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Topology of spacetime and quantization of particle dynamics

Wlodzimierz Piechocki
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Abstract

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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Wlodzimierz Piechocki. 2001-11-08. Topology of spacetime and quantization of particle dynamics. https://arxiv.org/abs/gr-qc/0105005

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