Noncommutative Phase Spaces by Coadjoint Orbits Method

Ancille Ngendakumana; Joachim Nzotungicimpaye; Leonardt Todjihounde

Noncommutative Phase Spaces by Coadjoint Orbits Method

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arxiv 1102.0718 v4 pith:LYFRD23H submitted 2011-02-03 math-ph math.MP

Ancille Ngendakumana , Joachim Nzotungicimpaye , Leonardt Todjihounde This is my paper · ORCID

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keywords spacesphasecoadjointdualfieldmagneticnoncommutativeorbits

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We introduce noncommutative phase spaces by minimal couplings (usual one, dual one and their mixing). We then realize some of them as coadjoint orbits of the anisotropic Newton-Hooke groups in two- and three-dimensional spaces. Through these constructions the positions and the momenta of the phase spaces do not commute due to the presence of a magnetic field and a dual magnetic field.

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Peierls substitution and Hall motion in exotic Carroll dynamics
hep-th 2024-11 accept novelty 5.0 of 10

Exotic Carroll particles with two-parameter central extension move by an anomalous Hall law, and their critical reduction reproduces the Dunne-Jackiw-Trugenberger model underlying the Peierls substitution.

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