Spherical Calogero model with oscillator/Coulomb potential: Classical case

Francisco Correa, Tigran Hakobyan, Olaf Lechtenfeld, Armen Nersessian

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    Abstract

    We construct the Hamiltonians and symmetry generators of Calogero-oscillator and Calogero-Coulomb models on the N-dimensional sphere within the matrix-model reduction approach. Our method also produces the integrable Calogero-Coulomb-Stark model on the sphere and proves the integrability of the spin extensions of all these systems.

    Original languageEnglish
    Article number125008
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume93
    Issue number12
    DOIs
    Publication statusPublished - 7 Jun 2016

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    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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