Geometry of 2d spacetime and quantization of particle dynamics

George Jorjadze, Włodzimierz Piechocki
1999 Physics Letters B  
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