Topology of spacetime and quantization of particle dynamics
Abstract
Description
We compare classical and quantum dynamics of a particle in the de Sitter spacetimes with different topologies to show that the result of quantization strongly depends on global properties of a classical system. We present essentially self-adjoint representations of the algebra of observables for each system. Quantization based on global properties of a classical system accounts properly its symmetries.
17 pages, no figures, revtex, improved version
17 pages, no figures, revtex, improved version