HOW TO CALCULATE THE WIGNER FUNCTION FROM PHASE-SPACE

We present a method for the direct computation of the Wigner function by solving a coupled system of linear partial differential equations i n phase space. Our modified spectral method relies on Chebyshev polyno mials. Since this approach allows us to include arbitrary high orders of partial derivatives, our procedure is applicable to arbitrary bindi ng potentials. We apply our scheme to Wigner functions of the harmonic oscillator, the Morse oscillator, and an asymmetric double-well poten tial.