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arXiv · gr-qc/9811094

Geometry of 2d spacetime and quantization of particle dynamics

George Jorjadze·Włodzimierz Piechocki
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Abstract

We analyze classical and quantum dynamics of a particle in 2d spacetimes with constant curvature which are locally isometric but globally different. We show that global symmetries of spacetime specify the symmetries of physical phase-space and the corresponding quantum theory. To quantize the systems we parametrize the physical phase-space by canonical coordinates. Canonical quantization leads to unitary irreducible representations of $SO_\uparrow (2.1)$ group.

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George Jorjadze, Włodzimierz Piechocki. 1998-11-30. Geometry of 2d spacetime and quantization of particle dynamics. https://doi.org/10.1016/s0370-2693(99)00841-2

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