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

    Fingerprint

    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.
    @article{69dd0439f6784b25b961165721b885cb,
    title = "Spherical Calogero model with oscillator/Coulomb potential: Classical case",
    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.",
    author = "Francisco Correa and Tigran Hakobyan and Olaf Lechtenfeld and Armen Nersessian",
    year = "2016",
    month = "6",
    day = "7",
    doi = "10.1103/PhysRevD.93.125009",
    language = "English",
    volume = "93",
    journal = "Physical review D: Particles and fields",
    issn = "1550-7998",
    publisher = "American Institute of Physics Publising LLC",
    number = "12",

    }

    TY - JOUR

    T1 - Spherical Calogero model with oscillator/Coulomb potential

    T2 - Classical case

    AU - Correa, Francisco

    AU - Hakobyan, Tigran

    AU - Lechtenfeld, Olaf

    AU - Nersessian, Armen

    PY - 2016/6/7

    Y1 - 2016/6/7

    N2 - 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.

    AB - 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.

    UR - http://www.scopus.com/inward/record.url?scp=84974621074&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84974621074&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevD.93.125009

    DO - 10.1103/PhysRevD.93.125009

    M3 - Article

    VL - 93

    JO - Physical review D: Particles and fields

    JF - Physical review D: Particles and fields

    SN - 1550-7998

    IS - 12

    M1 - 125008

    ER -

    Access to Document