  We examine the effect of the decoherence-induced reduction of correlation
length on a one-dimensional scattering problem by solving numerically the
evolution equation for the Wigner function with decoherence proposed in [L.
Barletti, G. Frosali and E. Giovannini, Journal of Computational and
Theoretical Transport 47, 209 (2018)]. The numerical solution is achieved by
the Splitting-Scheme algorithm. Three cases are examined, corresponding to a
reflection-dominated regime, a transmission-dominated regime and an
intermediate one. The dynamic evolution of the Wigner function is followed
until the separation process of the reflected and of the transmitted packets is
complete and it is observed for three different values of the correlation
length. The outcomes show a broadening and flattening of the Wigner function
which becomes progressively more pronounced as the correlation length is
decreased. This results in a reduced reflection at low energies and in a
reduced transmission at high energies.
