One Particle Hilbertspace of 2+1 dimensional Gravity using Non commuting Coordinates
General Relativity and Quantum Cosmology
2009-10-30 v1
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.
Cite
@article{arxiv.gr-qc/9703057,
title = {One Particle Hilbertspace of 2+1 dimensional Gravity using Non commuting Coordinates},
author = {M. Welling},
journal= {arXiv preprint arXiv:gr-qc/9703057},
year = {2009}
}
Comments
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