Differential Geometric Methods in Mathematical Physics [electronic resource] : Proceedings of the International Conference Held at the Technical University of Clausthal, Germany, July 1978 / edited by Heinz-Dietrich Doebner.

Contributor(s): Doebner, Heinz-Dietrich [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Physics ; 139Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1981Description: VII, 329 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540385738Subject(s): Physics | Mathematical physics | Physics | Mathematical Methods in Physics | Numerical and Computational MethodsAdditional physical formats: Printed edition:: No titleDDC classification: 530.15 LOC classification: QC5.53Online resources: Click here to access online
Contents:
On a geometric quantization scheme generalizing those of Kostant-Souriau and Czyz -- Further applications of geometric quantization -- General vector field representations of local Heisenberg systems -- Aspects of relativistic quantum mechanics on phase space -- On the confinement of magnetic poles -- SU(3) and SU(4) as spectrum-generating groups -- The phase space for the Yang-Mills equations -- Instantons in nonlinear ?-models, gauge theories and general relativity -- Gauge-theoretical foundation of color geometrodynamics -- Non-associative algebras and exceptional gauge groups -- Atiyah-Singer index theorem and quantum field theory -- Topological concepts in phase transition theory -- Life without T2 -- Affine model of internal degrees of freedom in a non-euclidean space -- Jet bundles and weyl geometry -- Line fields and Lorentz manifolds -- The manifold of embeddings of a closed manifold -- The manifold of embeddings of a non-compact manifold.
In: Springer eBooks
Item type: E-BOOKS
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On a geometric quantization scheme generalizing those of Kostant-Souriau and Czyz -- Further applications of geometric quantization -- General vector field representations of local Heisenberg systems -- Aspects of relativistic quantum mechanics on phase space -- On the confinement of magnetic poles -- SU(3) and SU(4) as spectrum-generating groups -- The phase space for the Yang-Mills equations -- Instantons in nonlinear ?-models, gauge theories and general relativity -- Gauge-theoretical foundation of color geometrodynamics -- Non-associative algebras and exceptional gauge groups -- Atiyah-Singer index theorem and quantum field theory -- Topological concepts in phase transition theory -- Life without T2 -- Affine model of internal degrees of freedom in a non-euclidean space -- Jet bundles and weyl geometry -- Line fields and Lorentz manifolds -- The manifold of embeddings of a closed manifold -- The manifold of embeddings of a non-compact manifold.

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