Parametric motion of energy levels in quantum chaotic systems. II. Avoided-crossing distributions

Bibliographic description

title:	Parametric motion of energy levels in quantum chaotic systems. II. Avoided-crossing distributions
author:	Zakrzewski Jakub , Delande Dominique, Kuś Marek
journal title:	Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
volume:	47
issue:	3
date of publication :	1993
article ID:	1665
ISSN:	1063-651X
eISSN:	1095-3787 1538-4519
DOI:	10.1103/PhysRevE.47.1665
language:	English
journal language:	English
abstract in English:	Statistical properties of levels of quantum systems chaotic in the classical limit are studied using the distribution of avoided crossings, i.e., of the sizes of local minima of adjacent-level spacings. The results obtained previously for the two-level random-matrix theory are compared with the prediction of the statistical-mechanics description of the equivalent fictitious-particle system. The distributions derived are compared with numerical results obtained for several physical systems. The origin of the discrepancies (in former numerical calculations) of small-avoided-crossing behavior is found. The ratio of the average crossing to the average spacing is shown to have a nonuniversal behavior and seems to provide information on the degree of scarring in the system studied.
number of pulisher's sheets:	1
type:	journal article
subtype:	academic paper

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