  New time dependent Wigner functions for the quantum harmonic oscillator have
been obtained in this work. The Moyal equation for the harmonic oscillator has
been presented as the wave equation of a 2D membrane in the phase plane. The
values of the Wigner function are equal to the deviation values of the points
on the surface of the membrane from the equilibrium state. The positive and
negative values of the Wigner function correspond to the direction of the
deviation from the equilibrium state. As an example, a time dependent Wigner
function corresponding to the standing wave of quasi-probability density
arising in the phase plane is considered.
