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Consider a path-integral E x exp{∫ t0 V(X(s))ds}f (X(t)) which is the solution to a diffusion version of the generalized Schrodinger's equation u/ t = Hu, u(0, x) = f(x). Here H =A + V, where A is an infinitesimal generator of a strongly continuous Markov semigroup corresponding to the diffusion process {X(s), 0 s t, X (0) =x }. To see a connection to quantum mechanics,...
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