Interaction of Regular and Chaotic States

dc.creatorDe Pace, A.
dc.creatorMolinari, A.
dc.creatorWeidenmueller, H. A.
dc.date2006-11-03
dc.date.accessioned2026-07-07T10:42:55Z
dc.date.available2026-07-07T10:42:55Z
dc.descriptionModelling 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.
dc.description26 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/nucl-th/0611009
dc.identifierhttp://arxiv.org/abs/nucl-th/0611009
dc.identifierAnnalsPhys.322:2446-2468,2007
dc.identifierdoi:10.1016/j.aop.2006.11.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182116
dc.subjectNuclear Theory
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.titleInteraction of Regular and Chaotic States
dc.typetext

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