Differential Geometrical Methods in Mathematical Physics: Proceedings of the Symposium Held at the University at the University of Bonn, July 1 - 4, 1975 (Lecture Notes in Mathematics, 570)

ISBN 10: 3540080686 / ISBN 13: 9783540080688

Editore: Springer, 1977

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Dati bibliografici

• Titolo: Differential Geometrical Methods in Mathematical Physics: Proceedings of the Symposium Held at the University at the University of Bonn, July 1 - 4, 1975 (Lecture Notes in Mathematics, 570)
• Editore: Springer
• Data di pubblicazione: 1977
• Lingua: Inglese
• ISBN 10: 3540080686
• ISBN 13: 9783540080688
• Rilegatura: Brossura
• Condizione: New

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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’.