Dynamics of complex quantum systems with energy dissipation
| dc.creator | Duras, Maciej M. | |
| dc.date | 2003-01-30 | |
| dc.date | 2003-07-02 | |
| dc.date.accessioned | 2026-07-07T02:49:26Z | |
| dc.date.available | 2026-07-07T02:49:26Z | |
| dc.description | A complex quantum system with energy dissipation is considered. The quantum Hamiltonians $H$ belong the complex Ginibre ensemble. The complex-valued eigenenergies $Z_{i}$ are random variables. The second differences $Δ^{1} Z_{i}$ are also complex-valued random variables. The second differences have their real and imaginary parts and also radii (moduli) and main arguments (angles). For $N$=3 dimensional Ginibre ensemble the distributions of above random variables are provided whereas for generic $N$- dimensional Ginibre ensemble second difference distribution is analytically calculated. The law of homogenization of eigenergies is formulated. The analogy of Wigner and Dyson of Coulomb gas of electric charges is studied. | |
| dc.description | 4 pages; presented at poster session of the conference "Dynamics and Statistics of Complex Systems"; May 17th, 2000 to May 18th, 2000; Max Planck Institute for the Physics of Complex Systems; Dresden, Germany (2000) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0301600 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0301600 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20796 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Dynamics of complex quantum systems with energy dissipation | |
| dc.type | text |