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lesha
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Joined: December 3rd, 2002, 5:59 pm

Dynamical Theories of Brownian Motion

July 14th, 2003, 6:22 pm

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 whichtime-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)>=0Gaussian 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.