Abstract
The Monte Carlo method (the Metropolis algorithm), which is employed extensively in lattice gauge theories and quantum mechanics, was applicable only to the euclidean version of the Feynman path integrals, i.e. it was valid for evaluating the integrals of real functions. In the present work the Monte Carlo method is extended to the evaluation of the integrals of complex-valued functions. The Feynman path integrals representing the time-dependent Green function of the one-dimensional non-stationary Schrodinger equation have been calculated for the harmonic oscillator and the particle motion in barrier- and well-type potential fields. The numerical results are in reasonable agreement with the analytical estimates, in spite of the presence of singularities in the Green functions.
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