Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution

Eva Gevorgyan, Armen Nersessian, Vadim Ohanyan, Evgeny Tolkachev

    Research output: Contribution to journalArticle

    Abstract

    We define the Landau problem on two-dimensional ellipsoid, hyperboloid and paraboloid of revolution. Starting from the two-center McIntosh-Cisneros-Zwanziger (MICZ)-Kepler system and making the reduction into these two-dimensional surfaces, we obtain the Hamiltonians of the charged particle moving on the corresponding surface of revolution in the magnetic field conserving the symmetry of the two-dimensional surface (Landau problem). For each case we figure out the values of parameter for which the qualitative character of the motion coincides with that of a free particle moving on the same two-dimensional surface. For the case of finite trajectories we construct the action-angle variables.

    Original languageEnglish
    Article number1450148
    JournalModern Physics Letters A
    Volume29
    Issue number29
    DOIs
    Publication statusPublished - 21 Sep 2014

    Fingerprint

    ellipsoids
    charged particles
    trajectories
    symmetry
    magnetic fields

    Keywords

    • Hamilton-Jacobi method
    • Landau problem
    • Magnetic monopoles

    ASJC Scopus subject areas

    • Astronomy and Astrophysics
    • Nuclear and High Energy Physics

    Cite this

    Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution. / Gevorgyan, Eva; Nersessian, Armen; Ohanyan, Vadim; Tolkachev, Evgeny.

    In: Modern Physics Letters A, Vol. 29, No. 29, 1450148, 21.09.2014.

    Research output: Contribution to journalArticle

    Gevorgyan, E, Nersessian, A, Ohanyan, V & Tolkachev, E 2014, 'Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution', Modern Physics Letters A, vol. 29, no. 29, 1450148. https://doi.org/10.1142/S021773231450148X
    Gevorgyan, Eva ; Nersessian, Armen ; Ohanyan, Vadim ; Tolkachev, Evgeny. / Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution. In: Modern Physics Letters A. 2014 ; Vol. 29, No. 29.
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