Wigner function and Schrodinger equation in phase-space representation

摘要

We discuss a family of quasidistributions (s-ordered Wigner functions of Agarwal and Wolf [Phys. Rev. D 2, 2161 (1970); Phys. Rev. D 2, 2187 (1970); Phys. Rev. D 2, 2206 (1970)]) and its connection to the so-called phase space representation of the Schrodinger equation. It turns out that although Wigner functions satisfy the Schrodinger equation in phase space, they have a completely different interpretation.