Differential Geometric Methods in Mathematical Physics
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.
- VII, 329 p. 2 illus. 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
Mathematical physics.
Global differential geometry.
Mathematical Methods in Physics.
Mathematical Physics.
Differential Geometry.
QC5.53
530.15
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
Mathematical physics.
Global differential geometry.
Mathematical Methods in Physics.
Mathematical Physics.
Differential Geometry.
QC5.53
530.15