Ebook Functional Integration: Action and Symmetries (Cambridge Monographs on Mathematical Physics)By Pierre Cartier, Cecile DeWitt-Morette
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Functional Integration: Action and Symmetries (Cambridge Monographs on Mathematical Physics)By Pierre Cartier, Cecile DeWitt-Morette
Ebook Functional Integration: Action and Symmetries (Cambridge Monographs on Mathematical Physics)By Pierre Cartier, Cecile DeWitt-Morette
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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.
- Sales Rank: #3040116 in Books
- Published on: 2010-06-10
- Released on: 2010-06-10
- Original language: English
- Number of items: 1
- Dimensions: 9.61" h x .98" w x 6.69" l, 1.67 pounds
- Binding: Paperback
- 480 pages
Review
"... someone who is interested in the mathematical foundations or merely curious to see some of the deep insight of two true experts, Cartier and DeWitt-Morette's book is well worth reading."
Steven Carlip, University of California, Davis; Physics Today
"This book provides both mathematicians and physicists with a look at what is out there in the realm of path integral physics. Its extensive coverage and references to recent literature make it potentially very useful."
Dana S. Fine, Mathematical Reviews
About the Author
Emeritus Director of Research, Center National de la Recherche Scientifique, France. Member of Societe Francaise de Mathematiques and American Mathematical Society. Jane and Roland Blumberg Centennial Professor in Physics, Emerita, University of Texas at Austin. Member of American and European Physical Societies.
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