First second and fourth moments of the Green function of stochastic wave equation for dispersive and Gaussian media: Monte Carlo method and path integrals

摘要

Abstract: The generalization of the Monte Carlo method for calculation complex-valued Feynman path integrals have been performed. Calculation of the Feynman path integrals (in parabolic approximation) have been done. The new modified path integral representation of the Green function moments of stochastic wave equation has been developed. Calculations of the first, second, and fourth moments of the Green function of stochastic wave equation have been performed for random media in the presence and without large-scale inhomogeneities. !8