Differential Geometrical Methods in Mathematical Physics (2 volumes)

Bleuler, K. & H.R. Petry & A. Reetz (editors)

ISBN 10: 3540080686 / ISBN 13: 9783540080688

Editore: Berlin/Heidelberg/New York : Springer-Verlag, 1977

Riguardo questo articolo

Two uniform paperback volumes, illustrated with numerous equations and diagrams, 575 + 626 pages, 8vo.; Both volumes seriously foxed on cut and seriously foxed on title-page, name in pen on title page in both volumes.

Codice articolo 340904-ZA15

Dati bibliografici

• Titolo: Differential Geometrical Methods in Mathematical Physics (2 volumes)
• Editore: Berlin/Heidelberg/New York : Springer-Verlag
• Data di pubblicazione: 1977
• Lingua: Inglese
• ISBN 10: 3540080686
• ISBN 13: 9783540080688
• Rilegatura: Brossura
• Condizione: Good

Descrizione articolo

Contenuti

An outline of geometric quantisation (d'après 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’.