4131EA2 1238EA783CEAF8381378EA70F0EA7FC0001FC7FC162D81A119>I<13F8EA0FF0A21200A2 485AA4485AA43807801E147FEB81C3EB8387380F060F495A1318EB700E4848C7FCA213FC EA1E7EEA3C0F80EB0781158039780F0300A21402EB070600F0138CEB03F8386000F01924 7CA221>I<000F017E13FC3A1F81FF83FF3B31C383C707803A61EE03CC039026EC01F813 C0D8C1F813F013F001E013E00003903903C0078013C0A2EE0F003907800780A2EE1E0417 06270F000F00130C163C1718A2001E011EEB1C70EE1FE0000C010CEB07802F177D9536> 109 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fe cmsy8 8 5 /Fe 5 115 df0 D<140381B3A3B812FCA3C7D80380C7FCB3B812 FCA32E2F7CAD37>6 DI54 D114 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Ff cmsy10 12 18 /Ff 18 115 df<007FB912E0BA12F0A26C18E03C04789A4D>0 D<121FEA3F80EA7FC0EA FFE0A5EA7FC0EA3F80EA1F000B0B789E1C>I<16C04B7EB3AC007FBA1280BB12C0A26C19 80C8D801E0C9FCB3A9007FBA1280BB12C0A26C198042427BC14D>6 D<007FBA1280BB12C0A26C1980C8D801E0C9FCB3A9007FBA1280BB12C0A26C1980C8D801 E0C9FCB3AC6F5A42427BB14D>I<007FBA1280BB12C0A26C1980CEFCB0007FBA1280BB12 C0A26C1980CEFCB0007FBA1280BB12C0A26C1980422C7BAE4D>17 D<19E0F003F0180FF03FE0F0FF80943803FE00EF0FF8EF3FE0EFFF80DC03FEC7FCEE0FF8 EE3FE0EEFF80DB03FEC8FCED1FF8ED7FE0913801FF80DA07FEC9FCEC1FF0EC7FC04948CA FCEB07FCEB1FF0EB7FC04848CBFCEA07FCEA1FF0EA7FC048CCFCA2EA7FC0EA1FF0EA07FC EA01FF38007FC0EB1FF0EB07FCEB01FF9038007FC0EC1FF0EC07FC913801FF809138007F E0ED1FF8ED07FE923800FF80EE3FE0EE0FF8EE03FE933800FF80EF3FE0EF0FF8EF03FE94 3800FF80F03FE0F00FF01803F000E01900B0007FB912E0BA12F0A26C18E03C4E78BE4D> 20 D<1AF0A3861A78A21A7C1A3CA21A3E1A1E1A1F747EA2747E747E87747E747E1B7E87 757EF30FE0F303F8007FBC12FEBE1280A26CF3FE00CEEA03F8F30FE0F31F8051C7FC1B7E 63505A505A63505A505AA250C8FC1A1E1A3E1A3CA21A7C1A78A21AF862A359347BB264> 33 D36 D47 D<1706170F171FA2173EA2177CA217F8A2EE01F0A2EE03E0A2EE07C0A2 EE0F80A2EE1F00A2163EA25EA25EA24B5AA24B5AA24B5AA24B5AA24BC7FCA2153EA25DA2 5DA24A5AA24A5AA24A5AA24A5AA24AC8FCA2143EA25CA25CA2495AA2495AA2495AA2495A A249C9FCA2133EA25BA25BA2485AA2485AA2485AA2485AA248CAFCA2123EA25AA25AA25A 1260305C72C600>54 D<0060171800F0173C6C177CA200781778007C17F8A2003C17F000 3E1601A26CEE03E0A26C17C06D1507A2000717806D150FA26C6CED1F00A20001161E6D15 3EA20000163C90B712FCA26D5DA2013CC85A013E1401A2011E5D011F1403A26D5D6E1307 A26D6C495AA2010392C7FC6E5BA20101141E6E133EA26D6C5BA202781378027C13F8A202 3C5BEC3E01A26E485AA2020F5B1587A202075B15CFA26EB4C8FCA26E5AA36E5AA3157815 30364780C437>56 D102 D<12FEEAFFE0EA07F8EA00FEEB7F806D7E6D7E130F6D7EA26D7EB3AD6D7EA2 6D7E806E7E6E7EEC0FE0EC03FC913800FFE0A2913803FC00EC0FE0EC3FC04A5A4AC7FC5C 495AA2495AB3AD495AA2495A131F495A495A01FEC8FCEA07F8EAFFE048C9FC236479CA32 >I<140C141E143EA2143C147CA214F8A214F01301A2EB03E0A214C01307A2EB0F80A214 005BA2133EA2133C137CA2137813F8A2485AA25B1203A2485AA25B120FA248C7FCA2121E 123EA25AA2127812F8A41278127CA27EA2121E121FA26C7EA212077FA26C7EA212017FA2 6C7EA21378137CA2133C133EA27FA27F1480A2EB07C0A2130314E0A2EB01F0A2130014F8 A2147CA2143C143EA2141E140C176476CA27>I<126012F07EA21278127CA27EA2121E12 1FA26C7EA212077FA26C7EA212017FA26C7EA21378137CA2133C133EA27FA27F1480A2EB 07C0A2130314E0A2EB01F0A2130014F8A2147CA2143C143EA4143C147CA214F8A214F013 01A2EB03E0A214C01307A2EB0F80A214005BA2133EA2133C137CA2137813F8A2485AA25B 1203A2485AA25B120FA248C7FCA2121E123EA25AA2127812F8A25A126017647BCA27>I< 126012F0B3B3B3B3B3A81260046474CA1C>I<1B0C1B1E1B3EA21B7CA21BF8A2F201F0A2 F203E0A2F207C0A2F20F80A2F21F00A21A3EA262A262A24F5AA2621903A24F5AA24F5AA2 4FC7FCA2193EA261A261A24E5AA24E5AA24E5AA24E5AA2010C4CC8FC133C017C163EEA01 FE00035F487E001E5F00387FD8707F4B5A00E07FD8003F4B5A80011F4B5AA26E4A5A130F 6E4AC9FC13076E143E13036E5C13016E5C7F6F5B027F1301A26F485A143F6F485A141F6F 485A140F6F48CAFC1407EDFC3E14035E15FE02015B15FF6E5BA26F5AA26F5AA26F5AA26F CBFC150E4F647A8353>112 D114 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fg cmbx12 17.28 31 /Fg 31 119 df45 D<16F04B7E1507151F153FEC01FF1407147F 010FB5FCB7FCA41487EBF007C7FCB3B3B3B3007FB91280A6395E74DD51>49 D<913801FFF8021FEBFFC091B612F8010315FF010F16C0013F8290267FFC0114F89027FF E0003F7F4890C7000F7F48486E7FD807F86E148048486E14C048486E14E048486F13F001 FC17F8486C816D17FC6E80B56C16FE8380A219FFA283A36C5BA26C5B6C90C8FCD807FC5D EA01F0CA14FEA34D13FCA219F85F19F04D13E0A294B512C019804C14004C5B604C5B4C5B 604C13804C90C7FC4C5A4C5A4B13F05F4B13804B90C8FC4B5AED1FF84B5A4B5A4B48143F 4A5B4A48C8FC4A5A4A48157E4A5A4A5AEC7F8092C9FC02FE16FE495A495A4948ED01FCD9 0FC0150749B8FC5B5B90B9FC5A4818F85A5A5A5A5ABAFCA219F0A4405E78DD51>I<92B5 FC020F14F8023F14FF49B712C04916F0010FD9C01F13FC90271FFC00077FD93FE001017F 49486D8049C86C7F484883486C6F7F14C0486D826E806E82487FA4805CA36C5E4A5E6C5B 6C5B6C495E011FC85A90C95CA294B55A614C91C7FC604C5B4C5B4C5B4C5B047F13809226 0FFFFEC8FC020FB512F817E094C9FC17F817FF91C7003F13E0040713F8040113FE707F71 7F7113E085717FA2717F85A285831A80A31AC0EA03FCEA0FFF487F487F487FA2B57EA31A 80A34D14005C7E4A5E5F6C495E49C8485BD81FF85F000F5ED807FE92B55A6C6C6C491480 6C01F0010791C7FC6C9026FF803F5B6D90B65A011F16F0010716C001014BC8FCD9001F14 F0020149C9FC426079DD51>II65 D<4DB5ED03C0057F02F014070407B600FE140F047FDBFFC0131F4BB800F0133F030F05FC 137F033F9127F8007FFE13FF92B6C73807FF814A02F0020113C3020702C09138007FE74A 91C9001FB5FC023F01FC16074A01F08291B54882490280824991CB7E4949844949844949 8449865D49498490B5FC484A84A2484A84A24891CD127FA25A4A1A3F5AA348491A1FA448 99C7FCA25CA3B5FCB07EA380A27EA2F50FC0A26C7FA37E6E1A1F6C1D80A26C801D3F6C6E 1A00A26C6E616D1BFE6D7F6F4E5A7F6D6D4E5A6D6D4E5A6D6D4E5A6D6E171F6D02E04D5A 6E6DEFFF806E01FC4C90C7FC020F01FFEE07FE6E02C0ED1FF8020102F8ED7FF06E02FF91 3803FFE0033F02F8013F1380030F91B648C8FC030117F86F6C16E004071680DC007F02F8 C9FC050191CAFC626677E375>67 D70 D72 DI76 D82 D<913803FFFE027FEBFFF00103B612FE010F6F7E4916E090273FFE001F7FD97FE001077F D9FFF801017F486D6D7F717E486D6E7F85717FA2717FA36C496E7FA26C5B6D5AEB1FC090 C9FCA74BB6FC157F0207B7FC147F49B61207010F14C0013FEBFE004913F048B512C04891 C7FC485B4813F85A5C485B5A5CA2B55AA45FA25F806C5E806C047D7F6EEB01F96C6DD903 F1EBFF806C01FED90FE114FF6C9027FFC07FC01580000191B5487E6C6C4B7E011F02FC13 0F010302F001011400D9001F90CBFC49437CC14E>97 D<903807FF80B6FCA6C6FC7F7FB3 A8EFFFF8040FEBFF80047F14F00381B612FC038715FF038F010014C0DBBFF0011F7FDBFF C001077F93C76C7F4B02007F03F8824B6F7E4B6F13804B17C0851BE0A27313F0A21BF8A3 7313FCA41BFEAE1BFCA44F13F8A31BF0A24F13E0A24F13C06F17804F1300816F4B5A6F4A 5B4AB402075B4A6C6C495B9126F83FE0013F13C09127F00FFC03B55A4A6CB648C7FCDAC0 0115F84A6C15E091C7001F91C8FC90C8000313E04F657BE35A>I<92380FFFF04AB67E02 0F15F0023F15FC91B77E01039039FE001FFF4901F8010113804901E0010713C049018049 13E0017F90C7FC49484A13F0A2485B485B5A5C5A7113E0485B7113C048701380943800FE 0095C7FC485BA4B5FCAE7EA280A27EA2806C18FCA26C6D150119F87E6C6D15036EED07F0 6C18E06C6D150F6D6DEC1FC06D01E0EC7F806D6DECFF00010701FCEB03FE6D9039FFC03F FC010091B512F0023F5D020F1580020102FCC7FCDA000F13C03E437BC148>II<92380FFFC0 4AB512FC020FECFF80023F15E091B712F80103D9FE037F499039F0007FFF011F01C0011F 7F49496D7F4990C76C7F49486E7F48498048844A804884485B727E5A5C48717EA35A5C72 1380A2B5FCA391B9FCA41A0002C0CBFCA67EA380A27EA27E6E160FF11F806C183F6C7FF1 7F006C7F6C6D16FE6C17016D6C4B5A6D6D4A5A6D01E04A5A6D6DEC3FE0010301FC49B45A 6D9026FFC01F90C7FC6D6C90B55A021F15F8020715E0020092C8FC030713F041437CC14A >III105 D<903807FF80B6FCA6C6FC7F7FB3A90503B61280A6DD003FEB8000DE 0FFCC7FCF01FF04E5AF0FFC04D5B4D90C8FCEF07FC4D5AEF3FF04D5A4D5A4C90C9FC4C5A EE0FFC4C5A4C5AEE7FC04C7E03837F03877F158F039F7F03BF7F92B5FC838403FC804B7E 03F0804B6C7F4B6C7F1580707F707F707FA270807080717FA2717F717F717FA2717F717F 83867180727F95B57EB7D8E00FECFFF0A64C647BE355>107 D<903807FF80B6FCA6C6FC 7F7FB3B3B3B3ADB712E0A623647BE32C>I<902607FF80D91FFFEEFFF8B691B500F00207 EBFF80040702FC023F14E0041F02FF91B612F84C6F488193267FE07F6D4801037F922781 FE001F9027E00FF0007FC6DA83F86D9026F01FC06D7F6DD987F06D4A487F6DD98FC0DBF8 7EC7804C6D027C80039FC76E488203BEEEFDF003BC6E4A8003FC04FF834B5FA24B5FA24B 94C8FCA44B5EB3B2B7D8F007B7D8803FB612FCA67E417BC087>I<902607FF80EB1FFFB6 91B512F0040714FC041F14FF4C8193267FE07F7F922781FE001F7FC6DA83F86D7F6DD987 F07F6DD98FC0814C7F039FC78015BE03BC8003FC825DA25DA25DA45DB3B2B7D8F007B712 80A651417BC05A>I<923807FFE092B6FC020715E0021F15F8027F15FE494848C66C6C7E 010701F0010F13E04901C001037F49496D7F4990C87F49486F7E49486F7E48496F138048 19C04A814819E048496F13F0A24819F8A348496F13FCA34819FEA4B518FFAD6C19FEA46C 6D4B13FCA36C19F8A26C6D4B13F0A26C19E06C6D4B13C0A26C6D4B13806C6D4B13006D6C 4B5A6D6D495B6D6D495B010701F0010F13E06D01FE017F5B010090B7C7FC023F15FC0207 15E0020092C8FC030713E048437CC151>I<902607FF80EBFFF8B6010FEBFF80047F14F0 0381B612FC038715FF038F010114C09227BFF0003F7FC6DAFFC0010F7F6D91C76C7F6D49 6E7F03F86E7F4B6E7F4B17804B6F13C0A27313E0A27313F0A21BF885A21BFCA3851BFEAE 4F13FCA41BF861A21BF0611BE0611BC06F92B512801B006F5C6F4A5B6F4A5B03FF4A5B70 495B04E0017F13C09226CFFC03B55A03C7B648C7FC03C115F803C015E0041F91C8FC0403 13E093CBFCB3A3B712F0A64F5D7BC05A>I114 D<913A3FFF8007800107B5EAF81F011FECFE7F017F91B5FC48B8FC48EBE0014890C7121F D80FFC1407D81FF0801600485A007F167F49153FA212FF171FA27F7F7F6D92C7FC13FF14 E014FF6C14F8EDFFC06C15FC16FF6C16C06C16F06C826C826C826C82013F1680010F16C0 1303D9007F15E0020315F0EC001F1500041F13F81607007C150100FC81177F6C163FA217 1F7EA26D16F0A27F173F6D16E06D157F6D16C001FEEDFF806D0203130002C0EB0FFE02FC EB7FFC01DFB65A010F5DD8FE0315C026F8007F49C7FC48010F13E035437BC140>II<902607FFC0ED3F FEB60207B5FCA6C6EE00076D826D82B3B3A260A360A2607F60183E6D6D147E4E7F6D6D49 48806D6DD907F0ECFF806D01FFEB3FE06D91B55A6E1500021F5C020314F8DA003F018002 F0C7FC51427BC05A>II E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fh cmr10 10 20 /Fh 20 122 df45 D<121C127FEAFF80A5EA7F00121C09097988 17>I<121C127FEAFF80A5EA7F00121CC7FCB2121C127FEAFF80A5EA7F00121C092479A3 17>58 D64 D97 DII101 D104 DII108 D<2703F00FF0EB1FE000FFD93FFCEB7FF8913AF03F01E07E903BF1C01F83803F3D0FF380 0FC7001F802603F70013CE01FE14DC49D907F8EB0FC0A2495CA3495CB3A3486C496CEB1F E0B500C1B50083B5FCA340257EA445>I<3903F00FF000FFEB3FFCECF03F9039F1C01F80 3A0FF3800FC03803F70013FE496D7EA25BA35BB3A3486C497EB500C1B51280A329257EA4 2E>II<3903F01FE000FFEB7FF89038F1E07E9039F3801F803A0FF700 0FC0D803FEEB07E049EB03F04914F849130116FC150016FEA3167FAA16FEA3ED01FCA26D EB03F816F06D13076DEB0FE001F614C09039F7803F009038F1E07E9038F0FFF8EC1FC091 C8FCAB487EB512C0A328357EA42E>I<3807E01F00FFEB7FC09038E1E3E09038E387F038 0FE707EA03E613EE9038EC03E09038FC0080491300A45BB3A2487EB512F0A31C257EA421 >114 DI< B538803FFEA33A0FF8000FF06C48EB07E00003EC03C06D148000011500A26C6C1306A26D 130E017E130CA26D5BA2EC8038011F1330A26D6C5AA214E001075BA2903803F180A3D901 FBC7FCA214FF6D5AA2147CA31438A227257EA32C>118 D121 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fi cmr7 7 3 /Fi 3 52 df<13381378EA01F8121F12FE12E01200B3AB487EB512F8A215267BA521>49 D<13FF000313E0380E03F0381800F848137C48137E00787F12FC6CEB1F80A4127CC7FC15 005C143E147E147C5C495A495A5C495A010EC7FC5B5B903870018013E0EA018039030003 0012065A001FB5FC5A485BB5FCA219267DA521>I<13FF000313E0380F01F8381C007C00 30137E003C133E007E133FA4123CC7123E147E147C5C495AEB07E03801FF8091C7FC3800 01E06D7E147C80143F801580A21238127C12FEA21500485B0078133E00705B6C5B381F01 F03807FFC0C690C7FC19277DA521>I E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fj cmmi12 12 46 /Fj 46 127 df11 DI I<1578913807FFE0021F13FC91383C7FFEEC7007EC6003ECE0004A13381600A280A380A2 80147CA2147E143E143F816E7EA26E7E81140781EC3FFC14FF903803E1FEEB07C190381F 00FF133E49EB7F805B0001143F485A484814C049131F120F485AA248C7FC150F5A127EA3 00FEEC1F805AA316005A5DA2153E157E157CA26C5C127C4A5A6C495AA26C495A6C6C485A 6C6C48C7FC3803E07C3800FFF0EB1FC027487CC62B>II23 D26 D<0110160E0138163F0178EE7F80137001F016FF4848167F5B0003173F49161F120790CA 120FA2000E1707A248180015060018140FA20038021E14061230A2180E00704A140C1260 181CA203381418183800E05C6015F86C01015D170114030078D907BC495ADA0FBE130700 7CD91F3E495A007ED97E3F013FC7FC3B7F83FE1FE0FF263FFFFCEBFFFE4A6C5B6C01F05C 6CD9C0075B6CD9000113C0D801FC6D6CC8FC392D7FAB3D>33 DI<121EEA7F80A2EAFFC0A4EA7F80A2EA1E000A0A 78891B>58 D<121EEA7F8012FF13C0A213E0A3127FEA1E601200A413E013C0A312011380 120313005A1206120E5A5A5A12600B1D78891B>II< 127012FCB4FCEA7FC0EA1FF0EA07FCEA01FF38007FC0EB1FF0EB07FE903801FF80903800 7FE0EC1FF8EC03FE913800FF80ED3FE0ED0FF8ED03FF030013C0EE3FF0EE0FFCEE01FF93 38007FC0EF1FF0EF07FCEF01FF9438007FC0F01FE0A2F07FC0943801FF00EF07FCEF1FF0 EF7FC04C48C7FCEE0FFCEE3FF0EEFFC0030390C8FCED0FF8ED3FE0EDFF80DA03FEC9FCEC 1FF8EC7FE0903801FF80D907FECAFCEB1FF0EB7FC04848CBFCEA07FCEA1FF0EA7FC048CC FC12FC12703B3878B44C>62 D<1830187018F0A217011703A24D7EA2170F171FA21737A2 176717E717C793380187FCA2EE0307EE07031606160CA216181638163004607FA216C003 0113011680ED0300A21506150E150C5D845D03707F15605DA24A5A4AB7FCA25C0206C87F 5C021C157F14185CA25C14E05C495A8549C9FC49163F1306130E5B133C137C01FE4C7ED8 07FFED01FF007F01F0027FEBFFC0B5FC5C42477DC649>65 D<91B87E19F019FC02009039 C00003FF6F480100138003FFED3FC01AE093C8121FF10FF0A24A17F84B1507A314035D19 0FA2020717F04B151F1AE0193F020F17C04BED7F80F1FF004E5A021F4B5A4B4A5AF01FF0 F03FC0023F4AB4C7FC4BEB1FFC92B612F018FEDA7FC0C7EA7F804BEC1FC0F00FF0727E02 FF6F7E92C8FC727EA249835CA313035CA301075F4A1503A24E5A130F4A4B5A4E5AA2011F 4C5A4A4B5A4D485A013F4B48C7FCEF0FFC4AEC3FF801FF913801FFE0B9128005FCC8FC17 C045447CC34A>I<91B87E19F019FC02009039C00007FF6F489038007FC003FFED1FE073 7E93C86C7E737E19014A707E5D1A7FA20203EF3F805DA21BC014075DA3140F4B17E0A314 1F4B17C0A3143F4B167FA3027F18804B16FFA302FF180092C95A62A24917034A5F190762 01034D5A5C4F5A620107173F4A5F4FC7FC19FE010F4C5A4A15034E5AF00FE0011F4C5A4A 4B5A06FFC8FC013FED01FCEF0FF84AEC3FE001FF913803FF80B848C9FC17F094CAFC4B44 7CC351>68 D<91B912FCA3020001C0C7123F6F48EC03F803FF1501190093C91278A21A38 5C5DA3020317305DA314074B1460A218E0020F4B13005DA21701021F5D4B13031707170F 023F027FC8FC92B6FCA391397FC0007E4B131EA2170E02FF140C92C7FCA2171C49031813 035C611906010392C7FC4A160E190C191C010717184A163819301970130F4A5E18016101 1F16034A15074E5A013F163F4EC7FC4AEC03FF01FFED3FFEB9FCA26046447CC348>I<91 B6D8E003B61280A3020001E0C70003EB8000DB7F806E48C7FC03FF1503A293C85BA21907 5C4B5EA2190F14034B5EA2191F14074B5EA2193F140F4B5EA2197F141F4B5EA219FF143F 92B8C8FCA3DA7FC0C712014B5DA2180314FF92C85BA218075B4A5EA2180F13034A5EA218 1F13074A5EA2183F130F4A5EA2187F131F4A5EA2013F16FFA24A93C9FCD9FFE002037FB6 D8E003B67EA351447CC351>72 D<027FB512F8A217F09139007FF000ED3FC0157FA25EA3 15FF93C7FCA35C5DA314035DA314075DA3140F5DA3141F5DA3143F5DA3147F5DA314FF92 C8FCA35B5CA313035CA313075CA3130F5CA2131FA25CEB7FF0007FB512F0B6FCA22D447D C32B>I<91B600E049B512C0A3020001E0C8383FF800DB7F80ED1FE003FF94C7FC1A3E93 C9127862F101C04A4C5A4B4BC8FC191C6102035E4B5DF003804EC9FC0207150E4B143860 60020F4A5A4B0107CAFC170E5F021F14784B13F84C7E1603023F130F4B487E163BEEE1FF 91387FC1C1DB83807FED8700159CDAFFB86D7E5D03C06D7E5D4990C7FC4A6E7EA2717E13 034A811707A201076F7E5C717EA2130F4A6E7FA2727E131F5C727E133F854A82D9FFE04B 7EB600E0010FB512E05FA252447CC353>75 D<91B612F8A3020001E0C8FC6F5A4B5AA293 C9FCA35C5DA314035DA314075DA3140F5DA3141F5DA3143F5DA3147F5DA314FF92CAFCA3 5B4A16C0A21801010317804A15031900A201075E4A1506180E181E010F161C4A153C1838 1878011F16F84A4A5A1703013F150F4D5A4A14FF01FF02075BB9FCA2603A447CC342>I< 91B500C0933803FFFE63630200F1FE00DB6FE0EE1BF803EF171F1B3703CFEF67F0A21BCF 0201EF018F038F60DB87F0ED030F1B1F020317060307040C5BA2F2183F02071730020661 6F6C15601B7F020E17C0020CDC018090C7FCA24F485A021C16060218606F6C5C1A010238 1618023004305BA2F16003027016C00260606F6CEB01801A0702E0ED03004A03065CA24E 130F01015E4A60047F5B1A1F01035E91C74A5CA24D48133F494BC7FC010661EE3F861A7F 010E158C010C039892C8FCA205B05C011C15E001186001386E5A190101785D01FC92C75B D803FFEF07FEB500F8011E0107B512FE161C160C5F447BC35E>I<91B500C0020FB51280 82A2DA007F9239007FE00070ED1F8074C7FCDBEFF8150E15CF03C7160C70151C1401DB83 FE1518A2DB81FF1538140303001630831A704A6D7E02061760163F7114E0140E020C6D6C 5CA2706C1301141C021801075D83190302386D7E023094C8FC1601715B147002606DEB80 06A294387FC00E14E04A023F130C18E0191C0101ED1FF04A1618170FF0F838130391C838 07FC30A2943803FE705B01060301136018FF19E0010E81010C5F187FA2131C0118705A13 38181F137801FC70C9FCEA03FFB512F884180651447CC34E>I<91B712F018FF19E00200 9039C0003FF86F48EB07FC03FFEC01FEF0007F93C8EA3F801AC0F11FE05C5D1AF0A21403 5DA30207EE3FE05DA2F17FC0020F17804B15FF1A004E5A021F4B5A4B4A5AF00FE04E5A02 3F037FC7FC4BEB03FCEF1FF092B612804A4AC8FC923980007F80EF0FC0EF07F002FF6E7E 92C77F1701845B4A1400A2170113035CA2170313075CA24D5A130F5CA3011F18185CA201 3F4C13381A304A6F1370D9FFE0020314E0B600E0ED01C00501EB0380943900FE0F00CBEA 3FFEF007F045467CC34A>82 D<9339FF8001800307EBF003033F13FC9239FF007E07DA01 F8EB0F0FDA07E09038079F004A486DB4FC4AC77E023E804A5D187E5C495A183C495AA213 074A1538A3130F183080A295C7FC806D7E8014FF6D13E015FC6DEBFFC06D14FC6E13FF6E 14C0020F80020314F8EC003F03077F9238007FFE160F1603707E8283A283A21206A4000E 163EA2120C177E001E167CA25F5F003F15014C5A6D4A5A4C5A486C4AC8FC6D143ED87CF8 5CD8787E495A3AF01FC00FE0D8E007B51280010149C9FC39C0003FF039487BC53C>I<48 BA12C05AA291C7D980001380D807F092C7121F4949150F0180170748C75B1903120E4802 0316005E12181238003014074C5C00701806126000E0140F485DA3C8001F92C7FC5EA315 3F5EA3157F5EA315FF93CAFCA35C5DA314035DA314075DA3140F5DA3141F5DA3143F5DA2 147FA214FF01037F001FB612FCA25E42447EC339>I<003FB500F80103B512E0A326003F F8C8381FF800D91FE0ED07E0013F705A615C96C7FC60017F16065CA2180E01FF160C91C9 FCA2181C4817185BA21838000317305BA21870000717605BA218E0120F495EA21701121F 495EA21703123F4993C8FCA25F127F491506A2170E00FF160C90C9FC171CA21718173817 304816705F6C5E6C15014C5A4CC9FC6C150E6D141E001F5D6D5C6C6CEB01E06C6C495A6C 6CEB1F80C6B401FECAFC90387FFFF8011F13E0010190CBFC43467AC342>I97 DI100 DI<157E913803FF809139 0FC1E0E091391F0073F0027E13334A133F4948131F010315E04948130F495AA2494814C0 133F4A131F137F91C713805B163F5A491500A25E120349147EA216FEA2495CA21501A25E A21503150700015D150F0000141F6D133F017CEB77E090383E01E790381F078F903807FE 0FD901F85B90C7FC151FA25EA2153FA293C7FCA2001C147E007F14FE485C4A5A14034849 5AEC0FC000F8495A007C01FEC8FC381FFFF8000313C02C407EAB2F>103 D<14FE137FA3EB01FC13001301A25CA21303A25CA21307A25CA2130FA25CA2131FA25CED 3FC090393F81FFF0913887C0FC91380E007E023C133ED97F70133F4A7F4A14805C13FF91 C7FC5BA24848143F17005BA200035D167E5BA2000715FE5E5B1501000F5DA24913035E00 1F1607030713064914E0150F003FEDC00E170C90C7141CEE80184816381730007E167017 E000FE91380781C0EEC38048913801FF000038EC007C30467BC438>I<141E143F5C5CA3 147E143891C7FCAE133EEBFF803801C3C0380781E0380601F0120E121CEA180312381230 A2EA700700605BA2EAE00F00C05BEA001F5CA2133F91C7FCA25B137E13FE5BA212015BEC 03800003140013F01207495A1406140E140CEBC01C141814385C00035BEBE1C0C6B45A01 3EC7FC19437DC121>I<163C16FEA21501A316FCED00701600AE15FCEC03FF91380F0780 021C13C091383803E0147014E014C01301EC8007130314005B0106130F130E010C14C090 C7FC151FA21680A2153FA21600A25DA2157EA215FEA25DA21401A25DA21403A25DA21407 A25DA2140FA25DA2141F5DA2143F001C91C7FC127F48137E5CA248485AEB03E038F807C0 38781F80D83FFEC8FCEA07F0275681C128>I<14FE137FA3EB01FC13001301A25CA21303 A25CA21307A25CA2130FA25CA2131FA25C163F013FECFFC0923803C0E09138000703ED1E 0F491338ED701F017E13E0EC01C001FE018013C00203EB07004948C8FC140E00015B5C49 5A5C3803FBC001FFC9FC8014F83807F1FE9038F03F809038E00FE06E7E000F130381EBC0 01A2001FED01C017801380A2003F15031700010013F05E481506160E007E150C161C00FE 01005BED787048EC3FE00038EC0F802B467BC433>II<01F8D903FCEC7F80D803FED91FFF903803FFE0D8071F903B7C0FC00F81F83E0E 0F80E007E01C00FC001C9026C3C0030178137C271807C700D9F0E0137E02CE902601F1C0 133E003801DCDAFB80133F003001D892C7FCD90FF814FF0070495C0060495CA200E04949 485CD8C01F187E4A5C1200040715FE013F6091C75BA2040F14014960017E5D1903041F5D 13FE494B130762043F160E0001060F130C4992C713C0191F4CED801C00031A1849027E16 38F2003004FE167000071A60494A16E0F201C0030192380F0380000FF18700494AEC03FE D80380D90070EC00F84F2D7DAB55>I<01F8EB03FCD803FEEB1FFFD8071F90387C0FC03B 0E0F80E007E03A0C07C3C003001CD9C7007F001801CE1301003801DC80003013D8EB0FF8 00705B00605BA200E0491303D8C01F5D5C12001607013F5D91C7FCA2160F495D137E161F 5F13FE49143F94C7FC187000014B136049147E16FE4C13E0000317C049150104F8138017 0300071700495D170EEE781C000FED7C3849EC1FF0D80380EC07C0342D7DAB3A>I 112 D<01F8EB0FC0D803FEEB7FF0D8070FEBF038000E903883C07C3A0C07C701FC001C13 CE0018EBDC03003813D8003013F8D90FF013F800709038E000E0006015005C12E0EAC01F 5C1200A2133F91C8FCA35B137EA313FE5BA312015BA312035BA312075BA3120F5BEA0380 262D7DAB2C>114 DI<141C147E A314FE5CA313015CA313035CA313075CA2007FB512FCB6FC15F839000FC000A2131F5CA3 133F91C7FCA35B137EA313FE5BA312015BA312035BA21570000714605B15E015C0000F13 0101C013801403EC070000071306140E5C6C6C5A000113F03800FFC0013FC7FC1E3F7EBD 23>I<133ED9FF8014E02603C3C0EB03F0380703E0380601F0000E1507121CD818035D12 380030150FA2D870075D00605B161FEAE00F00C0495CEA001F4A133FA2013F92C7FC91C7 FC5E5B017E147EA216FE13FE495CA20301EB01801703484802F81300A25F0303130616F0 00001407030F130E6D010D130C017C011D131C033913186D9038F0F838903A1F03C07870 903A07FF803FE0903A01FC000F80312D7DAB38>I<02FCEB07E0903A03FF801FFC903A0F 07C0781E903A1C03E0E01F903A3801F1C07FD9700013804901FB13FF4848EBFF00495B00 0316FE90C71438484A130012061401000E5C120CC7FC14035DA314075DA3140F5DA3021F 143817305D1770023F1460121E003F16E0267F807FEB01C0026F148000FF01EF1303D901 CFEB070000FE903887C00E267C03835B3A3C0F01E0783A1FFC00FFE0D803F0EB3F80302D 7EAB37>120 D<16301678167CA2163C163E163F82007FB712C0B8FCA27EC9EA7F0016FC 4B5A4B5A5E4B5AA26FC7FC2A146EC631>126 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fk cmr8 8 9 /Fk 9 62 df<13031307130E131C1338137013F0EA01E013C01203EA0780A2EA0F00A212 1EA35AA45AA512F8A25AAB7EA21278A57EA47EA37EA2EA0780A2EA03C0120113E0EA00F0 13701338131C130E1307130310437AB11B>40 D<12C07E12707E7E7E120FEA0780120313 C0EA01E0A2EA00F0A21378A3133CA4131EA5131FA2130FAB131FA2131EA5133CA41378A3 13F0A2EA01E0A2EA03C013801207EA0F00120E5A5A5A5A5A10437CB11B>I43 D48 D<130C133C137CEA03FC12FFEAFC7C1200B3B113FE387FFFFEA2172C7AAB23>III<123C127E12FFA4127E123C1200AD123C127E12FE12 FFA3127F123F1203A312071206A2120E120C121C1218123812701260082A7A9C14>59 D61 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fl cmmi8 8 26 /Fl 26 127 df11 DI23 D26 D<160ED80380143FA20007168090C8FC000E151F 001E150F001C160000188112380030130C141E007015061260143E023C130E00E0150C5A 0238131C6C15184A1338147802F85BD8F00114F0496C485A397C0FBE073A7FFF9FFFC002 1F5B263FFC0F90C7FC391FF807FC3907E001F0291F7F9D2C>33 DI<123C127E12FFA4127E123C08087A8714>58 D<123C127EB4FCA21380A2127F123D1201A312031300A25A1206120E5A5A5A126009157A 8714>II<92387FC003913903 FFF80791391FC03E0F91397E00071FD901F8EB03BF4948EB01FED90FC013004948147E49 C8FC017E157C49153C485A120348481538485AA2485A173048481500A2127F90CAFCA35A 5AA5EE018016031700A2007E5D1606160E6C5D5E6C6C5C000F5D6C6C495A6C6CEB0780D8 01F8011EC7FCD8007E13F890381FFFE0010390C8FC302F7CAD32>67 D<013FB512FEEEFFC0903A00FE0007F0EE01F84AEB007E8301018118804A140F18C00103 150718E05CA21307A25CA2130FA24A140FA2131F18C04A141FA2013F1680173F91C81300 A249157EA2017E5D5F01FE14014C5A494A5A4C5A00014BC7FC163E4914FCED03F00003EC 1FC0B7C8FC15F8332D7CAC3A>I<90383FFFFCA2903800FE00A25CA21301A25CA21303A2 5CA21307A25CA2130FA25CA2131FA25CA2133FA291C7FCA25BA2137EA213FEA25BA21201 A25BA21203B512E0A21E2D7DAC1F>73 D77 DI<013FB512F816FF903A00FE001FC0EE07E04A6D7E707E01 016E7EA24A80A213034C5A5CA201074A5A5F4A495A4C5A010F4A5A047EC7FC9138C003F8 91B512E04991C8FC9138C007C04A6C7E6F7E013F80150091C77EA2491301A2017E5CA201 FE1303A25BA20001EE038018005B5F0003913801FC0EB5D8E000133CEE7FF0C9EA0FC031 2E7CAC35>82 D<000FB8FCA23B1FC003F8003F0100151F001C4A130E123C003801071406 123000704A130EA20060010F140C12E0485CA2141FC715005DA2143FA292C8FCA25CA214 7EA214FEA25CA21301A25CA21303A25CA21307A25C130F131F001FB512F0A2302D7FAC29 >84 D97 D<13F8121FA21201A25BA21203A25BA21207A25BA2120FEBC7E0EB9FF8EBB83C381FF01E EBE01F13C09038800F80EA3F00A2123EA2007E131FA2127CA2143F00FC14005AA2147EA2 147C14FC5C387801F01303495A383C0F806C48C7FCEA0FFCEA03F0192F7DAD1E>I<1307 EB0F80EB1FC0A2EB0F80EB070090C7FCA9EA01E0EA07F8EA0E3CEA1C3E123812301270EA 607EEAE07C12C013FC485A120012015B12035BA21207EBC04014C0120F13801381381F01 801303EB0700EA0F06131EEA07F8EA01F0122E7EAC18>105 D<15E0EC01F01403A3EC01 C091C7FCA9147CEB03FE9038078F80EB0E07131C013813C01330EB700F0160138013E013 C0EB801F13001500A25CA2143EA2147EA2147CA214FCA25CA21301A25CA21303A25CA213 0700385BEAFC0F5C49C7FCEAF83EEAF0F8EA7FF0EA1F801C3B81AC1D>I<131FEA03FFA2 EA003FA2133EA2137EA2137CA213FCA25BA2120115F89038F003FCEC0F0E0003EB1C1EEC 387EEBE07014E03807E1C09038E3803849C7FC13CEEA0FDC13F8A2EBFF80381F9FE0EB83 F0EB01F81300481404150C123EA2007E141C1518007CEBF038ECF83000FC1470EC78E048 EB3FC00070EB0F801F2F7DAD25>I<27078007F0137E3C1FE01FFC03FF803C18F0781F07 83E03B3878E00F1E01263079C001B87F26707F8013B00060010013F001FE14E000E015C0 485A4914800081021F130300015F491400A200034A13076049133E170F0007027EEC8080 188149017C131F1801000F02FCEB3F03053E130049495C180E001F0101EC1E0C183C0100 49EB0FF0000E6D48EB03E0391F7E9D3E>109 D<3907C007E0391FE03FF83918F8783E39 3879E01E39307B801F38707F00126013FEEAE0FC12C05B00815C0001143E5BA20003147E 157C5B15FC0007ECF8081618EBC00115F0000F1538913803E0300180147016E0001F0101 13C015E390C7EAFF00000E143E251F7E9D2B>I<90387C01F89038FE07FE3901CF8E0F3A 03879C0780D907B813C0000713F000069038E003E0EB0FC0000E1380120CA2D8081F1307 12001400A249130F16C0133EA2017EEB1F80A2017C14005D01FC133E5D15FC6D485A3901 FF03E09038FB87C0D9F1FFC7FCEBF0FC000390C8FCA25BA21207A25BA2120FA2EAFFFCA2 232B829D24>112 D<3807C01F390FF07FC0391CF8E0E0383879C138307B8738707F07EA 607E13FC00E0EB03804848C7FCA2128112015BA21203A25BA21207A25BA2120FA25BA212 1FA290C8FC120E1B1F7E9D20>114 D<15C0EC01E0140015F01570007FB512FCB6FC7EC7 EA01F0EC03E0EC0780150014061E0D74AE23>126 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fm cmr12 12 83 /Fm 83 127 df<1618163CA2167EA216FFA24B7FA24B6C7EA29238063FE0A24B6C7EA24B 6C7EA292383807FC153092387003FE15609238E001FF15C002016D7F5D02036E7E92C7FC 4A6E7E1406020E6E7E140C021C6E7E141802386E7E143002706E7E146002E06E7E5C0101 6F7F5C0103707E91C9FC183F010683181F4983180F49831807498318034983A249707EA2 4848701380A248CBEA7FC0A20006F03FE0A248F01FF0A2001FBA12F8A24819FCA24819FE A2BCFC48477CC651>1 D<0103B612FCA390C701F0C8FC6F5A6F5AA8913801FFF0023FEB FF80903A01FF3FDFF0D907F0EBC1FCD91FC0EBC07FD93F00EC1F8001FEED0FE048486F7E 48486F7E48486F7E48486F7E001F834982003F1880007F18C0A249163F00FF18E0A8007F 18C06D167FA2003F1880001F18006D5E000F5F6C6C4B5A6C6C4B5A6C6C4B5A6C6C4B5A01 3FED1F80D91FC0027FC7FCD907F0EBC1FCD901FFEBDFF0D9003FB51280020101F0C8FC91 38003FC0A84B7E4B7E0103B612FCA33B447BC346>8 D<027FB67EA39126001FFEC9FC6F 5A6F5AA8B46CEFFF8001E01603D81FF0933807FC006C6C4C5A0007606D161F000360A26D 163F000160AC6C6C5F187FA4D97F804BC7FCA2013F5E02C01401131F02E04A5A010F5ED9 07F01407D903F85DD901FC4A5AD900FE4A5A027F027FC8FCDA1FC713FE0207B512F80201 14C09126001FFCC9FCED07F8A84B7E4B7E027FB67EA341447BC34C>I<9239FFC001FC02 0F9038F80FFF913B3F803E3F03C0913BFC00077E07E0D903F890390FFC0FF0494890383F F81F4948EB7FF0495A494814E049C7FCF00FE04991393FC0038049021F90C7FCAFB912F0 A3C648C7D81FC0C7FCB3B2486CEC3FF0007FD9FC0FB512E0A33C467EC539>11 D<4AB4FC020F13E091387F80F8903901FC001C49487FD907E0130F4948137F011FECFF80 495A49C7FCA25B49EC7F00163E93C7FCACEE3F80B8FCA3C648C7FC167F163FB3B0486CEC 7FC0007FD9FC1FB5FCA330467EC536>I14 D<131F1480133F137FA2EBFF00485A485A5B485A485A138048C7FC123E123C5A12E01240 11126CC431>19 D<6C130100E013076C130F007C133E001F13F8380F81F03807E7E03803 FFC06C138038007E00133C1318180C74BF31>I22 D<121EEA7F8012FF13C0A213E0A3127FEA1E601200A413E013C0A312011380120313005A 1206120E5A5A5A12600B1D78C41B>39 D<140C141C1438147014E0EB01C01303EB0780EB 0F00A2131E5BA25B13F85B12015B1203A2485AA3485AA348C7FCA35AA2123EA2127EA412 7CA312FCB3A2127CA3127EA4123EA2123FA27EA36C7EA36C7EA36C7EA212017F12007F13 787FA27F7FA2EB0780EB03C01301EB00E014701438141C140C166476CA26>I<12C07E12 707E7E7E120F6C7E6C7EA26C7E6C7EA21378137C133C133E131E131FA2EB0F80A3EB07C0 A3EB03E0A314F0A21301A214F8A41300A314FCB3A214F8A31301A414F0A21303A214E0A3 EB07C0A3EB0F80A3EB1F00A2131E133E133C137C13785BA2485A485AA2485A48C7FC120E 5A5A5A5A5A16647BCA26>I<16C04B7EB3AB007FBAFCBB1280A26C1900C8D801E0C9FCB3 AB6F5A41407BB84C>43 D<121EEA7F8012FF13C0A213E0A3127FEA1E601200A413E013C0 A312011380120313005A1206120E5A5A5A12600B1D78891B>II< 121EEA7F80A2EAFFC0A4EA7F80A2EA1E000A0A78891B>I<14FF010713E090381F81F890 383E007C01FC133F4848EB1F8049130F4848EB07C04848EB03E0A2000F15F0491301001F 15F8A2003F15FCA390C8FC4815FEA54815FFB3A46C15FEA56D1301003F15FCA3001F15F8 A26C6CEB03F0A36C6CEB07E0000315C06D130F6C6CEB1F806C6CEB3F00013E137C90381F 81F8903807FFE0010090C7FC28447CC131>48 D<143014F013011303131F13FFB5FC13E7 13071200B3B3B0497E497E007FB6FCA3204278C131>II<49B4FC010F13E0013F13FC9038FE01FE3A01F0007F80D803C0EB3FC0 48C7EA1FE0120EED0FF0EA0FE0486C14F8A215077F5BA26C48130FEA03C0C813F0A3ED1F E0A2ED3FC01680ED7F0015FE4A5AEC03F0EC1FC0D90FFFC7FC15F090380001FCEC007FED 3F80ED1FC0ED0FE016F0ED07F816FC150316FEA2150116FFA3121EEA7F80487EA416FE49 1303A2007EC713FC00701407003015F80038140F6C15F06CEC1FE06C6CEB3FC0D803E0EB 7F803A01FE01FE0039007FFFF8010F13E0010190C7FC28447CC131>II<0006 15C0D807C0130701FCEB7F8090B612005D5D5D15E0158026063FFCC7FC90C9FCAE14FF01 0713C090381F01F090383800FC01F0137ED807C07F49EB1F8016C090C7120F000615E0C8 EA07F0A316F81503A216FCA5123E127F487EA416F890C712075A006015F0A20070140F00 3015E00038EC1FC07E001EEC3F806CEC7F006C6C13FE6C6C485A3901F807F039007FFFE0 011F90C7FCEB07F826447BC131>II<121CA2EA1F80 90B712C0A3481680A217005E0038C8120C0030151C00705D0060153016705E5E4814014B 5A4BC7FCC81206150E5D151815385D156015E04A5AA24A5A140792C8FC5CA25C141E143E A2147E147CA214FCA21301A3495AA41307A6130FAA6D5AEB01C02A457BC231>I<14FF01 0713E0011F13F890387F00FE01FC133FD801F0EB1F804848EB0FC049EB07E00007EC03F0 48481301A290C713F8481400A47FA26D130116F07F6C6CEB03E013FC6C6CEB07C09039FF 800F806C9038C01F006CEBF03EECF87839007FFEF090383FFFC07F01077F6D13F8497F90 381E7FFFD97C1F1380496C13C02601E00313E048486C13F000079038007FF84848EB3FFC 48C7120F003EEC07FE150148140016FF167F48153FA2161FA56C151E007C153EA2007E15 3C003E157C6C15F86DEB01F06C6CEB03E06C6CEB07C0D803F8EB1F80C6B4EBFF0090383F FFFC010F13F00101138028447CC131>I<14FF010713E0011F13F890387F80FC9038FC00 7E48487F4848EB1F804848EB0FC0000FEC07E0485AED03F0485A16F8007F140190C713FC A25AA216FE1500A516FFA46C5CA36C7E5D121F7F000F5C6C6C130E150C6C6C131C6C6C5B D8007C5B90383F01E090390FFF80FE903801FE0090C8FC150116FCA4ED03F8A216F0D80F 801307486C14E0486C130F16C0ED1F80A249EB3F0049137E001EC75A001C495A000F495A 3907E01FE06CB51280C649C7FCEB1FF028447CC131>I<121EEA7F80A2EAFFC0A4EA7F80 A2EA1E00C7FCB3A5121EEA7F80A2EAFFC0A4EA7F80A2EA1E000A2B78AA1B>I<121EEA7F 80A2EAFFC0A4EA7F80A2EA1E00C7FCB3A5121E127FEAFF80A213C0A4127F121E1200A512 011380A3120313005A1206120E120C121C5A5A12600A3E78AA1B>I<007FBAFCBB1280A2 6C1900CEFCB0007FBAFCBB1280A26C190041187BA44C>61 D<16C04B7EA34B7EA34B7EA3 4B7EA3ED19FEA3ED30FFA203707FED607FA203E07FEDC03FA2020180ED801FA2DA03007F 160FA20206801607A24A6D7EA34A6D7EA34A6D7EA20270810260147FA202E08191B7FCA2 49820280C7121FA249C87F170FA20106821707A2496F7EA3496F7EA3496F7EA201788313 F8486C83D80FFF03037FB500E0027FEBFFC0A342477DC649>65 DIIIIIIII<010FB512FEA3D900031380 6E130080B3B3AB123F487E487EA44A5A13801300006C495A00705C6C13076C5C6C495A6C EB1F802603E07FC7FC3800FFFCEB1FE027467BC332>IIIIIIIII<49B41303010FEBE007013F13F890 39FE00FE0FD801F8131FD807E0EB079F49EB03DF48486DB4FC48C8FC4881003E81127E82 127C00FC81A282A37E82A27EA26C6C91C7FC7F7FEA3FF813FE381FFFE06C13FE6CEBFFE0 6C14FC6C14FF6C15C0013F14F0010F80010180D9001F7F14019138001FFF03031380816F 13C0167F163F161F17E000C0150FA31607A37EA36C16C0160F7E17806C151F6C16006C5D 6D147ED8FBC05CD8F9F0495AD8F07C495A90393FC00FE0D8E00FB51280010149C7FC39C0 003FF02B487BC536>I<003FB912F8A3903BF0001FF8001F01806D481303003EC7150048 187C0078183CA20070181CA30060180CA5481806A5C81600B3B3A54B7EED7FFE49B77EA3 3F447DC346>IIII89 D<001FB81280A39126800001130001FCC7FC01F04A5A01C04A5A5B90 C8485A121E4C5A484B5AA200384B5A4C5AA24B90C7FC00304A5AA24B5AA24B5AC8485AA2 4B5A4B5AA24B5A5C93C8FC4A5AA24A5A4A5AA24A5A4A5AA24A5A14FF5D4990C9FCEF0180 495A495AA2495A494814031800495AA2495A495A5F4890C8FC485A5F485A48485D5F4848 5D17FE484814034848140F16FFB8FCA331447BC33C>II93 D97 DII<167FED3FFFA315018182B3EC7F80903803FFF090380FC07C 90383F000E017E1307496D5AD803F87F48487F5B000F81485AA2485AA2127FA290C8FC5A AB7E7FA2123FA26C7EA2000F5D7F6C6C5B00035C6C6C9038077F806C6C010E13C0013F01 1C13FE90380FC0F8903803FFE09026007F0013002F467DC436>III III<143C14FFA2491380A46D1300A2143C91C7FCADEC7F80EB 3FFFA31300147F143FB3B3AA123E127F39FF807F00A2147EA25C6C485A383C01F06C485A 3807FF80D801FEC7FC195785C21E>IIII<3901FC01FE00FF903807FFC091381E07F091383801F800070170 7F0003EBE0002601FDC07F5C01FF147F91C7FCA25BA35BB3A8486CECFF80B5D8F83F13FE A32F2C7DAB36>II<3901FC03FC00FF9038 0FFF8091383C07E091387001F83A07FDE000FE00030180137FD801FFEC3F8091C7EA1FC0 4915E049140F17F0160717F8160317FCA3EE01FEABEE03FCA3EE07F8A217F0160F6D15E0 EE1FC06D143F17806EEB7E00D9FDC05B9039FCF003F891383C0FE091381FFF80DA03FCC7 FC91C9FCAE487EB512F8A32F3F7DAB36>I<91387F8003903903FFE00790380FE0789039 3F801C0F90387E000E496D5AD803F8EB039F0007EC01BF4914FF48487F121F5B003F81A2 485AA348C8FCAB6C7EA3123F7F121F6D5C120F6D5B12076C6C5B6C6C497E6C6C130E013F 131C90380FC0F8903803FFE09038007F0091C7FCAEEEFF80033F13FEA32F3F7DAB33>I< 3903F803F000FFEB1FFCEC3C3EEC707F0007EBE0FF3803F9C000015B13FBEC007E153C01 FF13005BA45BB3A748B4FCB512FEA3202C7DAB26>I<90383FE0183901FFFC383907E01F 78390F0003F8001E1301481300007C1478127800F81438A21518A27EA27E6C6C13006C7E 13FC383FFFE06C13FC6C13FF6C14C06C14E0C614F0011F13F81300EC0FFC140300C0EB01 FE1400157E7E153EA27EA36C143C6C147C15786C14F86CEB01F039F38003E039F1F00F80 39E07FFE0038C00FF01F2E7DAC26>I<1306A5130EA4131EA3133E137EA213FE12011207 001FB512F0B6FCA2C648C7FCB3A4150CAA017E131C017F1318A26D133890381F8030ECC0 70903807E0E0903801FFC09038007F001E3E7EBC26>IIIIII<003FB612E0A29038C0003F90C713C0003CEC7F800038EC FF00A20030495A0070495AA24A5A0060495AA24A5A4A5AA2C7485A4AC7FC5B5C495A1307 5C495A131F4A1360495A495AA249C712C0485AA2485A485A1501485A48481303A24848EB 07804848131F00FF14FF90B6FCA2232B7DAA2B>I<01F81302D803FE13073907FF800E48 EBE01C391F1FF8F8393807FFF0D8700113E039E0007FC00040EB1F00200978C131>126 D E %EndDVIPSBitmapFont %DVIPSBitmapFont: Fn cmbx12 12 31 /Fn 31 123 df48 DII< ECFFF0010713FF011F14C0017F14F049C66C7ED803F8EB3FFED807E06D7E81D80FF86D13 8013FE001F16C07FA66C5A6C4815806C485BC814005D5E4B5A4B5A4B5A4A5B020F138090 2607FFFEC7FC15F815FF16C090C713F0ED3FFCED0FFEEEFF80816F13C017E0A26F13F0A2 17F8A3EA0FC0EA3FF0487EA2487EA217F0A25D17E06C5A494913C05BD83F80491380D81F F0491300D80FFEEBFFFE6CB612F800015D6C6C14C0011F49C7FC010113E02D427BC038> I<163FA25E5E5D5DA25D5D5D5DA25D92B5FCEC01F7EC03E7140715C7EC0F87EC1F07143E 147E147C14F8EB01F0EB03E0130714C0EB0F80EB1F00133E5BA25B485A485A485A120F5B 48C7FC123E5A12FCB91280A5C8000F90C7FCAC027FB61280A531417DC038>I<00071503 01E0143F01FFEB07FF91B6FC5E5E5E5E5E16804BC7FC5D15E092C8FC01C0C9FCAAEC3FF0 01C1B5FC01C714C001DF14F09039FFE03FFC9138000FFE01FC6D7E01F06D13804915C049 7F6C4815E0C8FC6F13F0A317F8A4EA0F80EA3FE0487E12FF7FA317F05B5D6C4815E05B00 7EC74813C0123E003F4A1380D81FC0491300D80FF0495AD807FEEBFFFC6CB612F0C65D01 3F1480010F01FCC7FC010113C02D427BC038>I<4AB47E021F13F0027F13FC49B6FC0107 9038807F8090390FFC001FD93FF014C04948137F4948EBFFE048495A5A1400485A120FA2 48486D13C0EE7F80EE1E00003F92C7FCA25B127FA2EC07FC91381FFF8000FF017F13E091 B512F89039F9F01FFC9039FBC007FE9039FF8003FF17804A6C13C05B6F13E0A24915F0A3 17F85BA4127FA5123FA217F07F121FA2000F4A13E0A26C6C15C06D4913806C018014006C 6D485A6C9038E01FFC6DB55A011F5C010714C0010191C7FC9038003FF02D427BC038>I< 121E121F13FC90B712FEA45A17FC17F817F017E017C0A2481680007EC8EA3F00007C157E 5E00785D15014B5A00F84A5A484A5A5E151FC848C7FC157E5DA24A5A14035D14074A5AA2 141F5D143FA2147F5D14FFA25BA35B92C8FCA35BA55BAA6D5A6D5A6D5A2F447AC238>I< EC7FF00103B5FC010F14C0013F14F090397F801FFC3A01FC0003FE48486D7E497F4848EC 7F80163F484815C0A2001F151FA27FA27F7F01FE143F6D158002C0137F02F014006C01FC 5B6E485A6C9038FF83FCEDE7F86CECFFE06C5D6C92C7FC6D14C06D80010F14F882013F80 90B7FC48013F14802607FC0F14C0260FF80314E04848C6FC496D13F0003F141F48481307 496D13F8150000FF157F90C8123F161F160FA21607A36D15F0127F160F6D15E06C6C141F 6DEC3FC06C6CEC7F80D80FFE903801FF003A07FFC00FFE6C90B55AC615F0013F14C0010F 91C7FC010013F02D427BC038>II65 D67 D71 D<903801FFE0011F13FE01 7F6D7E48B612E03A03FE007FF84848EB1FFC6D6D7E486C6D7EA26F7FA36F7F6C5A6C5AEA 00F090C7FCA40203B5FC91B6FC1307013F13F19038FFFC01000313E0000F1380381FFE00 485A5B127F5B12FF5BA35DA26D5B6C6C5B4B13F0D83FFE013EEBFFC03A1FFF80FC7F0007 EBFFF86CECE01FC66CEB8007D90FFCC9FC322F7DAD36>97 DIIII103 D<137C48B4FC4813804813C0A24813E0A56C 13C0A26C13806C1300EA007C90C7FCAAEB7FC0EA7FFFA512037EB3AFB6FCA518467CC520 >105 D107 DI<90277F8007FEEC0FFC B590263FFFC090387FFF8092B5D8F001B512E002816E4880913D87F01FFC0FE03FF8913D 8FC00FFE1F801FFC0003D99F009026FF3E007F6C019E6D013C130F02BC5D02F86D496D7E A24A5D4A5DA34A5DB3A7B60081B60003B512FEA5572D7CAC5E>I<90397F8007FEB59038 3FFF8092B512E0028114F8913987F03FFC91388F801F000390399F000FFE6C139E14BC02 F86D7E5CA25CA35CB3A7B60083B512FEA5372D7CAC3E>II<90387F807FB53881FFE0028313F0028F13F8ED8FFC9138 9F1FFE000313BE6C13BC14F8A214F0ED0FFC9138E007F8ED01E092C7FCA35CB3A5B612E0 A5272D7DAC2E>114 D<90391FFC038090B51287000314FF120F381FF003383FC0004913 3F48C7121F127E00FE140FA215077EA27F01E090C7FC13FE387FFFF014FF6C14C015F06C 14FC6C800003806C15806C7E010F14C0EB003F020313E0140000F0143FA26C141F150FA2 7EA26C15C06C141FA26DEB3F8001E0EB7F009038F803FE90B55A00FC5CD8F03F13E026E0 07FEC7FC232F7CAD2C>II119 D121 D<001FB71280A49026FC001F130001E0495A5B49495A90C7485A48495B123E4A5B4A5B00 3C495BA24A90C7FC4A5A4A5AC7FC4A5A495B495BA2495B499038800780491300A2495A49 48130F49481400A2485B48495B485BA248495B4890C75A48485C15034848EB1FFEB7FCA4 292C7DAB32>I E %EndDVIPSBitmapFont end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%BeginPaperSize: a4 a4 %%EndPaperSize %%EndSetup %%Page: 1 1 1 0 bop 511 159 a Fn(Generalized)37 b(Calogero)g(mo)s(del)g(in)f (arbitrary)h(dimensions)806 429 y Fm(S.Meljanac)1272 392 y Fl(a)5 b Fk(1)1353 429 y Fm(,)33 b(M.Milek)m(o)m(vi)m(\023)-46 b(c)1965 392 y Fl(b)37 b Fk(2)2072 429 y Fm(,)32 b(A.)h(Samsaro)m(v) 2671 392 y Fl(a)k Fk(3)293 663 y Fl(a)367 699 y Fm(Rudjer)c(Bo)-5 b(\024)-44 b(sk)m(o)m(vi)m(\023)e(c)34 b(Institute,)f(Bijeni)m(\024)-46 b(ck)-5 b(a)31 b(c.54,)i(HR-10002)d(Zagreb,)j(Croatia)61 933 y Fl(b)128 969 y Fm(Theoretical)f(Ph)m(ysics)i(Departmen)m(t,)e(F) -8 b(acult)m(y)33 b(of)f(Science,)h(P)-8 b(.O.B.)33 b(331,)f(Bijeni)m (\024)-46 b(ck)-5 b(a)31 b(c.32,)1232 1168 y(HR-10002)g(Zagreb,)h (Croatia)1581 1546 y Fn(Abstract)170 1924 y Fm(W)-8 b(e)48 b(de\014ne)h(a)e(new)h(m)m(ultisp)s(ecies)f(mo)s(del)f(of)h(Calogero)f (t)m(yp)s(e)j(in)e(D)g(dimensions)f(with)24 2123 y(harmonic,)38 b(t)m(w)m(o-b)s(o)s(dy)g(and)h(three-b)s(o)s(dy)f(in)m(teractions.)60 b(Using)38 b(the)g(underlying)g(conformal)24 2323 y Fj(S)6 b(U)k Fm(\(1)p Fj(;)17 b Fm(1\))23 b(algebra,)h(w)m(e)g(indicate)f(ho)m (w)h(to)f(\014nd)h(the)g(complete)f(set)h(of)f(the)h(states)h(in)d (Bargmann-)24 2522 y(F)-8 b(o)s(c)m(k)44 b(space.)81 b(There)46 b(are)e(to)m(w)m(ers)i(of)e(states,)49 b(with)44 b(equidistan)m(t)g(energy)i(sp)s(ectra)f(in)f(eac)m(h)24 2721 y(to)m(w)m(er.)73 b(W)-8 b(e)43 b(explicitely)d(construct)k(all)c (p)s(olynomial)e(eigenstates,)46 b(namely)41 b(the)i(cen)m(ter-of-)24 2920 y(mass)27 b(states)i(and)f(global)d(dilatation)f(mo)s(des,)29 b(and)f(\014nd)g(their)f(corresp)s(onding)h(eigenenergies.)24 3120 y(W)-8 b(e)47 b(also)f(construct)i(ladder)f(op)s(erators)g(for)f (these)j(global)c(collectiv)m(e)h(states.)88 b(Analysing)24 3319 y(corresp)s(onding)30 b(F)-8 b(o)s(c)m(k)31 b(space,)h(w)m(e)g (detect)f(the)h(univ)m(ersal)e(critical)e(p)s(oin)m(t)i(at)g(whic)m(h)h (the)h(mo)s(del)24 3518 y(exhibits)45 b(singular)g(b)s(eha)m(vior.)83 b(The)47 b(ab)s(o)m(v)m(e)g(results)f(are)g(univ)m(ersal)g(for)f(all)f (systems)j(with)24 3718 y(underlying)32 b(conformal)e Fj(S)6 b(U)k Fm(\(1)p Fj(;)17 b Fm(1\))32 b(symmetry)-8 b(.)170 3988 y(P)g(A)m(CS)34 b(n)m(um)m(b)s(er\(s\):)44 b(03.65.Fd,)32 b(03.65.Sq,)g(05.30.Pr)170 4258 y(Keyw)m(ords:)45 b(m)m(ultisp)s(ecies)32 b(Calogero)f(mo)s(del,)g(SU\(1,1\))i(algebra.)p 24 4351 1418 4 v 136 4412 a Fi(1)173 4442 y Fh(e-mail:)j (meljanac@irb.hr)136 4512 y Fi(2)173 4542 y Fh(e-mail:)g(marijan@ph)n (y)-7 b(.hr)136 4611 y Fi(3)173 4641 y Fh(e-mail:)36 b(a.samsaro)n(v@irb.hr)1771 5269 y Fm(1)p eop %%Page: 2 2 2 1 bop 24 159 a Fg(1)161 b(In)l(tro)t(duction)24 527 y Fm(The)24 b(\(rational\))d(Calogero)h(mo)s(del)g(describ)s(es)i Fj(N)34 b Fm(iden)m(tical)22 b(particles)g(on)i(the)g(line)e(whic)m(h)i (in)m(ter-)24 727 y(act)30 b(through)h(an)f(in)m(v)m(erse-square)j(t)m (w)m(o-b)s(o)s(dy)e(in)m(teraction)e(and)i(are)g(sub)5 b(jected)33 b(to)d(a)g(common)24 926 y(con\014ning)38 b(harmonic)f(force.)62 b(Starting)37 b(from)g(the)i(inception)f([1],)i (the)f(mo)s(del)e(and)i(its)f(v)-5 b(ari-)24 1125 y(ous)28 b(descendan)m(ts)j(\(also)c(kno)m(wn)i(as)f(Calogero-Sutherland-Moser)f (systems)j([2]\))e(con)m(tin)m(ue)g(to)24 1324 y(b)s(e)k(of)g(in)m (terest)h(for)e(b)s(oth)h(ph)m(ysics)i(and)e(mathematics)f(comm)m(unit) m(y)-8 b(,)31 b(primarly)f(b)s(ecause)k(they)24 1524 y(are)d(connected)i(with)d(a)h(n)m(um)m(b)s(er)h(of)e(mathematical)e (and)j(ph)m(ysical)h(problems,)e(ranging)g(from)24 1723 y(random)k(matrices)h(and)g(symmetric)g(p)s(olynomials)d([3])j(to)g (condensed)i(matter)e(systems)i(and)24 1922 y(blac)m(k)30 b(hole)f(ph)m(ysics)i([4].)43 b(The)31 b(mo)s(del)d(is)h(also)g (connected)j(to)e(Haldane's)f(exclusion)h(statistics)24 2121 y([5].)42 b(The)32 b(role)e(of)g(Haldane)g(statistical)e (parameter)j(is)f(pla)m(y)m(ed)h(b)m(y)g(\(univ)m(ersal\))g(coupling)e (con-)24 2321 y(stan)m(t)34 b(in)e(the)i(t)m(w)m(o-b)s(o)s(dy)g(in)m (teraction.)46 b(In)33 b(Haldane's)h(form)m(ulation)d(there)j(is)f(the) h(p)s(ossibilit)m(y)24 2520 y(of)40 b(ha)m(ving)g(particles)g(of)g (di\013eren)m(t)h(sp)s(ecies)g(with)g(a)f(m)m(utual)f(statistical)g (coupling)g(parame-)24 2719 y(ter)h(dep)s(ending)g(on)g(the)h(sp)s (ecies)g(coupled.)66 b(This)40 b(suggest)i(the)e(p)s(ossible)g (generalization)d(of)24 2918 y(the)42 b(ordinary)g(one-dimensional)e (Calogero)h(mo)s(del)g(with)h(iden)m(tical)f(particles)g(to)h(the)h (one-)24 3118 y(dimensional)28 b(Calogero)h(mo)s(del)g(with)h(non-iden) m(tical)e(particles.)42 b(Distinguishabillit)m(y)26 b(can)31 b(b)s(e)24 3317 y(in)m(tro)s(duced)i(b)m(y)h(allo)m(wing)d(particles)h (to)h(ha)m(v)m(e)i(di\013eren)m(t)e(masses)h(and)f(di\013eren)m(t)h (couplings)e(to)24 3516 y(eac)m(h)i(other.)47 b(In)33 b(this)h(w)m(a)m(y)g(a)g(one-dimensional)d(m)m(ultisp)s(ecies)h (Calogero)g(mo)s(del)g(is)h(obtained)24 3715 y([6,7].)24 3915 y(F)-8 b(urther)48 b(generalization)f(can)i(b)s(e)g(ac)m(hiev)m (ed)h(b)m(y)g(form)m(ulating)45 b(the)50 b(mo)s(del)d(in)h(dimensions) 24 4114 y(higher)42 b(than)i(one.)75 b(In)44 b(the)g(case)g(of)f (single-sp)s(ecies)f(mo)s(del\(s\),)j(it)d(w)m(as)i(sho)m(wn)h(that)e (some)24 4313 y(exact)35 b(eigenstates)h(\(including)d(the)j(ground)f (state\))g(can)g(b)s(e)g(obtained)g(for)f(a)h Fj(D)j Fm(dimensions)24 4512 y(pro)m(vided)e(that)g(a)g(long-range)e(three-b)s (o)s(dy)i(in)m(teraction)f(is)h(added)g([8].)54 b(The)37 b(inevitable)d(ap-)24 4712 y(p)s(earance)f(of)f(three-b)s(o)s(dy)g(in)m (teraction)g(in)f Fj(D)g(>)c Fm(1)32 b(mak)m(es)h(an)m(y)g(analysis)f (of)g(suc)m(h)i(a)e(mo)s(del\(s\))24 4911 y(highly)21 b(non)m(trivial)g(and)i(v)m(ery)h(little)c(is)i(kno)m(wn)i(ab)s(out)f (their)f(exact)h(solv)-5 b(abilit)m(y)d(.)38 b(Some)22 b(progress)1771 5269 y(2)p eop %%Page: 3 3 3 2 bop 24 159 a Fm(has)29 b(b)s(een)h(ac)m(hiev)m(ed)h(only)e(recen)m (tly)h(for)f(a)g(class)g(of)g(t)m(w)m(o-dimensional)e(mo)s(dels)i(with) g(iden)m(tical)24 358 y(particles)i([9].)24 557 y(In)j(a)h(presen)m(t)h (Letter)f(w)m(e)g(prop)s(ose)g(a)f(new)i(t)m(yp)s(e)f(of)f(partially)e (solv)-5 b(able)33 b(m)m(ultisp)s(ecies)h(mo)s(del)24 756 y(of)39 b(Calogero)g(t)m(yp)s(e)h(in)f(D)h(dimensions.)64 b(In)40 b(addition)e(to)i(the)g(harmonic)e(p)s(oten)m(tial,)i(it)f (con-)24 956 y(tains)d(t)m(w)m(o-b)s(o)s(dy)i(and)f(three-b)s(o)s(dy)h (in)m(teractions)f(with)g(coupling)f(constan)m(ts)i(dep)s(ending)g(on) 24 1155 y(the)46 b(particle's)g(sp)s(ecies.)86 b(W)-8 b(e)47 b(also)f(allo)m(w)e(particles)i(to)g(ha)m(v)m(e)i(di\013eren)m (t)f(masses.)85 b(In)47 b(this)24 1354 y(w)m(a)m(y)36 b(w)m(e)f(incorp)s(orate)f(b)s(oth)g(generalizations)f(men)m(tioned)i (ab)s(o)m(v)m(e)g(in)m(to)f(a)h(single)e(mo)s(del.)48 b(W)-8 b(e)24 1553 y(indicate)41 b(ho)m(w)i(to)f(obtain)f(\(in)h (principle\))e(all)h(eigenstates)i(of)f(the)g(mo)s(del)f(Hamiltonian)e (in)24 1753 y(Bargmann)g(represen)m(tation.)67 b(The)41 b(sp)s(ectrum)f(of)g(states)h(sho)m(ws)h(a)e(remark)-5 b(able)39 b(simplicit)m(y)-8 b(.)24 1952 y(There)38 b(are)f(to)m(w)m (ers)h(of)f(states)g(with)g(equidistan)m(t)g(energies.)57 b(W)-8 b(e)37 b(are)g(able)f(to)h(\014nd)g(all)e(p)s(oly-)24 2151 y(nomial)e(eigenstates)k(and)g(corresp)s(onding)f(eigenenergies)h (of)f(the)g(Hamiltonian,)e(describing)24 2350 y(global)i(collectiv)m(e) h(states.)62 b(Closer)38 b(insp)s(ection)f(of)h(the)h(F)-8 b(o)s(c)m(k)38 b(space,)j(corresp)s(onding)e(to)e(the)24 2550 y(relativ)m(e)h(motion)e(of)j(particles,)g(rev)m(eals)h(the)f (existence)h(of)e(the)h(univ)m(ersal)g(critical)d(p)s(oin)m(t)i(at)24 2749 y(whic)m(h)i(system)h(exhibits)e(singular)f(b)s(eha)m(viour.)66 b(This)39 b(result)h(generalizes)g(that)f(men)m(tioned)24 2948 y(in)g([7,10].)65 b(Our)40 b(results)h(are)f(univ)m(ersal)g(and)g (applicable)e(to)h(all)f(systems)k(with)d(underlying)24 3147 y Fj(S)6 b(U)k Fm(\(1)p Fj(;)17 b Fm(1\))32 b(algebra.)24 3551 y Fg(2)161 b(A)53 b(mo)t(del)h(Hamiltonian)24 3920 y Fm(W)-8 b(e)26 b(start)h(the)f(analysis)g(with)g(observ)-5 b(ation)25 b(that)h(the)h(exact)g(w)m(a)m(v)m(e)h(functions)f(of)e(the) i(Calogero)24 4119 y(mo)s(del)e(are)h(highly)g(correlated.)41 b(These)28 b(correlations)d(are)i(enco)s(ded)h(in)e(the)h(w)m(a)m(v)m (e)h(functions)f(in)24 4318 y(the)g(form)g(of)g(a)g(Jastro)m(w)h (prefactor)f(\()p Fj(x)1453 4333 y Fl(i)1493 4318 y Ff(\000)12 b Fj(x)1637 4333 y Fl(j)1674 4318 y Fm(\))1712 4282 y Fl(\027)1783 4318 y Fm(for)27 b(an)m(y)h(pair)e(of)h(particles)f Fj(i;)17 b(j)6 b Fm(.)42 b(The)28 b(exp)s(onen)m(t)24 4518 y(of)37 b(the)i(correlator)e(is)h(related)g(to)g(the)h(strength)g (of)f(the)h(t)m(w)m(o-b)s(o)s(dy)f(in)m(teraction.)60 b(It)38 b(is)g(then)24 4717 y(plausible)27 b(to)j(mak)m(e)f(an)h (ansatz)f(for)g(the)h(most)f(general)g(ground)g(state)h(w)m(a)m(v)m(e)i (function)d(for)f(the)24 4916 y Fj(N)43 b(disting)t(uishabl)r(e)33 b Fm(Calogero-lik)m(e)d(particles)i(in)g Fj(D)j Fm(dimensions)d(in)g (the)h(form)e(\(\026)-50 b Fj(h)28 b Fm(=)f(1\))1771 5269 y(3)p eop %%Page: 4 4 4 3 bop 1144 358 a Fm(\011)1220 373 y Fk(0)1259 358 y Fm(\()m Fj(~)-46 b(r)1341 373 y Fk(1)1380 358 y Fj(;)17 b(:::;)c(~)-45 b(r)1593 373 y Fl(N)1660 358 y Fm(\))28 b(=)f(\001)p Fj(e)1955 317 y Fe(\000)2020 289 y Fd(!)p 2021 301 41 4 v 2026 343 a Fc(2)2083 259 y Fb(P)2171 279 y Fd(N)2171 346 y(i)p Fc(=1)2286 317 y Fl(m)2348 327 y Fd(i)2373 317 y Fl(~)-34 b(r)2408 293 y Fc(2)2406 339 y Fd(i)3442 358 y Fm(\(1\))170 671 y(where)34 b(the)f(Jastro)m(w)g (prefactor)g(is)f(generalized)g(to)750 1140 y(\001)c(=)965 1057 y Fb(Y)963 1239 y Fl(i)255 2183 y Fl(D)p 255 2199 60 4 v 267 2256 a Fk(2)325 2222 y Fm(.)54 b(First,)35 b(w)m(e)i(completely)e(decouple)i(CM-)f(and)g(R-motion)d(b) m(y)k(in)m(tro)s(ducing)e(another)24 2421 y(set)e(of)f(the)h(creation)f (and)h(annihilation)c(op)s(erators)j Ff(f)p Fj(B)2121 2380 y Fk(+)2116 2443 y(2)2180 2421 y Fj(;)17 b(B)2303 2380 y Fe(\000)2298 2443 y Fk(2)2362 2421 y Ff(g)p Fm(:)1323 2720 y Fj(B)1402 2679 y Fe(\006)1397 2745 y Fk(2)1488 2720 y Fm(=)28 b Fj(A)1665 2735 y Fk(2)1704 2678 y Fe(\006)1786 2720 y Ff(\000)1895 2653 y Fm(1)p 1895 2697 49 4 v 1895 2788 a(2)1954 2720 y(\()2016 2695 y Fj(~)1992 2720 y(A)2065 2735 y Fk(1)2104 2650 y Fe(\006)2164 2720 y Fm(\))2202 2679 y Fk(2)2241 2720 y Fj(;)1126 b Fm(\(21\))24 3019 y(suc)m(h)34 b(that)1438 3218 y([)p Fj(A)1538 3233 y Fk(1)p Fl(;\013)1643 3176 y Fe(\006)1702 3218 y Fj(;)17 b(B)1820 3233 y Fk(2)1859 3176 y Fe(\007)1918 3218 y Fm(])28 b(=)f(0)p Fj(:)1242 b Fm(\(22\))24 3471 y(Hence,)34 b(w)m(e)f(get)916 3645 y(~)891 3671 y Fj(H)972 3686 y Fl(R)1057 3671 y Fm(=)28 b Fj(!)t Fm([)p Fj(B)1332 3630 y Fe(\000)1327 3695 y Fk(2)1390 3671 y Fj(;)17 b(B)1513 3630 y Fk(+)1508 3695 y(2)1572 3671 y Fm(])p Fj(;)212 b Fm([)1890 3645 y(~)1865 3671 y Fj(H)1946 3686 y Fl(R)2004 3671 y Fj(;)17 b(B)2127 3630 y Fe(\006)2122 3695 y Fk(2)2186 3671 y Fm(])27 b(=)h Ff(\006)p Fm(2)p Fj(!)t(B)2614 3630 y Fe(\006)2609 3695 y Fk(2)2673 3671 y Fj(;)1183 3899 y Fm(~)1158 3924 y Fj(H)1239 3939 y Fl(C)5 b(M)1400 3924 y Fm(=)1514 3856 y(1)p 1514 3901 V 1514 3992 a(2)1573 3924 y Fj(!)1691 3816 y Fl(D)1661 3841 y Fb(X)1654 4022 y Fl(\013)p Fk(=1)1789 3924 y Ff(f)p Fj(A)1912 3883 y Fe(\000)1912 3949 y Fk(1)p Fl(;\013)2016 3924 y Fj(;)17 b(A)2133 3939 y Fk(1)p Fl(;\013)2238 3882 y Fk(+)2297 3924 y Ff(g)2347 3939 y Fk(+)2405 3924 y Fj(:)962 b Fm(\(23\))24 4177 y(The)27 b(F)-8 b(o)s(c)m(k)27 b(space)h(no)m(w)f(splits)f(in)m (to)g(the)i(CM-F)-8 b(o)s(c)m(k)27 b(space,)i(spanned)f(b)m(y)2706 4111 y Fb(Q)2784 4137 y Fl(D)2784 4202 y(\013)p Fk(=1)2924 4177 y Fm(\()p Fj(A)3035 4136 y Fk(+)3035 4199 y(1)p Fl(;\013)3139 4177 y Fm(\))3177 4141 y Fl(n)3220 4150 y Fc(1)p Fd(;\013)3318 4177 y Ff(j)3346 4156 y Fm(~)3346 4177 y(0)o Ff(i)3433 4192 y Fl(C)5 b(M)24 4376 y Fm(and)39 b(the)h(R-F)-8 b(o)s(c)m(k)39 b(space,)j(spanned)f(b)m(y)f Fj(B)1642 4333 y Fk(+)p Fl(n)1740 4342 y Fc(2)1637 4398 y Fk(2)1779 4376 y Ff(j)1807 4355 y Fm(~)1807 4376 y(0)o Ff(i)1894 4391 y Fl(R)1952 4376 y Fm(,)h(where)f Ff(j)2336 4355 y Fm(~)2336 4376 y(0)p Ff(i)2424 4391 y Fl(C)5 b(M)2597 4376 y Ff(/)40 b Fj(e)2759 4340 y Fe(\000)2824 4312 y Fd(!)p 2824 4324 41 4 v 2829 4366 a Fc(2)2874 4340 y Fl(M)2959 4323 y(~)2949 4340 y(R)3002 4316 y Fc(2)3081 4376 y Fm(and)f Ff(j)3305 4355 y Fm(~)3305 4376 y(0)p Ff(i)3393 4391 y Fl(R)3489 4376 y Ff(/)24 4576 y Fj(e)69 4536 y Fe(\000)134 4509 y Fd(!)p 134 4521 V 139 4562 a Fc(2)196 4478 y Fb(P)284 4565 y Fd(i)322 4536 y Fl(m)384 4546 y Fd(i)412 4536 y Fl(~)-36 b(\032)447 4512 y Fc(2)447 4559 y Fd(i)485 4576 y Fm(.)91 b(W)-8 b(e)48 b(p)s(oin)m(t)g(out)g (that)g(the)g(R-mo)s(des)g(are)g(univ)m(ersal)g(for)f(all)g(systems)i (with)24 4775 y(underlying)d(conformal)f Fj(S)6 b(U)k Fm(\(1)p Fj(;)17 b Fm(1\))47 b(symmetry)-8 b(,)51 b(i.e.)86 b(for)47 b(the)g(Hamiltonians)d(of)j(the)g(form)24 4974 y Fj(H)35 b Fm(=)27 b Ff(\000)p Fj(T)377 4989 y Fe(\000)459 4974 y Fm(+)22 b Fj(!)622 4938 y Fk(2)661 4974 y Fj(T)718 4989 y Fk(+)799 4974 y Fm(+)g Fj(\015)5 b(T)1010 4989 y Fk(0)1050 4974 y Fm(,)33 b(where)g Fj(T)1448 4989 y Fe(\006)1508 4974 y Fj(;)17 b(T)1609 4989 y Fk(0)1680 4974 y Fm(satisfy)33 b Fj(S)6 b(U)k Fm(\(1)p Fj(;)17 b Fm(1\))32 b(algebra)g(\(8\).)1746 5269 y(10)p eop %%Page: 11 11 11 10 bop 24 159 a Fm(Closer)35 b(insp)s(ection)f(of)h(the)h(R-F)-8 b(o)s(c)m(k)34 b(space)j(of)e(the)g(Hamiltonian)2551 133 y(~)2526 159 y Fj(H)2607 174 y Fl(R)2664 159 y Fm(,)h(Eq.\(23\),)g (rev)m(eals)g(the)24 358 y(existence)e(of)e(the)h(univ)m(ersal)f (critical)e(p)s(oin)m(t)i(de\014ned)i(b)m(y)g(the)f(zero-energy)g (condition)1099 601 y Fj(E)1171 616 y Fk(0)p Fl(R)1292 601 y Fm(=)1405 534 y(\()p Fj(N)g Ff(\000)22 b Fm(1\))p Fj(D)p 1405 578 419 4 v 1590 670 a Fm(2)1856 601 y(+)1964 534 y(1)p 1964 578 49 4 v 1964 670 a(2)2039 518 y Fb(X)2044 703 y Fl(i)p Fe(6)p Fk(=)p Fl(j)2176 601 y Fj(\027)2224 616 y Fl(ij)2312 601 y Fm(=)28 b(0)p Fj(:)902 b Fm(\(24\))24 868 y(A)m(t)33 b(the)h(critical)e(p)s(oin)m(t)g(the)i(system)h(describ) s(ed)f(b)m(y)2004 843 y(~)1979 868 y Fj(H)2060 883 y Fl(R)2151 868 y Fm(collapses)f(completely)-8 b(.)45 b(This)34 b(means)24 1067 y(that)i(the)h(relativ)m(e)f(co)s(ordinates,)h(the)g (relativ)m(e)f(momen)m(ta)g(and)h(the)g(relativ)m(e)f(energy)h(are)g (all)24 1266 y(zero)32 b(at)f(this)h(critical)d(p)s(oin)m(t.)42 b(There)33 b(surviv)m(es)h(only)d(one)h(oscillator,)d(describing)j(the) g(motion)24 1466 y(of)f(the)g(cen)m(tre-of-mass.)44 b(Suc)m(h)32 b(b)s(eha)m(viour)g(resem)m(bles)g(some)f(features)h(of)f(the)h (Bose-Einstein)24 1665 y(condensate.)48 b(It)34 b(w)m(as)g(\014rst)h (noticed)e(in)g(Ref.[9])h(for)f(the)h(case)h Fj(D)d Fm(=)d(1,)34 b Fj(\027)2731 1680 y Fl(ij)2822 1665 y Fm(=)29 b Fj(\027)40 b Fm(and)34 b Fj(m)3291 1680 y Fl(i)3349 1665 y Fm(=)c Fj(m)p Fm(.)24 1864 y(In)k(that)h(case)g(the)g(critical)d(p)s(oin)m(t)h (\(24\))h(is)g(simply)f(at)h Fj(\027)j Fm(=)31 b Ff(\000)2358 1825 y Fk(1)p 2344 1841 64 4 v 2344 1899 a Fl(N)2418 1864 y Fm(.)49 b(\(Notice)34 b(that)g(there)h(is)f(also)24 2063 y(critical)c(p)s(oin)m(t)j(at)g Fj(\027)i Fm(=)29 b(1)22 b(+)1106 2024 y Fk(1)p 1092 2040 V 1092 2098 a Fl(N)1199 2063 y Fm(for)32 b(this)h(case\).)47 b(Of)32 b(course,)j(for)e(the)g(initial)d(Hamiltonian)f Fj(H)8 b Fm(,)24 2263 y(Eq.\(3\),)40 b(whic)m(h)e(is)g(not)g(unitary)f(\(i.e.) 60 b(ph)m(ysically\))37 b(equiv)-5 b(alen)m(t)38 b(to)2614 2238 y(~)2589 2263 y Fj(H)8 b Fm(,)39 b(this)f(corresp)s(onds)h(to)24 2462 y(some)32 b Fj(\027)316 2477 y Fl(ij)404 2462 y Fj(<)c Fm(0,)k(satsfying)h(Eq.\(24\),)g(and)f(the)h(norm)f(of)g(the)h (w)m(a)m(v)m(e)h(function)e(\(1\))h(blo)m(ws)f(up)h(at)24 2661 y(the)27 b(critical)e(p)s(oin)m(t.)41 b(F)-8 b(or)26 b Fj(\027)1014 2676 y Fl(ij)1102 2661 y Fm(negativ)m(e)h(but)h(greater) f(than)g(the)h(critical)d(v)-5 b(alues)27 b(\(24\),)g(the)h(w)m(a)m(v)m (e)24 2860 y(function)44 b(is)h(singular)e(at)i(coincidence)g(p)s(oin)m (ts)f(but)i(still)c(quadratically)h(in)m(tegrable.)80 b(Out)24 3060 y(of)41 b(the)h(critical)e(p)s(oin)m(t)g(w)m(e)j(ha)m(v)m (e)g(one-to-one)f(corresp)s(ondence)h(b)s(et)m(w)m(een)h(our)e(m)m (ultisp)s(ecies)24 3259 y(system)48 b(\(6\))g(and)g(the)g(system)h(of)f Fj(N)58 b Fm(D-dimensional)44 b(free)49 b(oscillators,)g(at)f(least)f (for)g(the)24 3458 y(dilatation)29 b(states)k Fj(B)824 3415 y Fk(+)p Fl(n)922 3424 y Fc(2)819 3480 y Fk(2)961 3458 y Ff(j)989 3437 y Fm(~)989 3458 y(0)p Ff(i)1077 3473 y Fl(R)1134 3458 y Fm(.)24 3854 y Fg(4)161 b(Conclusion)24 4223 y Fm(In)41 b(summary)-8 b(,)43 b(w)m(e)f(ha)m(v)m(e)g(de\014ned)h (a)d(non)m(trivial)f(man)m(y-b)s(o)s(dy)i(Hamiltonian)c Fj(H)49 b Fm(\(Eq.\(3\)\))41 b(of)24 4422 y(Calogero)35 b(t)m(yp)s(e)i(in)e(D)h(dimensions)f(with)h(t)m(w)m(o-)g(and)g(three-b) s(o)s(dy)h(in)m(teractions)e(among)g(non-)24 4621 y(iden)m(tical)23 b(particles.)40 b(Strength)26 b(of)f(the)h(in)m(teractions,)g Fj(\027)2092 4636 y Fl(ij)2153 4621 y Fm(,)h(dep)s(ends)f(on)g(the)f (particle's)g(sp)s(ecies)24 4820 y(and)32 b(this)h(feature)g(mak)m(es)g (an)m(y)h(analysis)e(of)g(suc)m(h)i(a)f(mo)s(del)e(non)m(trivial,)f(ev) m(en)35 b(in)d Fj(D)e Fm(=)e(1.)44 b(Us-)24 5020 y(ing)36 b(underlying)g Fj(S)6 b(U)k Fm(\(1)p Fj(;)17 b Fm(1\))37 b(structure)h(of)e(the)i(transformed)f(Hamiltonian)2927 4994 y(~)2902 5020 y Fj(H)44 b Fm(\(Eq.\(6\)\))38 b(and)1746 5269 y(11)p eop %%Page: 12 12 12 11 bop 24 159 a Fm(Bargmann)29 b(represen)m(tation)i(w)m(e)g (outlined)f(a)g(pro)s(cedure)h(whic)m(h)g(ga)m(v)m(e)g(in)f(principle)e (all)h(eigen-)24 358 y(states)i(of)f(the)i(Hamiltonian.)39 b(While)29 b(w)m(e)j(w)m(ere)g(unable)f(to)f(solv)m(e)h(corresp)s (onding)g(di\013eren)m(tial)24 557 y(equations)c(\(11,12\),)h(w)m(e)h (w)m(ere)g(able)e(to)g(\014nd)h(some)f(general)g(features)i(of)e(the)h (solutions.)41 b(There)24 756 y(are)34 b(to)m(w)m(ers)i(of)e(states)h (with)f(equidistan)m(t)h(energy)g(sp)s(ectra.)50 b(In)35 b(eac)m(h)g(to)m(w)m(er)h(t)m(w)m(o)f(neigh)m(b)s(our-)24 956 y(ing)h(states)i(di\013er)f(in)g(energy)h(b)m(y)h(2)p Fj(!)t Fm(.)57 b(Moreo)m(v)m(er,)40 b(w)m(e)f(managed)d(to)i(solv)m(e) 2924 930 y(~)2898 956 y Fj(H)45 b Fm(partially)-8 b(,)36 b(i.e.)24 1155 y(w)m(e)c(explicitely)e(found)h(its)g(global)e (collectiv)m(e)h(states,)j(corresp)s(onding)e(to)g(the)h(cen)m (ter-of-mass)24 1354 y(motion)24 b(and)j(the)h(relativ)m(e)e(motion)f (of)h(particles.)41 b(Those)28 b(are)f(all)e(p)s(olynomial)e(solution)i (in)h(the)24 1553 y(Bargmann)37 b(represen)m(tation)i(in)e(generic)i (case.)61 b(W)-8 b(e)39 b(also)e(found)h(their)g(eigenenergies.)61 b(The)24 1753 y(sp)s(ectrum)39 b(of)g(collectiv)m(e)f(mo)s(des,)j (Eq.\(20\),)g(is)d(linear,)i(equidistan)m(t)f(and)g(degenerate.)64 b(It)39 b(is)24 1952 y(also)f(found)h(that,)i(for)909 1885 y Fb(P)996 1973 y Fl(i)p Fe(6)p Fk(=)p Fl(j)1128 1952 y Fj(\027)1176 1967 y Fl(ij)1276 1952 y Fm(=)e Ff(\000)p Fm(\()p Fj(N)e Ff(\000)27 b Fm(1\))p Fj(D)s Fm(,)41 b(the)e(F)-8 b(o)s(c)m(k)39 b(space,)k(corresp)s(onding)c(to)f(the)24 2151 y(relativ)m(e)j(motion)g(of)h(particles,)i(con)m(tained)e(states)i (of)e(zero)h(norm)e(and)i(the)g(whole)f(system)24 2350 y(exhibited)34 b(singular)e(b)s(eha)m(viour.)49 b(A)m(t)34 b(this)g(critical)e(p)s(oin)m(t)i(the)g(ground)h(state)f(w)m(a)m(v)m(e) i(function)24 2550 y(of)c(the)h(Hamiltonian)c Fj(H)8 b Fm(,)32 b(Eq.\(3\),)h(p)s(osseses)i(in\014nite)c(norm.)24 2749 y(If)45 b(w)m(e)h(consider)g(iden)m(tical)d(Bose)j(\(F)-8 b(ermi\))43 b(particles,)48 b(with)d Fj(m)2453 2764 y Fl(i)2530 2749 y Fm(=)k Fj(m)p Fm(,)g(and)d Fj(\027)3067 2764 y Fl(ij)3176 2749 y Fm(=)k Fj(\027)6 b Fm(,)48 b(the)24 2948 y(eigenstates)33 b(are)f(restricted)h(to)f Fj(S)1293 2963 y Fl(N)1360 2948 y Fm(-symmetric)f(\(an)m(tisymmetric\))g (functions)i(and)f(the)h(criti-)24 3147 y(cal)i(p)s(oin)m(t)g(is)h(at)g Fj(\027)k Fm(=)33 b Ff(\000)948 3108 y Fl(D)p 946 3124 64 4 v 946 3182 a(N)1020 3147 y Fm(.)54 b(Our)36 b(analysis)f(of)h(m)m (ultisp)s(ecies)f(Calogero)g(mo)s(del)f(giv)m(es)j(deep)s(er)24 3347 y(insigh)m(t)31 b(on)i(the)g(single-sp)s(ecies)f(Calogero)f(mo)s (dels)h(in)f(higher)h(dimensions.)24 3546 y(All)26 b(results)j(presen)m (ted)i(here)e(are)f(common)f(and)h(univ)m(ersal)h(for)e(all)g(systems)i (with)f(underlying)24 3745 y(conformal)j Fj(S)6 b(U)k Fm(\(1)p Fj(;)17 b Fm(1\))33 b(symmetry)-8 b(.)46 b(The)34 b(p)s(oten)m(tially)d(most)i(in)m(teresting)g(applications)e(of)i(our) 24 3944 y(results)g(migh)m(t)e(b)s(e)h(in)g(t)m(w)m(o)i(dimensions)d (and)i(quan)m(tum)g(Hall)d(efect.)170 4414 y Fn(Ac)m(kno)m(wledgmen)m (t)24 4613 y Fm(This)d(w)m(ork)h(w)m(as)g(supp)s(orted)g(b)m(y)g(the)f (Ministry)g(of)f(Science)i(and)f(T)-8 b(ec)m(hnology)28 b(of)e(the)i(Republic)24 4812 y(of)k(Croatia)f(under)i(con)m(tracts)h (No.)43 b(0098003)31 b(and)i(No.)43 b(0119261.)1746 5269 y(12)p eop %%Page: 13 13 13 12 bop 24 159 a Fg(References)72 498 y Fm([1])49 b(F.)32 b(Calogero,)g(J.)h(Math.)g(Ph)m(ys.)p Fn(10)h Fm(\(1969\))e(2191;)224 697 y(F.)g(Calogero,)g(J.)h(Math.)g(Ph)m(ys.)p Fn(10)h Fm(\(1969\))e(2197;)224 896 y(F.)g(Calogero,)g(J.)h(Math.)g(Ph)m(ys.)p Fn(12)h Fm(\(1971\))e(419.)72 1179 y([2])49 b(See)33 b(e.g.)f(in:Calogero-Moser-Sutherland)f(Mo)s(dels,)h(in:)42 b(J.F.V)-8 b(an)32 b(Dijen)f(and)h(L.)g(Vinet)224 1378 y(\(Eds.\),)i(CRM)f(Series)g(in)f(Mathematical)e(Ph)m(ysics,)35 b(Springer,)d(Berlin)f(2000.)72 1660 y([3])49 b(B.D.Simmons,)31 b(P)-8 b(.A.Lee,)34 b(and)e(B.L.Altsh)m(uler,)h(Ph)m(ys.)h(Rev.)g (Lett.)e Fn(72)h Fm(\(1994\))e(64;)224 1860 y(L.Lap)s(oin)m(te)h(and)h (L.)f(Vinet,)h(Comm.Math.Ph)m(ys.)g Fn(178)g Fm(\(1996\))e(425.)72 2142 y([4])49 b(N.)33 b(Ka)m(w)m(ak)-5 b(ami)31 b(and)i(S.K.Y)-8 b(ang,)32 b(Ph)m(ys.)j(Rev.)e(Lett.)g Fn(67)f Fm(\(1991\))g(2493;)224 2341 y(N.F.Johnson)h(and)g(L.Quiroga,)e(Ph)m(ys.)k(Rev.)e(Lett.)g Fn(74)f Fm(\(1995\))g(4277;)224 2540 y(N.F.Johnson)h(and)g(L.Quiroga,)e (J.Ph)m(ys.)k(Condens.)f(Matter)f Fn(9)f Fm(\(1997\))g(5889;)224 2740 y(G.W.)h(Gibb)s(ons)e(and)i(P)-8 b(.K.)33 b(T)-8 b(o)m(wnsend,)35 b(Ph)m(ys.)f(Lett.)f(B)f Fn(454)h Fm(\(1999\))f(187;) 224 2939 y(D.Birmingham,)d(K.S.)k(Gupta,)f(and)h(S.)g(Sen,)g(Ph)m(ys.)h (Lett.)f(B)g Fn(505)f Fm(\(2001\))g(191.)72 3221 y([5])49 b(F.D.M.)32 b(Haldane,)h(Ph)m(ys.)h(Rev.)f(Lett.)g Fn(67)g Fm(\(1991\))e(937;)224 3420 y(Y.S.W)-8 b(u,)34 b(Ph)m(ys.)g(Rev.)f (Lett.)g Fn(73)g Fm(\(1994\))e(922;)224 3620 y(M.V.N.Murth)m(y)k(and)e (R.Shank)-5 b(ar,)32 b(Ph)m(ys.)j(Rev.)e(Lett.)g Fn(73)f Fm(\(1994\))g(3331;)224 3819 y(S.Mashk)m(evic)m(h,)j(Ph)m(ys.Lett.)g(A) e Fn(233)f Fm(\(1997\))g(30.)72 4101 y([6])49 b(P)-8 b(.)33 b(F)-8 b(orrester,)33 b(J.)g(Ph)m(ys.)h(A:)f(Math.)g(Gen.)f Fn(25)h Fm(\(1992\))e(L607;)224 4300 y(C.)i(F)-8 b(urtlehner,)33 b(S.)f(Ouvry)-8 b(,)34 b(Mo)s(d.Ph)m(ys.Lett.)h(B)p Fn(9)d Fm(\(1995\))g(503;)224 4500 y(D.)g(Sen,)i(Nucl.)e(Ph)m(ys.)i(B)f Fn(479)g Fm(\(1996\))e(554;)224 4699 y(A.)i(Dasniers)f(de)h(V)-8 b(eigy)g(,)32 b(Nucl.)h(Ph)m(ys.)h(B)f Fn(483)g Fm(\(1997\))e(580.)72 4981 y([7])49 b(S.)33 b(Meljanac,)f(M.)h(Milek)m(o)m(vi)m(\023)-46 b(c)33 b(A.Samsaro)m(v,)f(Ph)m(ys.)j(Lett.)e(B)p Fn(573)f Fm(\(2003\))g(202.)1746 5269 y(13)p eop %%Page: 14 14 14 13 bop 72 159 a Fm([8])49 b(G.Date,)32 b(P)-8 b(.K.Ghosh,)33 b(M.V.N.Murth)m(y)-8 b(,)35 b(Ph)m(ys.)f(Rev.)g(Lett.)e Fn(81)h Fm(\(1998\))e(3051;)224 358 y(M.V.N.Murth)m(y)-8 b(,)35 b(R.K.Bhaduri,)d(D.Sen,)h(Ph)m(ys.)h(Rev.)g(Lett.)e Fn(76)h Fm(\(1996\))e(4103;)224 557 y(A.Khare,)i(K.Ra)m(y)-8 b(,)33 b(Ph)m(ys.Lett.A)i Fn(230)d Fm(\(1997\))g(139;)224 756 y(R.K.Ghosh,)h(S.Rao,)f(Ph)m(ys.Lett.A)j Fn(238)d Fm(\(1998\))g(213;)224 956 y(P)-8 b(.K.Ghosh,)33 b(Ph)m(ys.Lett.A)i Fn(229)e Fm(\(1997\))e(203;)224 1155 y(P)-8 b(.K.Ghosh,)33 b(J.)g(Ph)m(ys.)h(A:)f(Math.)g(Gen.)g Fn(34)f Fm(\(2001\))g(5583.)72 1437 y([9])49 b(N.)33 b(Gurappa,)f(P)-8 b(.K.)33 b(P)m(anigrahi,)e(Ph)m (ys.Rev.)k(B)e Fn(59)f Fm(\(1999\))g(R2490;)224 1636 y(N.)h(Gurappa,)f(P)-8 b(.K.)33 b(P)m(anigrahi,)e(Ph)m(ys.Rev.)k(B)e Fn(67)f Fm(\(2003\))g(155323.)24 1919 y([10])48 b(V.)33 b(Bardek,)g(L.)f(Jonk)m(e,)h(S.)g(Meljanac,)f(M.)h(Milek)m(o)m(vi)m (\023)-46 b(c,)32 b(Ph)m(ys.Lett.)i(B)e Fn(531)g Fm(\(2002\))g(311.)24 2201 y([11])48 b(F.Calogero,)31 b(C.Marc)m(hioro,)i(J.)g(Math.)g(Ph)m (ys.)h Fn(14)f Fm(\(1973\))e(182.)24 2483 y([12])48 b(C.L.Kane,)34 b(S.Kiv)m(elson,)e(D.H.Lee,)h(S.C.Zhang,)g(Ph)m(ys.Rev.)i(B)e Fn(43)f Fm(\(1991\))g(3255.)24 2765 y([13])48 b(M.)33 b(V)-8 b(asiliev,)31 b(In)m(t.J.)j(Mo)s(d.)e(Ph)m(ys.)j(A)d Fn(6)h Fm(\(1991\))e(1115;)224 2965 y(A.P)-8 b(.)33 b(P)m(olyc)m (hronak)m(os,)h(Ph)m(ys.)h(Rev.)e(Lett.)g Fn(69)f Fm(\(1992\))g(703;) 224 3164 y(L.)h(Brink,)f(T.H.)h(Hansson,)h(M.)f(V)-8 b(asiliev,)31 b(Ph)m(ys.Lett.)k(B)d Fn(286)h Fm(\(1992\))e(109;)224 3363 y(L.)h(Brink,)g(T.H.)h(Hansson,)g(S.E.)g(Konstein,)f(M.)h(V)-8 b(asiliev,)31 b(Nucl.)h(Ph)m(ys.)i(B)e Fn(384)g Fm(\(1993\))224 3562 y(591;)224 3762 y(N.)h(Gurappa,)f(P)-8 b(.K.)33 b(P)m(anigrahi,)e(V.)i(Sriniv)-5 b(asan,)31 b(Mo)s(d.Ph)m(ys.Lett.)k(A) p Fn(13)e Fm(\(1998\))e(339;)224 3961 y(S.)i(Meljanac,)f(M.)h(Milek)m (o)m(vi)m(\023)-46 b(c)33 b(,)f(M.)h(Sto)5 b(ji)m(\023)-46 b(c,)32 b(Eur.)h(Ph)m(ys.)i(J.)e(C)g Fn(60)f Fm(\(2002\))g(331.)24 4243 y([14])48 b(A.M.)79 b(P)m(erelomo)m(v,)89 b(Generalized)77 b(Coheren)m(t)j(States)e(and)h(Their)f(Applications,)224 4442 y(Springer,)32 b(Berlin,)g(1986.)1746 5269 y(14)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF