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Coherent state quantization of a particle in de Sitter space

Jean-Pierre Gazeau·Wlodzimierz Piechocki
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Abstract

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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Jean-Pierre Gazeau, Wlodzimierz Piechocki. 2004-06-14. Coherent state quantization of a particle in de Sitter space. https://doi.org/10.1088/0305-4470%2F37%2F27%2F008

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