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

Authors

• Jeong Ryeol Choi ¹
• Ji Nny Song ²
• Seong Ju Hong ²

1. Department of Radiologic Technology, Daegu Health College
2. Department of Safety Engineering, Chungbuk National University

Abstract

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.

Keywords

• 42.50.St
• Coherent state
• Dependent Hamiltonian
• Squeezed state
• Time
• Wigner distribution function
• W
• 03.65
• 03.65.Ca