Functional Integration: Action and Symmetries (Cambridge Monographs on Mathematical Physics) - Softcover

Cartier, Pierre

 
9780521143578: Functional Integration: Action and Symmetries (Cambridge Monographs on Mathematical Physics)

Inhaltsangabe

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 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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Über die Autorin bzw. den Autor

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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9780521866965: Functional Integration Hardback: Action and Symmetries (Cambridge Monographs on Mathematical Physics)

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ISBN 10:  0521866960 ISBN 13:  9780521866965
Verlag: Cambridge University Press, 2006
Hardcover