COUPLED Q-OSCILLATORS AS A MODEL FOR VIBRATIONS OF POLYATOMIC-MOLECULES

The system of two Q-deformed oscillators coupled so that the total Ham iltonian has the su(Q)(2) symmetry is proved to be equivalent, to lowe st order approximation, to a system of two identical Morse oscillators coupled by the cross-anharmonicity usually used empirically in descri bing vibrational spectra of triatomic molecules. The symmetry also imp oses a connection between the self-anharmonicity of the Morse oscillat ors and the cross-anharmonicity strength, which can be removed by repl acing the Q-oscillators by deformed anharmonic oscillators. The genera lization to n oscillators is straightforward. The applicability of the formalism to highly symmetric polyatomic molecules is discussed. (C) 1997 American Institute of Physics.