Noncommutative Phase Spaces by Coadjoint Orbits Method
Mathematical Physics
2011-12-20 v4 math.MP
Abstract
We introduce noncommutative phase spaces by minimal couplings (usual one, dual one and their mixing). We then realize some of them as coadjoint orbits of the anisotropic Newton-Hooke groups in two- and three-dimensional spaces. Through these constructions the positions and the momenta of the phase spaces do not commute due to the presence of a magnetic field and a dual magnetic field.
Cite
@article{arxiv.1102.0718,
title = {Noncommutative Phase Spaces by Coadjoint Orbits Method},
author = {Ancille Ngendakumana and Joachim Nzotungicimpaye and Leonardt Todjihounde},
journal= {arXiv preprint arXiv:1102.0718},
year = {2011}
}