Random Matrices and Chaos in Nuclear Spectra
| dc.creator | Papenbrock, T. | |
| dc.creator | Weidenmueller, H. A. | |
| dc.date | 2007-01-30 | |
| dc.date.accessioned | 2026-07-07T11:24:01Z | |
| dc.date.available | 2026-07-07T11:24:01Z | |
| dc.description | We speak of chaos in quantum systems if the statistical properties of the eigenvalue spectrum coincide with predictions of random-matrix theory. Chaos is a typical feature of atomic nuclei and other self-bound Fermi systems. How can the existence of chaos be reconciled with the known dynamical features of spherical nuclei? Such nuclei are described by the shell model (a mean-field theory) plus a residual interaction. We approach the question by using a statistical approach (the two-body random ensemble): The matrix elements of the residual interaction are taken to be random variables. We show that chaos is a generic feature of the ensemble and display some of its properties, emphasizing those which differ from standard random-matrix theory. In particular, we display the existence of correlations among spectra carrying different quantum numbers. These are subject to experimental verification. | |
| dc.description | 17 pages, 20 figures, colloquium article, submitted to Reviews of Modern Physics | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0701092 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0701092 | |
| dc.identifier | Rev.Mod.Phys.79:997-1013,2007 | |
| dc.identifier | doi:10.1103/RevModPhys.79.997 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/195088 | |
| dc.subject | Nuclear Theory | |
| dc.title | Random Matrices and Chaos in Nuclear Spectra | |
| dc.type | text |