A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Geometry of 2d spacetime and quantization of particle dynamics
1999
Physics Letters B
Preserved Fulltext
Other Versions
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_↑ (2.1) group.
doi:10.1016/s0370-2693(99)00841-2
fatcat:kspelclxbremnetelxkuxwjgam