QUANTUM GROUP THEORETIC APPROACH TO VIBRATING AND ROTATING DIATOMIC-MOLECULES

By quantum group theoretic methods, we give a complete treatment of vibrating and rotating diatomic molecules. We suggest the quantum Heisenberg group H(q(J)) (4) (where J is the rotational quantum number) as the dynamical symmetry group of a diatomic molecular system. The dependence of the deformation parameter of the quantum Heisenberg group on J characterizes the interaction between vibration and rotation. The Taylor expansion of the analytic formulae of the new approach reproduce the results of the anharmonic oscillator and nonrigid rotator model.