Differential geometry, group representations, and quantization

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 quantu...

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Hlavní autor: Hennig, Jörg Dieter
Další autoři: Lücke, Wolfgang, 1943-...., physicien (Šéfredaktor, odpovědný redaktor), Tolar, Jiří, 1939- (Šéfredaktor, odpovědný redaktor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Edice:Lecture notes in physics 379
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Edition sous un autre format:• Differential geometry, group representations, and quantization, J.D. Hennig, W. Lücke, J. Tolar (eds.), Berlin, Springer-Verlag, 1991, 1 vol. (XI-280 p.), Lecture notes in physics, 3-540-53941-7
• Differential Geometry, Group Representations, and Quantization, Texte imprimé, 9783662138694
• Differential Geometry, Group Representations, and Quantization, Texte imprimé, 9783662138700
Obsah:
  • 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.