Abstract

We present a general change of process-cum-time substitution procedure for simplification of path integrals. Based on stochastic calculus, this procedure dictates that a particular time substitution should follow a given change of process. A special case of this procedure is the Kustaanheimo-Stiefel transformation, used by Duru and Kleinert to calculate the path integral for the hydrogen atom and applied by Blanchard and Sirugue to stochastic calculus. We also show that our method gives the same result as was obtained by Pak and Sokmen for a time lattice phase space path integral.

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