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  3. Functional Integration
  • Cited by 61
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      November 2006
      ISBN:
      9780511535062
      9780521866965
      9780521143578
      DOI:
      https://doi.org/10.1017/CBO9780511535062
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.973kg, 476 Pages
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      0.76kg, 480 Pages
      • Subjects:
      Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
      Series:
      Cambridge Monographs on Mathematical Physics
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    • Selected: Digital
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    Subjects:
    Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
    Series:
    Cambridge Monographs on Mathematical Physics
    Information

    Book description

    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.

    Reviews

    Review of the hardback:'…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.'

    Source: Zentralblatt MATH

    Review of the hardback:'…for 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.'

    Source: Physics Today

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