Interaction of Regular and Chaotic States
Nuclear Theory
2008-11-26 v1 Disordered Systems and Neural Networks
Mesoscale and Nanoscale Physics
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.
Keywords
Cite
@article{arxiv.nucl-th/0611009,
title = {Interaction of Regular and Chaotic States},
author = {A. De Pace and A. Molinari and H. A. Weidenmueller},
journal= {arXiv preprint arXiv:nucl-th/0611009},
year = {2008}
}
Comments
26 pages, 9 figures