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

B. Basu-Mallick; Kumar S. Gupta; S. Meljanac; A. Samsarov

doi:10.1140/epjc/s10052-008-0729-9

EPJ

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

B. Basu-Mallick¹, Kumar S. Gupta¹, S. Meljanac² and A. Samsarov²^*

¹ Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta, 700064, India
² Rudjer Bošković Institute, Bijenička c.54, 10002, Zagreb, Croatia

^* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 4 July 2008
Published online: 23 September 2008

Abstract

We consider the inequivalent quantizations of a N-body rational Calogero model with a Coulomb type interaction. It is shown that for a 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 found solutions can be constructed.

PACS: 02.30.Ik – / 03.65.Fd – / 03.65.-w –

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EPJ

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

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