Interaction of regular and chaotic states |
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Authors: | A De Pace A Molinari |
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Institution: | a Dipartimento di Fisica Teorica dell’Università di Torino and Istituto Nazionale di Fisica Nucleare, Sezione di Torino, via P.Giuria 1, I-10125 Torino, Italy b Max-Planck-Institut für Kernphysik, D-69029 Heidelberg, Germany |
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Abstract: | 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. |
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Keywords: | 21 10 -k 21 60 -n |
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