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

A Cameron-Storvick Theorem for Analytic Feynman Integrals on Product Abstract Wiener Space and... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

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

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Publisher
Springer-Verlag
Copyright
Copyright © 2013 by Springer Science+Business Media New York
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-012-9186-9
Publisher site
See Article on Publisher Site

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.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Apr 1, 2013

References

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