A Nonlinear $sl(2)$ Dynamics and New Quasiclassical Solutions for a Class of Quantum Coupled Systems
| dc.creator | Karassiov, Valery P. | |
| dc.date | 1997-10-02 | |
| dc.date.accessioned | 2026-07-07T06:14:26Z | |
| dc.date.available | 2026-07-07T06:14:26Z | |
| dc.description | Hamiltonians of a wide-spread class of strongly coupled quantum system models are expressed as nonlinear functions of $sl(2)$ generators. It enables us to use the $sl(2)$ formalism, in particular, $sl(2)$ generalized coherent states (GCS) for solving both spectral and evolution tasks. In such a manner, using standard variational schemes with $sl(2)$ GCS as trial functions we find new analytical expressions for energy spectra and non-linear evolution equations for cluster dynamics variables in mean-field approximations which are beyond quasi-harmonic ones obtained earlier. General results are illustrated on certain concrete models of quantum optics and laser physics. | |
| dc.description | 19 pages, LATEX | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9710012 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9710012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93461 | |
| dc.subject | Quantum Physics | |
| dc.title | A Nonlinear $sl(2)$ Dynamics and New Quasiclassical Solutions for a Class of Quantum Coupled Systems | |
| dc.type | text |