Wigner function and Schroedinger equation in phase space representation
  We discuss a family of quasi-distributions (s-ordered Wigner functions of Agarwal and Wolf) and its connection to the so called phase space representation of the Schroedinger equation. It turns out that although Wigner functions satisfy the Schroedinger equation in phase space they have completely different interpretation. 
Dariusz Chruscinski and Krzysztof Mlodawski