Features
- Cover Type: Hard Cover with 476 pages
- Published by: Cambridge University Press
- Edition: 1st Edition January 15, 2007
- Written in: English
- ISBN 10 Number: 0521866960
- ISBN 13 Number: 978-0521866965
-
Book Dimensions:
9.8 x 7 x 1.3 inches
- Weighs: 2.1 pounds
Product Review
'will be helpful for those mathematicians who are interested in physical applications of the general theory of measure (theory of integrals) and for the physicists who are interested in mathematically rigorous formulations of complicated problems in quantum physics.' Zentralblatt MATH
Product Description
Functional integration successfully entered physics as path integrals in the 1942 Ph.D. dissertation of Richard P. Feynman, but it made no sense at all as a mathematical definition. Cartier and DeWitt-Morette have created, in this book, a new approach to functional integration. The book is self-contained: mathematical ideas are introduced, developed generalised and applied. In the authors' hands, functional integration is shown to be a robust, easy to use and multi-purpose tool that can be applied to a great variety of situations, for example: systems of indistinguishable particles; Aharanov-Bohm systems; supersymmetry; non-gaussian integrals. Problems in quantum field theory are also considered. In the final part the authors outline topics that can be profitably pursued using material already presented.
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