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Functional Integration

Functional Integration

Hardcover

Series: Cambridge Monographs on Mathematical Physics

Physics

ISBN10: 0521866960
ISBN13: 9780521866965
Publisher: Cambridge University Press
Published: Nov 30 2006
Pages: 476
Weight: 2.12
Height: 1.19 Width: 7.10 Depth: 9.96
Language: English
Functional integration successfully entered physics as path integrals in the 1942 PhD 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 fresh 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, user-friendly and multi-purpose tool that can be applied to a great variety of situations, for example: systems of indistinguishable particles; Aharonov-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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Physics