Lobachevsky geometry in TTW and PW systems

T. Hakobyan, A. Nersessian, H. Shmavonyan

    Research output: Contribution to journalArticle

    3 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

    ASJC Scopus subject areas

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

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  • 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