Journal of Physics A Mathematical and General

Semiclassical stochastic representation of the Feynman integral

Zbigniew Haba

Published Oct 7, 1994• 14 citations

Abstract

We show that for a wide class of analytic potentials the solution of the Schrodinger equation can be expressed by the Wiener integral. We express the Feynman kernel by the Brownian bridge. We prove an asymptotic semiclassical expansion of the solution of the Schrodinger equation as well as of the Feynman kernel. We show that for a small time the van Vleck formula holds true as the limit h(cross) to 0 of the Feynman kernel.

DOI: 10.1088/0305-4470/27/19/018

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