Lobachevsky geometry in TTW and PW systems

T. Hakobyan, A. Nersessian, H. Shmavonyan

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    We review the classical properties of Tremblay–Turbiner–Winternitz and Post–Wintenitz systems and their relation with N-dimensional rational Calogero model with oscillator and Coulomb potentials, paying special attention to their hidden symmetries. Then we show that combining the radial coordinate and momentum in a single complex coordinate in a proper way, we get an elegant description for the hidden and dynamical symmetries in these systems related with action–angle variables.

    Original languageEnglish
    Pages (from-to)598-604
    Number of pages7
    JournalPhysics of Atomic Nuclei
    Volume80
    Issue number3
    DOIs
    Publication statusPublished - 1 May 2017

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    symmetry
    Coulomb potential
    geometry
    oscillators
    momentum

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics
    • Nuclear and High Energy Physics

    Cite this

    Hakobyan, T., Nersessian, A., & Shmavonyan, H. (2017). Lobachevsky geometry in TTW and PW systems. Physics of Atomic Nuclei, 80(3), 598-604. https://doi.org/10.1134/S1063778817030085

    Lobachevsky geometry in TTW and PW systems. / Hakobyan, T.; Nersessian, A.; Shmavonyan, H.

    In: Physics of Atomic Nuclei, Vol. 80, No. 3, 01.05.2017, p. 598-604.

    Research output: Contribution to journalArticle

    Hakobyan, T, Nersessian, A & Shmavonyan, H 2017, 'Lobachevsky geometry in TTW and PW systems', Physics of Atomic Nuclei, vol. 80, no. 3, pp. 598-604. https://doi.org/10.1134/S1063778817030085
    Hakobyan, T. ; Nersessian, A. ; Shmavonyan, H. / Lobachevsky geometry in TTW and PW systems. In: Physics of Atomic Nuclei. 2017 ; Vol. 80, No. 3. pp. 598-604.
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