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Author:   K. Bleuler ,  A. Reetz
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1977 ed.
Volume:   570
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   1.810kg
ISBN:  

9783540080688

ISBN 10:   3540080686
Pages:   582
Publication Date:   01 February 1977
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Language:   eng, fre

Table of Contents

An outline of geometric quantisation (d'apres 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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