Runge-Lenz vector in Calogero-Coulomb problem
High Energy Physics - Theory
2015-08-19 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
We construct the Runge-Lenz vector and symmetry algebra of rational Calogero-Coulomb problem, formulated in terms of Dunkl operators. We find that they are proper deformations of their Coulomb counterpart. Together with similar correspondence between the Calogero-oscillator and oscillator models, this observation permits to claim that most of properties of Coulomb and oscillator systems can be lifted to their Calogero-extended analogs by the proper replacement of momenta by Dunkl momenta operators.
Cite
@article{arxiv.1504.00760,
title = {Runge-Lenz vector in Calogero-Coulomb problem},
author = {Tigran Hakobyan and Armen Nersessian},
journal= {arXiv preprint arXiv:1504.00760},
year = {2015}
}
Comments
6 pages, published version