Differential Geometrical Methods in Mathematical Physics II Proceedings, University of Bonn, July 13–16, 1977 / [electronic resource] :
edited by Konrad Bleuler, Axel Reetz, Herbert Rainer Petry.
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1978.
- VI, 626 p. online resource.
- Lecture Notes in Mathematics, 676 0075-8434 ; .
- Lecture Notes in Mathematics, 676 .
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 manifolds: 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.
9783540357216
10.1007/BFb0063664 doi
Mathematics.
Mathematics.
Mathematics, general.
QA1-939
510
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 manifolds: 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.
9783540357216
10.1007/BFb0063664 doi
Mathematics.
Mathematics.
Mathematics, general.
QA1-939
510