C. Jacoboni et al., Wigner-function formulation for quantum transport in semiconductors: theory and Monte Carlo approach, MATH COMP S, 55(1-3), 2001, pp. 67-78
The Wigner-function approach to the quantum theory of electron transport in
mesoscopic systems is reviewed. Delta-like or "particle" contributions to
the Wigner function evolve in time along "paths" formed by ballistic free f
lights interrupted by scattering processes as semiclassical particles. A Mo
nte Carlo algorithm based on such Wigner paths will be presented. It extend
s to quantum transport the Monte Carlo procedure that proved to be very suc
cessful for the study of semiclassical transport. (C) 2001 IMACS. Published
by Elsevier Science B.V. All rights reserved.