hbar expansions in semiclassical theories for systems with smooth potentials and discrete symmetries

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dc.creatorCartarius, Holger
dc.creatorMain, Jörg
dc.creatorWunner, Günter
dc.date2005-10-21
dc.date2006-01-30
dc.date.accessioned2026-07-07T07:37:46Z
dc.date.available2026-07-07T07:37:46Z
dc.descriptionWe extend a theory of first order hbar 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_{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 hbar expansion method.
dc.description32 pages, 3 figures; accepted for publication in Annals of Physics
dc.identifierhttps://arxiv.org/abs/nlin/0510051
dc.identifierhttp://arxiv.org/abs/nlin/0510051
dc.identifierAnnals of Physics 322 (2007), 315-340
dc.identifierdoi:10.1016/j.aop.2006.01.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120886
dc.subjectChaotic Dynamics
dc.titlehbar expansions in semiclassical theories for systems with smooth potentials and discrete symmetries
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