Differential Geometrical Methods in Mathematical Physics II: Proceedings, University of Bonn, July 13 - 16, 1977 (Lecture Notes in Mathematics, 676)

ISBN 10: 3540089357 / ISBN 13: 9783540089353

Published by Springer, 1978

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Bibliographic Details

• Title: Differential Geometrical Methods in Mathematical Physics II: Proceedings, University of Bonn, July 13 - 16, 1977 (Lecture Notes in Mathematics, 676)
• Publisher: Springer
• Publication Date: 1978
• Language: English
• ISBN 10: 3540089357
• ISBN 13: 9783540089353
• Binding: Soft cover
• Condition: good

About this title

Synopsis

On the role of field theories in our physical conception of geometry.- Characteristic classes and solutions of gauge theories.- Classification of classical yang-mills fields.- Bundle representations and their applications.- to gauge theory.- The use of exterior forms in field theory.- Electromagnetic fields on Betti numbers, monopoles and strings, minimal coupling.- Gravity is the gauge theory of the parallel - transport modification of the poincare group.- On the lifting of structure groups.- On the non-uniqueness of spin structure in superconductivity.- Conformal invariance in field theory.- Geometric quantization and the WKB approximation.- Some properties of half-forms.- On some approach to geometric quantization.- Representations associated to minimal co-adjoint orrits.- On the Schrödinger equation given by geometric quantisation.- Application of geometric quantization in quantum mechanics.- Thermodynamique et Geometrie.- Some preliminary remarks on the formal variational calculus of gel'fand and dikii.- Reducibility of the symplectic structure of minimal interactions.- Ambiguities in canonical transformations of classical systems and the spectra of quantum observables.- Quantum field theory in curved space-times a general mathematical framework.- On functional integrals in curved spacetime.- Observables for quantum fields on curved background.- Quantization of fields on a curved background.- Supergravity.- Representations of classical lie superalgebras.