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Differential geometry, group representations, and quantization / J.D. Hennig, W. Lücke, J. Tolar, eds.

Contributor(s): Hennig, J. D. (Jörg Dieter) | Lücke, W. (Wolfgang), 1943- | Tolar, J. (Jiří), 1939-Material type: TextTextSeries: Lecture notes in physics ; 379.Publication details: Berlin ; New York : Springer-Verlag, ©1991. Description: 1 online resource (xi, 280 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540464730; 3540464735Subject(s): Geometry, Differential | Representations of groups | Quantum theory | Mathematical physics | Geometry, Differential | Mathematical physics | Quantum theory | Representations of groups | Differentiaalmeetkunde | Kwantumveldentheorie | Groepentheorie | Géométrie différentielle | Représentations de groupes | Théorie quantique | Physique mathématique | Quantentheorie | Differentialgeometrie | Mathematische Physik | Gruppentheorie | Darstellungstheorie | Quantisierung (Physik) | Aufsatzsammlung | QuantenphysikGenre/Form: Electronic books. Additional physical formats: Print version:: Differential geometry, group representations, and quantization.DDC classification: 530.1/5636 LOC classification: QC20.7.D52 | D56 1991Other classification: 33.51 Online resources: Click here to access online
Contents:
Global differential geometric methods in elasticity and hydrodynamics / E. Binz -- GL(n, IR) tetrads and generalized space-time dynamics / J.J. Slawianowski -- On boundary conditions for Yang-Mills fields in spatially bounded domains / J. Śniatycki -- Parallel transport of phases / A. Uhlmann -- An alternative approach to the quantization of linear relativistic field equations / G.C. Hegerfeldt -- A lattice approximation of the Dirac equation / J. Kijowski and A. Thielmann -- Some hidden aspects of hidden symmetry / L. O'Raifeartaigh -- A Baryonstandard model for electroweak and strong interactions / R. Ra̧czka -- Is the physical vacuum really Lorentz-invariant? / I.E. Segal -- Quantization, coherent states and diffeomorphism groups / S.T. Ali and G.A. Goldin -- Borel quantization and the origin of topological effects in quantum mechanics / J. Tolar.
Symmetries of quantum group coupling coefficients / L.C. Biedenharn and M.A. Lohe -- Symmetry groups and spectrum generating groups / A. Bohm -- Spectrum and character formulae of so(3,2) unitary representations / V.K. Dobrev and E. Sezgin -- Quantum theory of single events / A.O. Barut -- Symmetry, entropy and complexity / Y. Ne'eman -- Steps in the philosophy of quantum theory / Th. Görnitz and C.F. Weizsäcker.
Action note: digitized 2010 committed to preserveSummary: 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.
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Includes bibliographical references.

Global differential geometric methods in elasticity and hydrodynamics / E. Binz -- GL(n, IR) tetrads and generalized space-time dynamics / J.J. Slawianowski -- On boundary conditions for Yang-Mills fields in spatially bounded domains / J. Śniatycki -- Parallel transport of phases / A. Uhlmann -- An alternative approach to the quantization of linear relativistic field equations / G.C. Hegerfeldt -- A lattice approximation of the Dirac equation / J. Kijowski and A. Thielmann -- Some hidden aspects of hidden symmetry / L. O'Raifeartaigh -- A Baryonstandard model for electroweak and strong interactions / R. Ra̧czka -- Is the physical vacuum really Lorentz-invariant? / I.E. Segal -- Quantization, coherent states and diffeomorphism groups / S.T. Ali and G.A. Goldin -- Borel quantization and the origin of topological effects in quantum mechanics / J. Tolar.

880-01 Symmetries of quantum group coupling coefficients / L.C. Biedenharn and M.A. Lohe -- Symmetry groups and spectrum generating groups / A. Bohm -- Spectrum and character formulae of so(3,2) unitary representations / V.K. Dobrev and E. Sezgin -- Quantum theory of single events / A.O. Barut -- Symmetry, entropy and complexity / Y. Ne'eman -- Steps in the philosophy of quantum theory / Th. Görnitz and C.F. Weizsäcker.

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.

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