dorsal/arxiv
View SchemaCoupled Q-oscillators as a model for vibrations of polyatomic molecules
| Authors | Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9701025 |
| URL | https://arxiv.org/abs/quant-ph/9701025 |
| DOI | 10.1063/1.473189 |
Abstract
The system of two $Q$-deformed oscillators coupled so that the total Hamiltonian has the su$_Q$(2) symmetry is proved to be equivalent, to lowest order approximation, to a system of two identical Morse oscillators coupled by the cross-anharmonicity usually used empirically in describing vibrational spectra of triatomic molecules. The symmetry also imposes a connection between the self-anharmonicity of the Morse oscillators and the cross-anharmonicity strength, which can be removed by replacing the $Q$-oscillators by deformed anharmonic oscillators. The generalization to $n$ oscillators is straightforward. The applicability of the formalism to highly symmetric polyatomic molecules is discussed.
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"abstract": "The system of two $Q$-deformed oscillators coupled so that the total\nHamiltonian has the su$_Q$(2) symmetry is proved to be equivalent, to lowest\norder approximation, to a system of two identical Morse oscillators coupled by\nthe cross-anharmonicity usually used empirically in describing vibrational\nspectra of triatomic molecules. The symmetry also imposes a connection between\nthe self-anharmonicity of the Morse oscillators and the cross-anharmonicity\nstrength, which can be removed by replacing the $Q$-oscillators by deformed\nanharmonic oscillators. The generalization to $n$ oscillators is\nstraightforward. The applicability of the formalism to highly symmetric\npolyatomic molecules is discussed.",
"arxiv_id": "quant-ph/9701025",
"authors": [
"Dennis Bonatsos",
"C. Daskaloyannis",
"P. Kolokotronis"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.473189",
"title": "Coupled Q-oscillators as a model for vibrations of polyatomic molecules",
"url": "https://arxiv.org/abs/quant-ph/9701025"
},
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"type": "Model",
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