Wigner Functions for harmonic oscillator in noncommutative phase space
arXiv:0908.1703
Abstract
We study the Wigner Function in non-commutative quantum mechanics. By solving the time independent Schrödinger equation both on a non-commutative (NC) space and a non-commutative phase space, we obtain the Wigner Function for the harmonic oscillator on NC space and NC phase space respectively.
10 pages, Latex file