Runge-Lenz vector in the Calogero-Coulomb problem

Tigran Hakobyan, Armen Nersessian

Research output: Contribution to journal › Article

Abstract

We construct the Runge-Lenz vector and the symmetry algebra of the rational Calogero-Coulomb problem using the Dunkl operators. We reveal that they are proper deformations of their Coulomb counterpart. Together with similar correspondence between the Calogero oscillator and oscillator models, this observation permits the claim that most of the properties of the Coulomb and oscillator systems can be lifted to their Calogero-extended analogs by the proper replacement of the momenta by the Dunkl momenta operators.

Original language	English
Article number	022111
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	92
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.92.022111
Publication status	Published - 12 Aug 2015

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ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Cite this

Hakobyan, T., & Nersessian, A. (2015). Runge-Lenz vector in the Calogero-Coulomb problem. Physical Review A - Atomic, Molecular, and Optical Physics, 92(2), [022111]. https://doi.org/10.1103/PhysRevA.92.022111

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Access to Document

10.1103/PhysRevA.92.022111