Published March 1998
| Version v1
Journal article
Path Integrals, Fourier Transforms, and Feynman's Operational Calculus
Creators
- 1. Department of Mathematics, Soonchunhyang University, P.O. Box 97, Ashan, Chungnam 336-600 (Korea, Republic of)
- 2. Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323 (United States)
Description
The disentangling process is the key to Feynman's operational calculus for noncommuting operators. The main result of his heuristic calculations deals with disentangling an exponential factor. We use the Wiener and Feynman integrals to make this disentangling (or time-ordering) mathematically rigorous in the case where the analytic functions from earlier work are replaced by Fourier transforms of complex-valued measures
Additional details
Identifiers
Publishing Information
- Journal Title
- Applied Mathematics and Optimization
- Journal Volume
- 37
- Journal Issue
- 2
- Journal Page Range
- p. 189-203
- ISSN
- 0095-4616
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39081642
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTIC FUNCTIONS; COMPLEX MANIFOLDS; FEYNMAN PATH INTEGRAL; FOURIER TRANSFORMATION; MEASURE THEORY
- Descriptors DEC
- FUNCTIONS; INTEGRAL TRANSFORMATIONS; INTEGRALS; MATHEMATICAL MANIFOLDS; MATHEMATICS; PATH INTEGRALS; TRANSFORMATIONS
Optional Information
- Copyright
- Copyright (c) Inc. 1998 Springer-Verlag New York