Inequivalent quantization of the rational Calogero model with a Coulomb type interaction
High Energy Physics - Theory
2010-05-12 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider the inequivalent quantizations of a -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.
Keywords
Cite
@article{arxiv.0805.2509,
title = {Inequivalent quantization of the rational Calogero model with a Coulomb type interaction},
author = {B. Basu-Mallick and Kumar S. Gupta and S. Meljanac and A. Samsarov},
journal= {arXiv preprint arXiv:0805.2509},
year = {2010}
}
Comments
15 pages, 3 figures, revtex4, typos corrected, to appear in EPJC