Geometry of 2d spacetime and quantization of particle dynamics

Details Geometry of 2d spacetime and quantization of particle dynamics Geometry of 2d spacetime and quantization of particle dynamics

1998-11-30

arxiv.org/abs/gr-qc/9811094v1

Phys.Lett. B461 (1999) 183-188

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, LaTeX2e, submitted for publication

Scientific paper

10.1016/S0370-2693(99)00841-2

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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