Differential geometrical methods in mathematical physics : proceedings of the symposium held at the University of Bonn, July 1-4, 1975
Author(s)
Bibliographic Information
Differential geometrical methods in mathematical physics : proceedings of the symposium held at the University of Bonn, July 1-4, 1975
(Lecture notes in mathematics, 570)
Springer-Verlag, 1977
- : Berlin
- : New York
Available at 76 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographies
Description and Table of Contents
Table of Contents
An outline of geometric quantisation (d'apres Kostant).- The metalinear geometry of non-real polarizations.- On cohomology groups appearing in geometric quantization.- Geometric quantization and Feynman path integrals for spin.- V. Fock, 40 years later.- Interpretation geometrique des etats quantiques.- Geometric structure of quantization.- The application of graded Lie algebras to invariance considerations in particle physics.- Some recent results on supersymmetry.- Graded manifolds, graded Lie theory, and prequantization.- Gauge fields as quantized connection forms.- Complex line bundles and the magnetic field of a monopole.- Conclusions from an extended gauge principle of Dirac's equation.- Reducibility of the symplectic structure of classical fields with gauge-symmetry.- New geometrical dynamics.- On the generalization of symplectic geometry to multiple integrals in the Calculus of Variations.- A symplectic formulation of particle dynamics.- A symplectic formulation of field dynamics.- Canonical transformations and their representations in quantum mechanics.- On a symplectic structure of general relativity.- On the symplectic formulation of the einstein system of evolution in presence of a self-gravitating scalar field.- Invertible foliations and type D-spaces.- Deformations of the embedded Einstein spaces.- The causal structure of singularities.- Towards quantum gravity.- Remarks about Dirac's idea of cosmological variation of so called 'constants of nature'.
by "Nielsen BookData"