Dear frands!
Prompt please references to works in which it was considered the Schrodinger equation with stochastic (random) Gaussian deltacorrelated potential which
timedependent and spacesdependent and with zero average (gaussian deltacorrelated 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.
Deltacorrelated potential which
timedependent and spacesdependent:
<U(x,t)U(x`,t`)>=A*delta(xx`) *delta(tt`)
delta  deltafunction 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  rootmeansquare fluctuation of U.
