Differential Geometrical Methods in Mathematical Physics

Beschreibung

Neuware -An outline of geometric quantisation (d'apr¿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¿.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 592 pp. Englisch.

Bestandsnummer des Verkäufers 9783540080688

Verkäufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel

Differential Geometrical Methods in Mathematical Physics

Verlag

Springer Berlin Heidelberg, Springer Berlin Heidelberg Feb 1977

Erscheinungsjahr

1977

Sprache

Englisch

ISBN-10

3540080686

ISBN-13

9783540080688

Einband

Taschenbuch

Zustand

Neu