Runge-Lenz vector in the Calogero-Coulomb problem

Tigran Hakobyan, Armen Nersessian

    Результат исследований: Материалы для журналаСтатья

    11 Цитирования (Scopus)

    Выдержка

    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

    Отпечаток

    oscillators
    momentum
    operators
    algebra
    analogs
    symmetry

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Цитировать

    Runge-Lenz vector in the Calogero-Coulomb problem. / Hakobyan, Tigran; Nersessian, Armen.

    В: Physical Review A - Atomic, Molecular, and Optical Physics, Том 92, № 2, 022111, 12.08.2015.

    Результат исследований: Материалы для журналаСтатья

    Hakobyan, Tigran ; Nersessian, Armen. / Runge-Lenz vector in the Calogero-Coulomb problem. В: Physical Review A - Atomic, Molecular, and Optical Physics. 2015 ; Том 92, № 2.
    @article{7db6d1207d4d4533b777082a5d67eeac,
    title = "Runge-Lenz vector in the Calogero-Coulomb problem",
    abstract = "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.",
    author = "Tigran Hakobyan and Armen Nersessian",
    year = "2015",
    month = "8",
    day = "12",
    doi = "10.1103/PhysRevA.92.022111",
    language = "English",
    volume = "92",
    journal = "Physical Review A",
    issn = "1050-2947",
    publisher = "American Physical Society",
    number = "2",

    }

    TY - JOUR

    T1 - Runge-Lenz vector in the Calogero-Coulomb problem

    AU - Hakobyan, Tigran

    AU - Nersessian, Armen

    PY - 2015/8/12

    Y1 - 2015/8/12

    N2 - 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.

    AB - 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.

    UR - http://www.scopus.com/inward/record.url?scp=84939436047&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84939436047&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevA.92.022111

    DO - 10.1103/PhysRevA.92.022111

    M3 - Article

    AN - SCOPUS:84939436047

    VL - 92

    JO - Physical Review A

    JF - Physical Review A

    SN - 1050-2947

    IS - 2

    M1 - 022111

    ER -