, Volume 67, Issue 2, pp 243-260
Date: 09 Nov 2012

A Cameron-Storvick Theorem for Analytic Feynman Integrals on Product Abstract Wiener Space and Applications

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Abstract

In this paper we derive a Cameron-Storvick theorem for the analytic Feynman integral of functionals on product abstract Wiener space B 2. We then apply our result to obtain an evaluation formula for the analytic Feynman integral of unbounded functionals on B 2. We also present meaningful examples involving functionals which arise naturally in quantum mechanics.