Differential Geometrical Methods in Mathematical Physics: Proceedings of the Symposium Held at the University of Bonn, July 1–4, 1975 [1 ed.] 9783540080688, 3540080686 [DJVU]

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English-French Pages 582 [583] Year 1977

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Table of contents :
An outline of geometric quantisation (d'après Kostant)....Pages 1-10
The metalinear geometry of non-real polarizations....Pages 11-45
On cohomology groups appearing in geometric quantization....Pages 46-66
Geometric quantization and Feynman path integrals for spin....Pages 67-71
V. Fock, 40 years later....Pages 72-75
Interpretation geometrique des etats quantiques....Pages 76-96
Geometric structure of quantization....Pages 97-108
The application of graded Lie algebras to invariance considerations in particle physics....Pages 109-144
Some recent results on supersymmetry....Pages 145-176
Graded manifolds, graded Lie theory, and prequantization....Pages 177-306
Gauge fields as quantized connection forms....Pages 307-349
Complex line bundles and the magnetic field of a monopole....Pages 350-354
Conclusions from an extended gauge principle of Dirac's equation....Pages 355-364
Reducibility of the symplectic structure of classical fields with gauge-symmetry....Pages 365-376
New geometrical dynamics....Pages 377-394
On the generalization of symplectic geometry to multiple integrals in the Calculus of Variations....Pages 395-456
A symplectic formulation of particle dynamics....Pages 457-463
A symplectic formulation of field dynamics....Pages 464-468
Canonical transformations and their representations in quantum mechanics....Pages 469-481
On a symplectic structure of general relativity....Pages 482-497
On the symplectic formulation of the einstein system of evolution in presence of a self-gravitating scalar field....Pages 498-517
Invertible foliations and type D-spaces....Pages 518-525
Deformations of the embedded Einstein spaces....Pages 526-538
The causal structure of singularities....Pages 539-565
Towards quantum gravity....Pages 566-572
Remarks about Dirac's idea of cosmological variation of so called ‘constants of nature’....Pages 573-576

Differential Geometrical Methods in Mathematical Physics: Proceedings of the Symposium Held at the University of Bonn, July 1–4, 1975 [1 ed.] 9783540080688, 3540080686 [DJVU]

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