Spherical Calogero model with oscillator/Coulomb potential: Classical case

Francisco Correa, Tigran Hakobyan, Olaf Lechtenfeld, Armen Nersessian

    Research output: Contribution to journal › Article

    7 Citations (Scopus)

    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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    Coulomb potential
    oscillators
    generators
    symmetry
    matrices

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Spherical Calogero model with oscillator/Coulomb potential : Classical case. / Correa, Francisco; Hakobyan, Tigran; Lechtenfeld, Olaf; Nersessian, Armen.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 93, No. 12, 125008, 07.06.2016.

    Research output: Contribution to journal › Article

    Correa, F, Hakobyan, T, Lechtenfeld, O & Nersessian, A 2016, 'Spherical Calogero model with oscillator/Coulomb potential: Classical case', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 93, no. 12, 125008. https://doi.org/10.1103/PhysRevD.93.125009
    Correa F, Hakobyan T, Lechtenfeld O, Nersessian A. Spherical Calogero model with oscillator/Coulomb potential: Classical case. Physical Review D - Particles, Fields, Gravitation and Cosmology. 2016 Jun 7;93(12). 125008. https://doi.org/10.1103/PhysRevD.93.125009
    Correa, Francisco ; Hakobyan, Tigran ; Lechtenfeld, Olaf ; Nersessian, Armen. / Spherical Calogero model with oscillator/Coulomb potential : Classical case. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2016 ; Vol. 93, No. 12.
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