Differential Geometrical Methods in Mathematical Physics

Proceedings of the Symposium Held at the University at the University of Bonn, July 1 - 4, 1975

AvK. Bleuler,A. Reetz

Häftad, Engelska, 1977

Del 570 i serien Lecture Notes in Mathematics

501 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Produktinformation

Utgivningsdatum:1977-02-01
Mått:155 x 235 x 32 mm
Vikt:885 g
Format:Häftad
Språk:Engelska, Franska
Serie:Lecture Notes in Mathematics
Antal sidor:582
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540080688

Utforska kategorier

Innehållsförteckning

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’.

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Differential Geometrical Methods in Mathematical Physics

Proceedings of the Symposium Held at the University at the University of Bonn, July 1 - 4, 1975

AvK. Bleuler,A. Reetz

Häftad, Engelska, 1977

Del 570 i serien Lecture Notes in Mathematics

501 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Produktinformation

Utgivningsdatum:1977-02-01
Mått:155 x 235 x 32 mm
Vikt:885 g
Format:Häftad
Språk:Engelska, Franska
Serie:Lecture Notes in Mathematics
Antal sidor:582
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540080688

Utforska kategorier

Innehållsförteckning

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’.