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Geometry of 2d spacetime and quantization of particle dynamics |
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| Institution: | 1. Razmadze Mathematical Institute, Tbilisi, Georgia;2. Sołtan Institute for Nuclear Studies, Warsaw, Poland;1. Faculty of Physics, Shahrood University of Technology, Shahrood, Iran;2. School of Physics and Electronic Science, Zunyi Normal University, Zunyi 563006, China;1. Department of Physics, Shanxi Datong University, Datong 037009, China;2. Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China |
| Abstract: | We analyze classical and quantum dynamics of a relativistic particle in 2d spacetimes with constant curvature. 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↑(2.1) group. |
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