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Differential geometrical methods in mathematical physics : proceedings of the symposium held at the University of Bonn, July 1-4, 1975 / edited by K. Bleuler and A. Reetz.

Contributor(s): Bleuler, Konrad, 1912- | Reetz, A. (Axel), 1937- | Universität BonnMaterial type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 570.Publication details: Berlin ; New York : Springer-Verlag, 1977. Description: 1 online resource (v, 576 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540374985; 3540374981; 3540080686; 9783540080688Subject(s): Geometry, Differential -- Congresses | Mathematical physics -- Congresses | Géométrie différentielle -- Congrès | Physique mathématique -- Congrès | Geometry, Differential | Mathematical physics | Differentiaalmeetkunde | Mathematische fysicaGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Differential geometrical methods in mathematical physics.DDC classification: 516.36 LOC classification: QA3 | .L28 no. 570 | QC20.7.D52Other classification: 31.52 | 33.06 Online resources: Click here to access online
Contents:
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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Print version record.

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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