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oa Noncommutative phase spaces on Aristotle group
- Source: QScience Connect, Volume 2013, Issue 1, Jun 2013, 2
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- 06 November 2012
- 17 January 2013
- 01 July 2013
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.
© 2013 Ngendakumana, Nzotungicimpaye, Todjihoundé, licensee Bloomsbury Qatar Foundation Journals.