Eur. Phys. J. C (2008) 58: 159-170
https://doi.org/10.1140/epjc/s10052-008-0729-9

Regular Article - Theoretical Physics

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

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: asamsarov@irb.hr

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.