Differential Geometrical Methods in Mathematical Physics
Differential Geometrical Methods in Mathematical Physics Proceedings of the Symposium Held at the University of Bonn, July 1–4, 1975 / [electronic resource] :
edited by Konrad Bleuler, Axel Reetz.
- X, 582 p. online resource.
- Lecture Notes in Mathematics, 570 0075-8434 ; .
- Lecture Notes in Mathematics, 570 .
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’.
9783540374985
10.1007/BFb0087778 doi
Global differential geometry.
Mathematical Physics.
Differential Geometry.
QA401-425 QC19.2-20.85
530.15
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’.
9783540374985
10.1007/BFb0087778 doi
Global differential geometry.
Mathematical Physics.
Differential Geometry.
QA401-425 QC19.2-20.85
530.15