dorsal/arxiv
View SchemaInteraction of Regular and Chaotic States
| Authors | A. De Pace, A. Molinari, H. A. Weidenmueller |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0611009 |
| URL | https://arxiv.org/abs/nucl-th/0611009 |
| DOI | 10.1016/j.aop.2006.11.010 |
| Journal | AnnalsPhys.322:2446-2468,2007 |
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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"abstract": "Modelling the chaotic states in terms of the Gaussian Orthogonal Ensemble of\nrandom matrices (GOE), we investigate the interaction of the GOE with regular\nbound states. The eigenvalues of the latter may or may not be embedded in the\nGOE spectrum. We derive a generalized form of the Pastur equation for the\naverage Green\u0027s function. We use that equation to study the average and the\nvariance of the shift of the regular states, their spreading width, and the\ndeformation of the GOE spectrum non-perturbatively. We compare our results with\nvarious perturbative approaches.",
"arxiv_id": "nucl-th/0611009",
"authors": [
"A. De Pace",
"A. Molinari",
"H. A. Weidenmueller"
],
"categories": [
"nucl-th",
"cond-mat.dis-nn",
"cond-mat.mes-hall"
],
"doi": "10.1016/j.aop.2006.11.010",
"journal_ref": "AnnalsPhys.322:2446-2468,2007",
"title": "Interaction of Regular and Chaotic States",
"url": "https://arxiv.org/abs/nucl-th/0611009"
},
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