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

Journal Article · Mon Apr 15 00:00:00 EDT 2013 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-012-9186-9· OSTI ID:22156412

Choi, Jae Gil, E-mail: [e-mail]; Chang, Seung Jun, E-mail: [e-mail] ^[1]

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1. Dankook University, Department of Mathematics (Korea, Republic of)

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

• OSTI ID: 22156412
• Journal Information: Applied Mathematics and Optimization, Vol. 67, Issue 2; Other Information: Copyright (c) 2013 Springer Science+Business Media New York; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTIC FUNCTIONS
FEYNMAN PATH INTEGRAL
FUNCTIONALS
MATHEMATICAL SPACE
QUANTUM MECHANICS