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One Particle Hilbertspace of 2+1 dimensional Gravity using Non commuting Coordinates

M. Welling
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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 $x^μ$ are represented as non commuting Hermitian operators on this Hilbertspace. Finally we will indicate how to construct a Schrodinger equation.

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M. Welling. 1997-03-21. One Particle Hilbertspace of 2+1 dimensional Gravity using Non commuting Coordinates. https://doi.org/10.1016/s0920-5632(97)00368-x

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