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