Wigner approach and generalization molecular dynamics method in quantum mechanics.

The new method for solving Wigner-Liouville's type equations and studying dynamics of quantum particles in composite materials and disordered system of scatterers have been developed. The approach combines both molecular dynamics and Monte Carlo methods. Numerical results have been obtained for the frequency dependecies of the tensors of electron conductivity and permittivity according to quantum Kubo formulas and for the flux- position time correlation function characterizing the energy level structure and absorption spectra of electron in potential well. Possibility of applying the developed approach to the theory of classical wave propagation in random media have been also considered.