Progress of Theoretical Physics

An Operator Formalism to the Path Integral Method

Taku Goto, S. Naka

Published Oct 1, 1976• 3 citations

Abstract

An operator formalism to the path integral method is developed. In this formalism the operator characterizing the trajectories of the particle is introduced and the usual path integral is expressed in terms of expectation value of a functional of that operator. We also investigate the Wiener-Hermite expansion on the basis of our operator formalism. Feynman's path integral is justified as a sort of analytic continuation of the path integral in the Wiener process.

DOI: 10.1143/ptp.56.1318

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