1.

Record Nr.

UNISA996466373803316

Autore

Bleuler Konrad <1912->

Titolo

Differential geometrical methods in mathematical physics : proceedings of the symposium held at the University at the University of Bonn, July 1 - 4 1975 / / K. Bleuler, A. Reetz

Pubbl/distr/stampa

Berlin : , : Springer, , [1977]

©1977

ISBN

3-540-37498-1

Edizione

[1st ed. 1977.]

Descrizione fisica

1 online resource (X, 582 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 570

Disciplina

516.36

Soggetti

Geometry, Differential

Mathematical physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

An outline of geometric quantisation (d'après Kostant) -- The metalinear geometry of non-real polarizations -- On cohomology groups appearing in geometric quantization -- Geometric quantization and Feynman path integrals for spin -- V. Fock, 40 years later -- Interpretation geometrique des etats quantiques -- Geometric structure of quantization -- The application of graded Lie algebras to invariance considerations in particle physics -- Some recent results on supersymmetry -- Graded manifolds, graded Lie theory, and prequantization -- Gauge fields as quantized connection forms -- Complex line bundles and the magnetic field of a monopole -- Conclusions from an extended gauge principle of Dirac's equation -- Reducibility of the symplectic structure of classical fields with gauge-symmetry -- New geometrical dynamics -- On the generalization of symplectic geometry to multiple integrals in the Calculus of Variations -- A symplectic formulation of particle dynamics -- A symplectic formulation of field dynamics -- Canonical transformations and their representations in quantum mechanics -- On a symplectic structure of general relativity -- On the symplectic formulation of the einstein system of evolution in presence of a self-gravitating scalar field -- Invertible foliations and type D-spaces -- Deformations of the embedded Einstein spaces -- The causal structure of singularities --



Towards quantum gravity -- Remarks about Dirac's idea of cosmological variation of so called ‘constants of nature’.