Coherent state quantization of a particle in de Sitter space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Journal of Physics A: Mathematical and General, vol. 37, in press

Scientific paper

10.1088/0305-4470/37/27/008

We present a coherent state quantization of the dynamics of a relativistic test particle on a one-sheet hyperboloid embedded in a three-dimensional Minkowski space. The group SO_0(1,2) is considered to be the symmetry group of the system. Our procedure relies on the choice of coherent states of the motion on a circle. The coherent state realization of the principal series representation of SO_0(1,2) seems to be a new result.

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