Journal of Mathematical Physics

On the convergence of the Feynman path integral for a certain class of potentials

Vassilis G. Papanicolaou

Published Feb 1, 1990• 2 citations

Abstract

A direct proof is given of the convergence of the discretized Feynman path integral to the fundamental solution of the (time-dependent) Schrödinger equation, for potentials which are bounded, integrable and continuous on the real line. No further smoothness assumptions are required.

DOI: 10.1063/1.528920

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