, Volume 67, Issue 2, pp 243-260

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.

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2011-0014552).