Coupled Q oscillators as a model for vibrations of polyatomic molecules
Jan, 1997
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Abstract:
The system of two -deformed oscillators coupled so that the total Hamiltonian has the su(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 -oscillators by deformed anharmonic oscillators. The generalization to oscillators is straightforward. The applicability of the formalism to highly symmetric polyatomic molecules is discussed.Note:
- 13 pages, LaTeX
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