Journal
ANNALS OF PHYSICS
Volume 322, Issue 10, Pages 2446-2468Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2006.11.010
Keywords
chaos; random-matrix theory; doorway state; spreading width
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Modelling the chaotic states in terms of the Gaussian Orthogonal Ensemble of random matrices (GOE), we investigate the interaction of the GOE with regular bound states. The eigenvalues of the latter may or may not be embedded in the GOE spectrum. We derive a generalized form of the Pastur equation for the average Green's function. We use that equation to study the average and the variance of the shift of the regular states, their spreading width, and the deformation of the GOE spectrum non-perturbatively. We compare our results with various perturbative approaches. (c) 2006 Elsevier Inc. All rights reserved.
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