Convergency of the Monte Carlo algorithm for the solution of the Wigner quantum-transport equation (Q1921111)

This paper discusses the convergence of the Monte Carlo algorithm for the solution of the Wigner quantum-transport equation. Essentially there is a convergence problem at the boundaries \(+\infty\) and \(-\infty\) for the momentum \(p\). This is discussed in detail and it is shown that the approximation tends to the Wigner function uniformly as the domain of the simulation domain for \(p\) tends to \(-\infty < p < \infty\).