dorsal/arxiv
View Schema$sl(2)$ variational schemes for solving one class of quantum nonlinear models
| Authors | V. P. Karassiov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9608016 |
| URL | https://arxiv.org/abs/quant-ph/9608016 |
Abstract
Hamiltonians of a wide-spread class of $G_{inv}$-invariant nonlinear quantum models, including multiboson and frequency conversion ones, are expressed as non-linear functions of $sl(2)$ generators. It enables us to use standard variational schemes, based on $sl(2)$ generalized coherent states as trial functions, for solving both spectral and evolution tasks. In such a manner a new analytical expression is found for energy spectra in a mean-field approximation which is beyond quasi-equidistant ones obtained earlier.
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"abstract": "Hamiltonians of a wide-spread class of $G_{inv}$-invariant nonlinear quantum\nmodels, including multiboson and frequency conversion ones, are expressed as\nnon-linear functions of $sl(2)$ generators. It enables us to use standard\nvariational schemes, based on $sl(2)$ generalized coherent states as trial\nfunctions, for solving both spectral and evolution tasks. In such a manner a\nnew analytical expression is found for energy spectra in a mean-field\napproximation which is beyond quasi-equidistant ones obtained earlier.",
"arxiv_id": "quant-ph/9608016",
"authors": [
"V. P. Karassiov"
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"categories": [
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"title": "$sl(2)$ variational schemes for solving one class of quantum nonlinear models",
"url": "https://arxiv.org/abs/quant-ph/9608016"
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