%0 Journal Article %A Ngendakumana, Ancille %A Nzotungicimpaye, Joachim %A Todjihoundé, Leonard %T Noncommutative phase spaces on Aristotle group %D 2013 %J QScience Connect, %V 2013 %N 1 %@ 2223-506X %C 2 %R https://doi.org/10.5339/connect.2013.2 %K symplectic realizations %K noncommutative phase space %K coadjoint orbits %K noncentral extension %K magnetic fields %I Hamad bin Khalifa University Press (HBKU Press), %X 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. %U https://www.qscience.com/content/journals/10.5339/connect.2013.2