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Wigner distribution function of superposed quantum states for a time-dependent oscillator-like Hamiltonian system



AbstractA phase space distribution function of quantum mechanics, so-called the Wigner distribution function (WDF), for superposed states of the general time-dependent oscillator-like Hamiltonian system is investigated. Superposition of not only two different coherent states but also two different squeezed states are considered respectively. Analytical representation of WDF for the superposition states is derived rigorously on the basis of fundamental relations. We confirmed the existence of nonclassical properties in the system from the appearance of interference term in the WDF.