Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution; Modern Physics Letters A; Vol. 29, iss. 29
| Parent link: | Modern Physics Letters A: Scientific Journal Vol. 29, iss. 29.— 2014.— [1450148, 15 р.] |
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| Other Authors: | , , , |
| 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
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| Subjects: | |
| 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 |