Abstract
A qualitative method for visualizing vibration–rotation eigenstates of polyatomic molecules is described and applied to a ‘‘coupled spin’’ model of Coriolis interaction of two nearly degenerate vibrations and molecular rotation. The method employs generalized coherent states of the Lie group SU(2)⊗SU(2) to define a quantum surface of section for coupled angular momentum problems. Stationary states of the vibration–rotation Hamiltonian are visualized on the rotational surface of section, and compared with the corresponding classical phase space structure. Striking classical-quantum correspondence is observed. The parallels between classical and quantum properties are investigated for several values of the total angular momentum, total number of vibrational quanta, and total energy. In addition, the evolution of classical and quantum mechanical phase space structure with variation of parameters in the Hamiltonian is studied.
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