Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution

Eva Gevorgyan, Armen Nersessian, Vadim Ohanyan, Evgeny Tolkachev

    Результат исследований: Материалы для журналаСтатьярецензирование


    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.

    Язык оригиналаАнглийский
    Номер статьи1450148
    ЖурналModern Physics Letters A
    Номер выпуска29
    СостояниеОпубликовано - 21 сен 2014

    ASJC Scopus subject areas

    • Astronomy and Astrophysics
    • Nuclear and High Energy Physics

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