On the Landau Levels on the Hyperbolic Plane
Apr, 198643 pages
Published in:
- Annals Phys. 173 (1987) 185
Report number:
- IPNO/TH-86-31
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Abstract: (Elsevier)
The classical and quantum mechanics of a charged particle moving on the hyperbolic plane in a constant magnetic field is discussed. The underlying SL (2, R ) symmetry leads to a general description of various possible trajectories. In contrast with the flat case, it is shown that closed orbits only arise for sufficiently strong fields. At the quantum level a group-theoretical approach including both bound and continuum states is presented. It is shown that the semiclassical approximation leads to the exact bound state spectrum. The resolvent and its flat space limit are constructed in closed form.References(27)
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