Differential Geometrical Methods in Mathematical Physics II -

Differential Geometrical Methods in Mathematical Physics II

Proceedings, University of Bonn, July 13 - 16, 1977

K. Bleuler, H. R. Petry, A. Reetz (Herausgeber)

Buch | Softcover
VI, 626 Seiten
1978 | 1978
Springer Berlin (Verlag)
978-3-540-08935-3 (ISBN)
48,10 inkl. MwSt

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.

Erscheint lt. Verlag 1.9.1978
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo VI, 626 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 880 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Geometrie / Topologie
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Algebra • Calculus • Equation • Function • Gauge Theory • Geometry • manifold • Mathematical Physics
ISBN-10 3-540-08935-7 / 3540089357
ISBN-13 978-3-540-08935-3 / 9783540089353
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