This is a MATLAB implementation of the Leap-Frog Pseudospectral Method for the Wigner Equation in 1+1 Dimension all mathematical details and numerical results with this code are discussed in the paper:

Andrea Thomann, Alfio Borzì, Stability and Accuracy of a Pseudospectral Scheme for the Wigner Function Equation, Numerical Methods for Partial Differential Equations, 33 (2017), pp. 62-87. DOI 10.1002/num