10 citations · 15 across the 9 of their papers we have counts for
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Kinematical versus Dynamical Contractions of the de Sitter Lie algebras
Joachim Nzotungicimpaye
We explicit and clarify better the contraction method that Bacry and Levy-Leblond\cite{jmll} used to link all the kinematical Lie groups. Firstly, we use the kinematical parameters…
Group theoretical construction of planar Noncommutative Phase Spaces
Ancille Ngendakumana, Joachim Nzotungicimpaye, Leonard Todjihounde
Noncommutative phase spaces are generated and classified in the framework of centrally extended anisotropic planar kinematical Lie groups as well as in the framework of noncentrall…
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…
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…
On a two-particles system associated to the one spatial dimensional Galilei group
Joachim Nzotungicimpaye
In [8], M.Daumens and M.Perroud studied a two Galilean free particles system by realizing the three dimensional Galilei group on its maximal coadjoint orbit. In this paper we reali…
Mass, Impetus and Force by Symplectic Realizations of the Static Group
Joachim Nzotungicimpaye
We show by symplectic realizations of the one dimensional Static group that the maximal -elementary system is a a massive particle under an invariant force participating…