Wigner Function for Klein—Gordon Landau Problem

Abstract

First we calculate the Wigner phase-space distribution function for the Klein—Gordan Landau problem on a commmutative space. Then we study the modifications introduced by the coordinate-coordinate noncommuting and momentum-momentum noncommuting, namely, by using a generalized Bopp's shift method we construct the Wigner function for the Klein—Gordan Landau problem both on a noncommutative space (NCS) and a noncommutative phase space (NCPS).