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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

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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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