The Feynman Integral and Feynman's Operational Calculus (Oxford Mathematical Monographs)
By Gerald W. Johnson, Michel L. Lapidus
* Publisher: Oxford University Press, USA
* Number Of Pages: 792
* Publication Date: 2002-03-28
* ISBN-10 / ASIN: 0198515723
* ISBN-13 / EAN: 9780198515722
Product Description:
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.
Summary: An Excellent Volume!
Rating: 5
This volume by Johnson and Lapidus is an excellent guide to the Feynman integral and Feynman's operational calculus. The authors bring together a great deal of the background material needed for the study of the integral and operational calculus so as to make the volume mostly self-contained.
The book contains several different approaches to the Feynman integral and discusses in some detail relationships between these approaches. The exposition is very clear and detailed and the proofs of results in the text are detailed and extremely well written. Also, the text contains many items that have only appeared in the research literature. Some of these results are quite new.
Also contained in this text is a thorough discussion of Feynman's operational calculus, again from more than one point of view. Many of the results contained here have only appeared previously in the research literature and again some are quite recent. This part of the book is also very well and clearly written.
There are also many remarks and examples dealing with the applicability of the formalism to physical situations.
This is a great read for anyone wanting to further there knowledge about these subjects.
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