D. J. Simms (auth.), Konrad Bleuler, Axel Reetz (eds.)9783540080688, 3540080686
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
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