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

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

1997-03-21

arxiv.org/abs/gr-qc/9703057v1

Nucl.Phys.Proc.Suppl. 57 (1997) 346-349

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages Latex, 2 eps figures, uses espcr.sty; Talk given at the Second Meeting on Constrained Dynamics and Quantum Gravity, Sa

Scientific paper

10.1016/S0920-5632(97)00368-X

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

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