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Differential geometrical methods in mathematical physics II : proceedings, University of Bonn, July 13-16, 1977 / edited by K. Bleuler, H.R. Petry, and A. Reetz.

Contributor(s): Bleuler, Konrad, 1912- | Petry, Herbert Rainer | Reetz, A. (Axel), 1937-Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 676.Publication details: Berlin ; New York : Springer-Verlag, 1978. Description: 1 online resource (vi, 626 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540357216; 3540357211Subject(s): Geometry, Differential -- Congresses | Mathematical physics -- Congresses | Géométrie différentielle -- Congrès | Physique mathématique -- Congrès | Geometry, Differential | Mathematical physics | Differentiaalmeetkunde | Mathematische fysicaGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Differential geometrical methods in mathematical physics II.DDC classification: 516.36 LOC classification: QA3 | .L28 no. 676 | QC20.7.D52Other classification: 31.52 | 33.06 | 00Bxx | 53-06 | 55-06 | 57-06 Online resources: Click here to access online
Contents:
On the role of field theories in our physical conception of geometry -- Characteristic classes and solutions of gauge theories -- Classification of classical yang-mills fields -- Bundle representations and their applications -- to gauge theory -- The use of exterior forms in field theory -- Electromagnetic fields on manifolds: Betti numbers, monopoles and strings, minimal coupling -- Gravity is the gauge theory of the parallel -- transport modification of the poincare group -- On the lifting of structure groups -- On the non-uniqueness of spin structure in superconductivity -- Conformal invariance in field theory -- Geometric quantization and the WKB approximation -- Some properties of half-forms -- On some approach to geometric quantization -- Representations associated to minimal co-adjoint orrits -- On the Schrödinger equation given by geometric quantisation -- Application of geometric quantization in quantum mechanics -- Thermodynamique et Geometrie -- Some preliminary remarks on the formal variational calculus of gel'fand and dikii -- Reducibility of the symplectic structure of minimal interactions -- Ambiguities in canonical transformations of classical systems and the spectra of quantum observables -- Quantum field theory in curved space-times a general mathematical framework -- On functional integrals in curved spacetime -- Observables for quantum fields on curved background -- Quantization of fields on a curved background -- Supergravity -- Representations of classical lie superalgebras.
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Includes bibliographical references and index.

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Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

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Print version record.

On the role of field theories in our physical conception of geometry -- Characteristic classes and solutions of gauge theories -- Classification of classical yang-mills fields -- Bundle representations and their applications -- to gauge theory -- The use of exterior forms in field theory -- Electromagnetic fields on manifolds: Betti numbers, monopoles and strings, minimal coupling -- Gravity is the gauge theory of the parallel -- transport modification of the poincare group -- On the lifting of structure groups -- On the non-uniqueness of spin structure in superconductivity -- Conformal invariance in field theory -- Geometric quantization and the WKB approximation -- Some properties of half-forms -- On some approach to geometric quantization -- Representations associated to minimal co-adjoint orrits -- On the Schrödinger equation given by geometric quantisation -- Application of geometric quantization in quantum mechanics -- Thermodynamique et Geometrie -- Some preliminary remarks on the formal variational calculus of gel'fand and dikii -- Reducibility of the symplectic structure of minimal interactions -- Ambiguities in canonical transformations of classical systems and the spectra of quantum observables -- Quantum field theory in curved space-times a general mathematical framework -- On functional integrals in curved spacetime -- Observables for quantum fields on curved background -- Quantization of fields on a curved background -- Supergravity -- Representations of classical lie superalgebras.

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