Geodesic
Noncommutative Phase Spaces by Coadjoint Orbits Method
Symmetry, integrability and geometry: methods and applications, Tome 7 (2011)

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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.
Keywords: classical mechanics, noncommutative phase space, symplectic realizations, magnetic and dual magnetic fields.
Mots-clés : coadjoint orbit 
Ancille Ngendakumana; Joachim Nzotungicimpaye; Leonard Todjihounde. Noncommutative Phase Spaces by Coadjoint Orbits Method. Symmetry, integrability and geometry: methods and applications, Tome 7 (2011). http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a115/
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a115/}
}
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