Topology of spacetime and quantization of particle dynamics

Details Topology of spacetime and quantization of particle dynamics Topology of spacetime and quantization of particle dynamics

2001-05-02

arxiv.org/abs/gr-qc/0105005v7

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, no figures, revtex, improved version

Scientific paper

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.

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