One-particle Hilbert space of 2+1 dimensional gravity using non-commuting coordinates
/ Authors
/ Abstract
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 χμ are represented as non-commuting Hermitian operators on this Hilbert space. Finally we will indicate how to construct a Schrodinger equation.
Journal: arXiv: General Relativity and Quantum Cosmology