MODEL OF N-COUPLED GENERALIZED DEFORMED OSCILLATORS FOR VIBRATIONS OFPOLYATOMIC-MOLECULES

A generalized deformed oscillator giving the same spectrum as the Mors e potential is constructed through the use of quantum-algebraic techni ques. The model of n coupled anharmonic oscillators of Iachello and Os s (Phys. Rev. Lett. 66, 2976 (1991)], suitable for the description of vibrational spectra of polyatomic molecules, is subsequently written i n terms of such generalized deformed oscillators. In addition to clari fying the relation of the model of Iachello and Oss to other models us ing coupled oscillators for the description of vibrational molecular s pectra, the present formalism allows for the construction of a large c lass of exactly soluble models with no extra computational effort. As an example, the way of including a coupling of the Darling-Dennison ty pe is shown.