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Inequivalent quantizations of the rational Calogero model with a Coulomb type interaction


Basu-Mallick, Bireswar; Gupta, Kumar S.; Meljanac, Stjepan; Samsarov, Anđelo
Inequivalent quantizations of the rational Calogero model with a Coulomb type interaction // European physical journal C : particles and fields, 58 (2008), 1; 159-170 doi:10.1140/epjc/s10052-008-0729-9 (međunarodna recenzija, članak, znanstveni)


Naslov
Inequivalent quantizations of the rational Calogero model with a Coulomb type interaction
(Inequivalent quantization of the rational Calogero model with a Coulomb type interaction)

Autori
Basu-Mallick, Bireswar ; Gupta, Kumar S. ; Meljanac, Stjepan ; Samsarov, Anđelo

Izvornik
European physical journal C : particles and fields (1434-6044) 58 (2008), 1; 159-170

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Calogero model; self-adjoint extension; scattering states

Sažetak
We consider the inequivalent quantizations of a $N$-body rational Calogero model with a Coulomb type interaction. It is shown that for certain range of the coupling constants, this system admits a one-parameter family of self-adjoint extensions. We analyze both the bound and scattering state sectors and find novel solutions of this model. We also find the ladder operators for this system, with which the previously known solutions can be constructed.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA


Projekt / tema
098-0000000-2865 - Kvantna teorija polja, nekomutativni prostori i simetrije (Stjepan Meljanac, )
177-0372794-2816 - Lieve grupe, integrabilni sistemi i simetrije (Saša Krešić-Jurić, )

Ustanove
Institut "Ruđer Bošković", Zagreb

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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