Runge-Lenz vector in the Calogero-Coulomb problem

Tigran Hakobyan, Armen Nersessian

    Research output: Contribution to journalArticlepeer-review

    11 Citations (Scopus)


    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 languageEnglish
    Article number022111
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Issue number2
    Publication statusPublished - 12 Aug 2015

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

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