An Interdisciplinary Journal

* 1999, Volume 2, Number 2, pp.1--5*

We study the statistical properties of generalized intensities
(squared matrix elements of Hermitian operators) for the hydrogen
atom in strong magnetic fields in a range of parameters where the
classical analogue of the system exhibits completely chaotic dynamics.
In this way we extend previous work by Prosen and Robnik on the statistics
of generalized intensities in *billiard* systems in the transition
region with *mixed* classical dynamics. We observe deviations from
the statistics found in that work, and demonstrate that these are due to
the effect of scarring of wave functions by unstable periodic orbits.

Full text: Acrobat PDF (132KB) PostScript (404KB) PostScript.gz (137KB)

Copyright © Nonlinear Phenomena in Complex Systems.
Last updated: *February 11, 2001*