Dear frands! Prompt please references to works in which it was considered the Schrodinger equation with stochastic (random) Gaussian delta-correlated potential which time-dependent and spaces-dependent and with zero average (gaussian delta-correlated noise). I am interesting what average wave function is equal. U - potential. <> - simbol of average. P(F) - density of probability of existence of size F. Delta-correlated potential which time-dependent and spaces-dependent: <U(x,t)U(x`,t`)>=A*delta(x-x`) *delta(t-t`) delta - delta-function of Dirack. A - const. Zero average: <U(x,t)>=0 Gaussian potential (existence of probability is distributed on Gauss law): P(U)=C*exp(U^2/delU^2) C - normalizing constant. delU - root-mean-square fluctuation of U.