Differential Geometric Methods in Mathematical Physics

Proceedings of the International Conference Held at the Technical University of Clausthal, Germany, July 1978
Herausgegeben von Doebner, H. D.

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Physics .139
• Verlag: Springer / Springer, Berlin
• 1981
• Seitenzahl: 344
• Erscheinungstermin: 1. April 1981
• Englisch
• Abmessung: 244mm x 170mm x 19mm
• Gewicht: 571g
• ISBN-13: 9783540105787
• ISBN-10: 3540105786
• Artikelnr.: 40756610

Inhaltsangabe

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.