h expansions in semiclassical theories for systems with smooth potentials and discrete symmetries
Journal Article
·
· Annals of Physics (New York)
- 1. Institut fuer Theoretische Physik, Universitaet Stuttgart, 70550 Stuttgart (Germany)
We extend a theory of first order h corrections to Gutzwiller's trace formula for systems with a smooth potential to systems with discrete symmetries and, as an example, apply the method to the two-dimensional hydrogen atom in a uniform magnetic field. We exploit the C {sub 4v}-symmetry of the system in the calculation of the correction terms. The numerical results for the semiclassical values will be compared with values extracted from exact quantum mechanical calculations. The comparison shows an excellent agreement and demonstrates the power of the h expansion method.
- OSTI ID:
- 20976727
- Journal Information:
- Annals of Physics (New York), Vol. 322, Issue 2; Other Information: DOI: 10.1016/j.aop.2006.01.006; PII: S0003-4916(06)00026-1; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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