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An Analytic Operator-Valued Generalized Feynman Integral on Function Space

An Analytic Operator-Valued Generalized Feynman Integral on Function Space In this paper, we use a generalized Brownian motion process to define an analytic operator-valued Feynman integral. We then establish the existence of the analytic operator-valued generalized Feynman integral. We next investigate a stability theorem for the analytic operator-valued generalized Feynman integral. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

An Analytic Operator-Valued Generalized Feynman Integral on Function Space

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References (17)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-017-0498-4
Publisher site
See Article on Publisher Site

Abstract

In this paper, we use a generalized Brownian motion process to define an analytic operator-valued Feynman integral. We then establish the existence of the analytic operator-valued generalized Feynman integral. We next investigate a stability theorem for the analytic operator-valued generalized Feynman integral.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: May 3, 2017

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