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Inequivalent quantization of the rational Calogero model with a Coulomb type interaction (CROSBI ID 146209)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

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

Podaci o odgovornosti

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

engleski

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

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.

Calogero model ; self-adjoint extension ; scattering states

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Podaci o izdanju

58 (1)

2008.

159-170

objavljeno

1434-6044

1434-6052

10.1140/epjc/s10052-008-0729-9

Povezanost rada

Fizika

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