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arXiv · quant-ph/9701025

Coupled Q-oscillators as a model for vibrations of polyatomic molecules

Dennis Bonatsos·C. Daskaloyannis·P. Kolokotronis
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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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Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis. 1997-01-21. Coupled Q-oscillators as a model for vibrations of polyatomic molecules. https://doi.org/10.1063/1.473189

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