Statistical fluctuations of matrix elements in regular and chaotic systems
- 1 January 1989
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 39 (1), 374-377
- https://doi.org/10.1103/physreva.39.374
Abstract
A combination of semiclassical arguments and random-matrix theory is used to analyze transition strengths in quantum systems whose associated classical systems are chaotic. The mean behavior is found semiclassically while the local fluctuations are characterized by a Porter-Thomas distribution. The methods are tested numerically for a system with two degrees of freedom, the coupled-rotators model. The deviations of the strength distribution from a Porter-Thomas one when the system is nonchaotic are also investigated. It is found that the distribution gets gradually wider as the classical system becomes more regular.Keywords
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