Coadjoint Orbits of the Poincar\'e Group in 2+1 Dimensions and their Coherent States
Mathematical Physics
2010-12-01 v1 math.MP
Abstract
We study the structure of the coadjoint orbits of the 2+1 Poincar\'e group, using a matricial representation of the group. We also obtain the orbits connected to irreducible representations of the group. Finally we obtain coherent states for the hyperboloidal and conical orbits.
Keywords
Cite
@article{arxiv.1011.6620,
title = {Coadjoint Orbits of the Poincar\'e Group in 2+1 Dimensions and their Coherent States},
author = {V. Hudon and S. Twareque Ali},
journal= {arXiv preprint arXiv:1011.6620},
year = {2010}
}
Comments
26 pages, to be published in Bollettino di Matematica Pura ed Applicata