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

Abstract

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.

Authors:
;  [1]
  1. Dankook University, Department of Mathematics (Korea, Republic of)
Publication Date:
OSTI Identifier:
22156412
Resource Type:
Journal Article
Journal Name:
Applied Mathematics and Optimization
Additional Journal Information:
Journal Volume: 67; Journal Issue: 2; Other Information: Copyright (c) 2013 Springer Science+Business Media New York; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0095-4616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTIC FUNCTIONS; FEYNMAN PATH INTEGRAL; FUNCTIONALS; MATHEMATICAL SPACE; QUANTUM MECHANICS

Citation Formats

Choi, Jae Gil, E-mail: jgchoi@dankook.ac.kr, and Chang, Seung Jun, E-mail: sejchang@dankook.ac.kr. A Cameron-Storvick Theorem for Analytic Feynman Integrals on Product Abstract Wiener Space and Applications. United States: N. p., 2013. Web. doi:10.1007/S00245-012-9186-9.
Choi, Jae Gil, E-mail: jgchoi@dankook.ac.kr, & Chang, Seung Jun, E-mail: sejchang@dankook.ac.kr. A Cameron-Storvick Theorem for Analytic Feynman Integrals on Product Abstract Wiener Space and Applications. United States. https://doi.org/10.1007/S00245-012-9186-9
Choi, Jae Gil, E-mail: jgchoi@dankook.ac.kr, and Chang, Seung Jun, E-mail: sejchang@dankook.ac.kr. 2013. "A Cameron-Storvick Theorem for Analytic Feynman Integrals on Product Abstract Wiener Space and Applications". United States. https://doi.org/10.1007/S00245-012-9186-9.
@article{osti_22156412,
title = {A Cameron-Storvick Theorem for Analytic Feynman Integrals on Product Abstract Wiener Space and Applications},
author = {Choi, Jae Gil, E-mail: jgchoi@dankook.ac.kr and Chang, Seung Jun, E-mail: sejchang@dankook.ac.kr},
abstractNote = {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.},
doi = {10.1007/S00245-012-9186-9},
url = {https://www.osti.gov/biblio/22156412}, journal = {Applied Mathematics and Optimization},
issn = {0095-4616},
number = 2,
volume = 67,
place = {United States},
year = {Mon Apr 15 00:00:00 EDT 2013},
month = {Mon Apr 15 00:00:00 EDT 2013}
}