Differential Geometry, Group Representations, and Quantization

Jörg-Dieter Hennig, Wolfgang Lücke, Jiri Tolar (Herausgeber)

Buch | Softcover

XI, 280 Seiten

2014 | Softcover reprint of the original 1st ed. 1991
Springer Berlin (Verlag)
9783662138700 (ISBN)

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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.

Prof. Dr. Dr. h.c. Wolfgang Lücke lehrt am Institut für betriebswirtschaftliche Produktions- und Investitionsforschung der Universität Göttingen. Er ist zudem Dozent und Ehrenpräsident der Privaten Fachhochschule Göttingen sowie Studienleiter der Verwaltungs- und Wirtschaftsakademie Göttingen und der Berufsakademie Göttingen.

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.

Erscheint lt. Verlag	23.8.2014
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	XI, 280 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	514 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Differential Geometry • Gauge Theory • Mathematical Physics • Mathematische Methoden der Physik • Quantentheorie • Quantization • standard model
ISBN-13	9783662138700 / 9783662138700
Zustand	Neuware