Noncommutative Phase Spaces on Aristotle group
Mathematical Physics
2013-07-29 v2 math.MP
Abstract
We realize noncommutative phase spaces as coadjoint orbits of extensions of the Aristotle group in a two-dimensional space. Through these constructions the momenta of the phase spaces do not commute due to the presence of a naturally introduced magnetic field. These cases correspond to the minimal coupling of the momentum with a magnetic potential.
Keywords
Cite
@article{arxiv.1212.6329,
title = {Noncommutative Phase Spaces on Aristotle group},
author = {Ancille Ngendakumana and Joachim Nzotungicimpaye and Leonard Todjihounde},
journal= {arXiv preprint arXiv:1212.6329},
year = {2013}
}
Comments
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