Differential Geometrical Methods in Mathematical Physics
Springer Berlin (Verlag)
978-3-540-08068-8 (ISBN)
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'.
| Erscheint lt. Verlag | 1.2.1977 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | X, 582 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 821 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Algebra • Equation • Geometry • Lie • manifold • Mathematical Physics • Mechanics • Symplectic Geometry |
| ISBN-10 | 3-540-08068-6 / 3540080686 |
| ISBN-13 | 978-3-540-08068-8 / 9783540080688 |
| Zustand | Neuware |
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