Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution; Modern Physics Letters A; Vol. 29, iss. 29

Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution; Modern Physics Letters A; Vol. 29, iss. 29

Bibliographic Details
Parent link:Modern Physics Letters A: Scientific Journal
Vol. 29, iss. 29.— 2014.— [1450148, 15 р.]
Corporate Author: Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ)
Other Authors: Gevorgyan E. Eva, Nersessian A. P. Armen Petrosovich, Ohanyan V. Vadim, Tolkachev E. Evgeny
Summary:Title screen
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.
Режим доступа: по договору с организацией-держателем ресурса
Language:English
Published: 2014
Subjects:
электронный ресурс
труды учёных ТПУ
Online Access:http://dx.doi.org/10.1142/S021773231450148X
http://arxiv.org/abs/1304.3221
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641471

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