2003/08/31 by Jean-Pierre Gazeau, Wlodzimierz Piechocki, W odzimierz Piechocki · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1088/0305-4470/37/27/008
Journal of Physics A: Mathematical and General, vol. 37, in press
arxiv created 2004/06/14 · openalex publication_date 2004/06/22 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/30
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.