Differential Geometry, Group Representations, and Quantization
Published on 23. August 2014
Book
Paperback/Softback
XI, 280 pages
978-3-662-13870-0 (ISBN)
Description
Differential geometry and analytic group theory are among the most powerful tools in mathematical physics. This volume presents review articles on a wide variety of applications of these techniques in classical continuum physics, gauge theories, quantization procedures, and the foundations of quantum theory. The articles, written by leading scientists, address both researchers and grad- uate students in mathematics, physics, and philosophy of science.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1991
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XI, 280 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 17 mm
Weight
515 gr
ISBN-13
978-3-662-13870-0 (9783662138700)
DOI
10.1007/3-540-53941-7
Schweitzer Classification
Other editions
Additional editions
Jörg-Dieter Hennig | Wolfgang Lücke | Jiri Tolar
Differential Geometry, Group Representations, and Quantization
Book
04/1991
Springer
€85.59
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Content
Global differential geometric methods in elasticity and hydrodynamics.- GL(n, ?), tetrads and generalized space-time dynamics.- On boundary conditions for Yang-Mills fields in spatially bounded domains.- Parallel transport of phases.- An alternative approach to the quantization of linear relativistic field equations.- A lattice approximation of the dirac equation.- Some hidden aspects of hidden symmetry.- A baryon standard model for electroweak and strong interactions.- Is the physical vacuum really Lorentz-invariant?.- Quantization, coherent states and diffeomorphism groups.- Borel quantization and the origin of topological effects in quantum mechanics.- Symmetries of quantum group coupling coefficients.- Symmetry groups and spectrum generating groups.- Spectrum and character formulae of so(3, 2) unitary representations.- Quantum theory of single events.- Symmetry, entropy and complexity.- Steps in the philosophy of quantum theory.