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.
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - 12 Aug 2015|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics