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math-ph2012★ 2 cited
Noncommutative Phase Spaces on Aristotle group
Ancille Ngendakumana, Joachim Nzotungicimpaye, Leonard Todjihounde
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 spa…
math-ph2012★ 2 cited
Para-Galilean versus Galilean Noncommutative Phase spaces
Ancille Ngendakumana, Joachim Nzotungicimpaye, Leonard Todjihounde
The present paper deals with the construction of noncommutative phase spaces as coadjoint orbits of noncentral extensions of Galilei and Para-Galilei groups in two-dimensional spac…