Differential Geometry, Group Representations, and Quantization

In this topical volume, invited experts survey applications of differential geometry and group theory in classical and quantum physics. They address both researchers and students.

Inhalt
Global differential geometric methods in elasticity and hydrodynamics.- GL(n, ?), tetrads and generalized space-time dynamics.- On boundary conditions for Yang-Mills fields in spatially bounded domains.- Parallel transport of phases.- An alternative approach to the quantization of linear relativistic field equations.- A lattice approximation of the dirac equation.- Some hidden aspects of hidden symmetry.- A baryon standard model for electroweak and strong interactions.- Is the physical vacuum really Lorentz-invariant?.- Quantization, coherent states and diffeomorphism groups.- Borel quantization and the origin of topological effects in quantum mechanics.- Symmetries of quantum group coupling coefficients.- Symmetry groups and spectrum generating groups.- Spectrum and character formulae of so(3, 2) unitary representations.- Quantum theory of single events.- Symmetry, entropy and complexity.- Steps in the philosophy of quantum theory.