Functional integration: action and symmetries
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-co...
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Format: | E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge
Cambridge University Press
2006
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Schriftenreihe: | Cambridge monographs on mathematical physics
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Links: | https://doi.org/10.1017/CBO9780511535062 |
Zusammenfassung: | 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. |
Umfang: | 1 Online-Ressource (xx, 456 Seiten) |
ISBN: | 9780511535062 |
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spelling | Cartier, Pierre Functional integration action and symmetries Pierre Cartier and Cé́́cile DeWitt-Morette Cambridge Cambridge University Press 2006 1 Online-Ressource (xx, 456 Seiten) txt c cr Cambridge monographs on mathematical physics 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. DeWitt-Morette, Cécile Erscheint auch als Druck-Ausgabe 9780521143578 Erscheint auch als Druck-Ausgabe 9780521866965 |
spellingShingle | Cartier, Pierre Functional integration action and symmetries |
title | Functional integration action and symmetries |
title_auth | Functional integration action and symmetries |
title_exact_search | Functional integration action and symmetries |
title_full | Functional integration action and symmetries Pierre Cartier and Cé́́cile DeWitt-Morette |
title_fullStr | Functional integration action and symmetries Pierre Cartier and Cé́́cile DeWitt-Morette |
title_full_unstemmed | Functional integration action and symmetries Pierre Cartier and Cé́́cile DeWitt-Morette |
title_short | Functional integration |
title_sort | functional integration action and symmetries |
title_sub | action and symmetries |
work_keys_str_mv | AT cartierpierre functionalintegrationactionandsymmetries AT dewittmorettececile functionalintegrationactionandsymmetries |