dorsal/arxiv
View SchemaDevelopment of an approximate method for quantum optical models and their pseudo-Hermicity
| Authors | Ramazan Koc |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510219 |
| URL | https://arxiv.org/abs/quant-ph/0510219 |
| DOI | 10.1007/s10582-005-0118-7 |
| Journal | Czechoslovak Journal of Physics, 55 (2005) 9 1135-1140. |
Abstract
An approximate method is suggested to obtain analytical expressions for the eigenvalues and eigenfunctions of the some quantum optical models. The method is based on the Lie-type transformation of the Hamiltonians. In a particular case it is demonstrated that $E\times \epsilon $ Jahn-Teller Hamiltonian can easily be solved within the framework of the suggested approximation. The method presented here is conceptually simple and can easily be extended to the other quantum optical models. We also show that for a purely imaginary coupling the $E\times \epsilon $ Hamiltonian becomes non-Hermitian but $P\sigma _{0}$-symmetric. Possible generalization of this approach is outlined.
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"abstract": "An approximate method is suggested to obtain analytical expressions for the\neigenvalues and eigenfunctions of the some quantum optical models. The method\nis based on the Lie-type transformation of the Hamiltonians. In a particular\ncase it is demonstrated that $E\\times \\epsilon $ Jahn-Teller Hamiltonian can\neasily be solved within the framework of the suggested approximation. The\nmethod presented here is conceptually simple and can easily be extended to the\nother quantum optical models. We also show that for a purely imaginary coupling\nthe $E\\times \\epsilon $ Hamiltonian becomes non-Hermitian but $P\\sigma\n_{0}$-symmetric. Possible generalization of this approach is outlined.",
"arxiv_id": "quant-ph/0510219",
"authors": [
"Ramazan Koc"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10582-005-0118-7",
"journal_ref": "Czechoslovak Journal of Physics, 55 (2005) 9 1135-1140.",
"title": "Development of an approximate method for quantum optical models and their pseudo-Hermicity",
"url": "https://arxiv.org/abs/quant-ph/0510219"
},
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