Coherent state quantization of a particle in de Sitter space
High Energy Physics - Theory
2009-11-10 v3 Astrophysics
General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.hep-th/0308019,
title = {Coherent state quantization of a particle in de Sitter space},
author = {Jean-Pierre Gazeau and Wlodzimierz Piechocki},
journal= {arXiv preprint arXiv:hep-th/0308019},
year = {2009}
}
Comments
Journal of Physics A: Mathematical and General, vol. 37, in press