An Interdisciplinary Journal

* 2006, Vol.9, No.3, pp.240-248*

In the reference [B. Grémaud, Phys. Rev. E 65, 056207 (2002)]
first-order corrections to Gutzwiller's trace formula for
systems with a smooth potential were presented. Here we present an extension
of that theory to systems with discrete symmetries. We apply the method to
the two-dimensional hydrogen atom in a uniform magnetic field and exploit
the -symmetry in the calculation of the correction terms. The
numerical results for the semiclassical values are compared with values
extracted from exact quantum mechanical calculations. The comparison shows
a very good agreement.

*Key words: *
semiclassical theories, Gutzwiller's trace formula,
expansions, discrete symmetries, diamagnetic hydrogen atom

Full text: Acrobat PDF (402KB)

Copyright © Nonlinear Phenomena in Complex Systems.
Last updated: *September 6, 2006*