On a Random Matrix Models of Quantum Relaxation
| dc.creator | Lebowitz, J. L. | |
| dc.creator | Lytova, A. | |
| dc.creator | Pastur, L. | |
| dc.date | 2007-11-15 | |
| dc.date.accessioned | 2026-07-07T08:43:04Z | |
| dc.date.available | 2026-07-07T08:43:04Z | |
| dc.description | Earlier two of us (J.L. and L.P.) considered a matrix model for a two-level system interacting with a $n\times n$ reservoir and assuming that the interaction is modelled by a random matrix. We presented there a formula for the reduced density matrix in the limit $n\to \infty $ as well as several its properties and asymptotic forms in various regimes. In this paper we give the proofs of the assertions, and present also a new fact about the model. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0711.2356 | |
| dc.identifier | http://arxiv.org/abs/0711.2356 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142188 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 15A52 ; 15A57 | |
| dc.title | On a Random Matrix Models of Quantum Relaxation | |
| dc.type | text |