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 language | English |
|---|---|
| Article number | 1450148 |
| Journal | Modern Physics Letters A |
| Volume | 29 |
| Issue number | 29 |
| DOIs | |
| Publication status | Published - 21 Sep 2014 |
Keywords
- Hamilton-Jacobi method
- Landau problem
- Magnetic monopoles
ASJC Scopus subject areas
- Astronomy and Astrophysics
- Nuclear and High Energy Physics
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Gevorgyan, E., Nersessian, A., Ohanyan, V., & Tolkachev, E. (2014). Landau problem on the ellipsoid, hyperboloid and paraboloid of revolution. Modern Physics Letters A, 29(29), [1450148]. https://doi.org/10.1142/S021773231450148X