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Differential Geometrical Methods in Mathematical Physics

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Cover of 'Differential Geometrical Methods in Mathematical Physics'

Table of Contents

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    Book Overview
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    Chapter 1 An outline of geometric quantisation (d'après Kostant)
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    Chapter 2 The metalinear geometry of non-real polarizations
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    Chapter 3 On cohomology groups appearing in geometric quantization
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    Chapter 4 Geometric quantization and Feynman path integrals for spin
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    Chapter 5 V. Fock, 40 years later
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    Chapter 6 Interpretation geometrique des etats quantiques
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    Chapter 7 Geometric structure of quantization
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    Chapter 8 The application of graded Lie algebras to invariance considerations in particle physics
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    Chapter 9 Some recent results on supersymmetry
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    Chapter 10 Graded manifolds, graded Lie theory, and prequantization
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    Chapter 11 Gauge fields as quantized connection forms
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    Chapter 12 Complex line bundles and the magnetic field of a monopole
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    Chapter 13 Conclusions from an extended gauge principle of Dirac's equation
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    Chapter 14 Reducibility of the symplectic structure of classical fields with gauge-symmetry
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    Chapter 15 New geometrical dynamics
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    Chapter 16 On the generalization of symplectic geometry to multiple integrals in the Calculus of Variations
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    Chapter 17 A symplectic formulation of particle dynamics
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    Chapter 18 A symplectic formulation of field dynamics
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    Chapter 19 Canonical transformations and their representations in quantum mechanics
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    Chapter 20 On a symplectic structure of general relativity
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    Chapter 21 On the symplectic formulation of the einstein system of evolution in presence of a self-gravitating scalar field
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    Chapter 22 Invertible foliations and type D-spaces
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    Chapter 23 Deformations of the embedded Einstein spaces
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    Chapter 24 The causal structure of singularities
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    Chapter 25 Towards quantum gravity
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    Chapter 26 Remarks about Dirac's idea of cosmological variation of so called ‘constants of nature’
Attention for Chapter 7: Geometric structure of quantization
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Chapter title
Geometric structure of quantization
Chapter number 7
Book title
Differential Geometrical Methods in Mathematical Physics
Published by
Springer, Berlin, Heidelberg, January 1977
DOI 10.1007/bfb0087785
Book ISBNs
978-3-54-008068-8, 978-3-54-037498-5
Authors

Jerzy Kijowski

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Professor 1 100%
Readers by discipline Count As %
Unknown 1 100%