One Particle Hilbertspace of 2+1 dimensional Gravity using Non commuting Coordinates
M. Welling
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 xμ are represented as non commuting Hermitian operators on this Hilbertspace. Finally we will indicate how to construct a Schrodinger equation.
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