Differential Geometric Methods in Mathematical Physics Proceedings of the International Conference Held at the Technical University of Clausthal, Germany, July 1978 / [electronic resource] : edited by Heinz-Dietrich Doebner. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1981. - VII, 329 p. online resource. - Lecture Notes in Physics, 139 0075-8450 ; . - Lecture Notes in Physics, 139 .

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.

9783540385738

10.1007/3-540-10578-6 doi


Physics.
Mathematical physics.
Physics.
Mathematical Methods in Physics.
Numerical and Computational Methods.

QC5.53

530.15
The Institute of Mathematical Sciences, Chennai, India

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