Integrability and separation of variables in Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems

Tigran Hakobyan, Armen Nersessian

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    7 Citations (Scopus)

    Abstract

    We propose the integrable N-dimensional Calogero-Coulomb-Stark and two-center Calogero-Coulomb systems and construct their constants of motion via the Dunkl operators. Their Schrödinger equations decouple in parabolic and elliptic coordinates into the set of three differential equations like for the Coulomb-Stark and two-center Coulomb problems. The Calogero term preserves the energy levels, but changes their degrees of degeneracy.

    Original languageEnglish
    Article number045025
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume93
    Issue number4
    DOIs
    Publication statusPublished - 23 Feb 2016

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    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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