One Particle Hilbertspace of 2+1 dimensional Gravity using Non commuting Coordinates
arXiv:gr-qc/9703057 · doi:10.1016/S0920-5632(97)00368-X
Abstract
After a review of multi particle solutions in classical 2+1 dimensional gravity we will construct a one particle Hilbert space. As we will use a curved momentum space, the coordinates are represented as non commuting Hermitian operators on this Hilbertspace. Finally we will indicate how to construct a Schrodinger equation.
4 pages Latex, 2 eps figures, uses espcr.sty; Talk given at the Second Meeting on Constrained Dynamics and Quantum Gravity, Santa Margherita Ligure, Italy, 17-21 september 1996