Journal of Theoretical and Applied Physics (JTAP) Wigner distribution function of superposed quantum states for a time-dependent oscillator-like Hamiltonian system Volume 6 (2012) Issue 1, November and December 2012 2023 11 17 Wigner distribution function of superposed quantum states for a time-dependent oscillator-like Hamiltonian system 10.1186/2251-7235-6-26 EN Jeong Ryeol Choi Department of Radiologic Technology, Daegu Health College Ji Nny Song Department of Safety Engineering, Chungbuk National University Seong Ju Hong Department of Safety Engineering, Chungbuk National University Journal Article 2023 11 17 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.