Inequivalent quantization of the rational Calogero model with a Coulomb type interaction (CROSBI ID 146209)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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