As examples of quantum-``classical'' coupling systems, multicomponent systems are studied by semiclassical evaluations of the Feynman kernels in the coherent-state representation. From the observation of the phase space caustics, due to the presence of the internal degree of freedom (IDF), two phenomena are explained in terms of the semiclassical theory: (1) The quantum oscillations of the IDF induce quantum interference patterns in the Hushimi representation and (2) chaotic dynamics destroys the coherence of the quantum oscillations.
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Atushi Tanaka (1998) studied this question.
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