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:
delta - delta-function of Dirack.
A - const.
Gaussian potential (existence of probability is distributed on Gauss law):
C - normalizing constant.
delU - root-mean-square fluctuation of U.