Runge-Lenz vector in the Calogero-Coulomb problem

Tigran Hakobyan, Armen Nersessian

    Результат исследований: Материалы для журналаСтатья

    11 Цитирования (Scopus)

    Аннотация

    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.

    Язык оригиналаАнглийский
    Номер статьи022111
    ЖурналPhysical Review A - Atomic, Molecular, and Optical Physics
    Том92
    Номер выпуска2
    DOI
    СостояниеОпубликовано - 12 авг 2015

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

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