dorsal/arxiv
View SchemaA Nonlinear $sl(2)$ Dynamics and New Quasiclassical Solutions for a Class of Quantum Coupled Systems
| Authors | Valery P. Karassiov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9710012 |
| URL | https://arxiv.org/abs/quant-ph/9710012 |
Abstract
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.
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"abstract": "Hamiltonians of a wide-spread class of strongly coupled quantum system models\nare expressed as nonlinear functions of $sl(2)$ generators. It enables us to\nuse the $sl(2)$ formalism, in particular, $sl(2)$ generalized coherent states\n(GCS) for solving both spectral and evolution tasks. In such a manner, using\nstandard variational schemes with $sl(2)$ GCS as trial functions we find new\nanalytical expressions for energy spectra and non-linear evolution equations\nfor cluster dynamics variables in mean-field approximations which are beyond\nquasi-harmonic ones obtained earlier. General results are illustrated on\ncertain concrete models of quantum optics and laser physics.",
"arxiv_id": "quant-ph/9710012",
"authors": [
"Valery P. Karassiov"
],
"categories": [
"quant-ph"
],
"title": "A Nonlinear $sl(2)$ Dynamics and New Quasiclassical Solutions for a Class of Quantum Coupled Systems",
"url": "https://arxiv.org/abs/quant-ph/9710012"
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