The Feynman Integral and Feynman's Operational Calculus

by Gerald W. Johnson, Michel L Lapidus

The aim of this book is to make accessible to mathematicians, physicists and other scientists interested in quantum theory, the mathematically beautiful but difficult subjects of the Feynman integral and Feynman's operational calculus. Some advantages of the four approaches to the Feynman integral which are given detailed treatment in this book are the following: the existence of the Feynman integral is established for very general potentials in all four cases; under more restrictive but still broad conditions, three of these Feynman integrals agree with one another and with the unitary group from the usual approach to quantum dynamics; these same three Feynman integrals possess pleasant stability properties. Much of the material covered here was previously only in the research literature, and the book also contains some new results. The background material in mathematics and physics that motivates the study of the Feynman integral and Feynman's operational calculus is discussed and detailed proofs are provided for the central results.

790 pages, Unknown Binding

First published May 11, 2000

About the author

Gerald. W. Johnson is a professor emeritus of the Department of Mathematics and Statistics at the University of Nebraska-Lincoln.

Librarian note: For the historian Gerald White Johnson, see this record.