Journal of Zhejiang University(Science Edition)
Wigner functions and Moyal equation in noncommutative space
Wang Jian-hua
Abstract
Firstly this paper makes a brief review of the Moyal equation and Wigner Functions in commutative space.Then,the Moyal equation which the Wigner Functions support is introduced in Non-communacative phase space.Finally,by redefining the raising and lowering operator,Wigner functions for the coherent state of two-dimensional Harmonic oscillators are obtained.