Runge-Lenz vector in the Calogero-Coulomb problem

Tigran Hakobyan, Armen Nersessian

    Research output: Contribution to journal › Article

    11 Citations (Scopus)

    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 languageEnglish
    Article number022111
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume92
    Issue number2
    DOIs
    Publication statusPublished - 12 Aug 2015

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    oscillators
    momentum
    operators
    algebra
    analogs
    symmetry

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Runge-Lenz vector in the Calogero-Coulomb problem. / Hakobyan, Tigran; Nersessian, Armen.

    In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 92, No. 2, 022111, 12.08.2015.

    Research output: Contribution to journal › Article

    Hakobyan, T & Nersessian, A 2015, 'Runge-Lenz vector in the Calogero-Coulomb problem', Physical Review A - Atomic, Molecular, and Optical Physics, vol. 92, no. 2, 022111. https://doi.org/10.1103/PhysRevA.92.022111
    Hakobyan T, Nersessian A. Runge-Lenz vector in the Calogero-Coulomb problem. Physical Review A - Atomic, Molecular, and Optical Physics. 2015 Aug 12;92(2). 022111. https://doi.org/10.1103/PhysRevA.92.022111
    Hakobyan, Tigran ; Nersessian, Armen. / Runge-Lenz vector in the Calogero-Coulomb problem. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2015 ; Vol. 92, No. 2.
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