Noncommutative Phase Spaces on Aristotle group

Published 27 Dec 2012 in math-ph and math.MP | (1212.6329v2)

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.

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