Group theoretical construction of planar Noncommutative Phase Spaces

Ancille Ngendakumana; Joachim Nzotungicimpaye; Leonard Todjihounde

Group theoretical construction of planar Noncommutative Phase Spaces

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arxiv 1308.3065 v1 pith:EHRWAQCC submitted 2013-08-14 math-ph math.MP

Ancille Ngendakumana , Joachim Nzotungicimpaye , Leonard Todjihounde This is my paper

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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 noncentrally extended planar absolute time Lie groups. Through these constructions the coordinates of the phase spaces do not commute due to the presence of naturally introduced fields giving rise to minimal couplings. By symplectic realizations methods, physical interpretations of generators coming from the obtained structures are given.

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Statistical Physics of Planar Carroll Systems
math-ph 2026-06 unverdicted novelty 7.0 of 10

Planar Carrollian statistical physics is well-defined thanks to central extensions and rotation, yielding logarithmic entropy scaling with disc area and two-dimensional ideal-gas pressure.

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