Stochastic quantization for quantum mechanics and conditional probabilities

Abstract

The applicability of the stochastic quantization method to the quantum mechanics is examined. The imaginary character of the action is taken into account by the introduction of a pseudowhite noise defined by an imaginary Gaussian density. The intervening of end points in the paths contributing to the functional integral is treated by introducing Gaussian densities with vanishing variance. The same method allows the calculation of conditional probabilities for the Brownian motion.