Noncommutative Phase Spaces by Coadjoint Orbits Method

Details Noncommutative Phase Spaces by Coadjoint Orbits Method Noncommutative Phase Spaces by Coadjoint Orbits Method

2011-02-03

arxiv.org/abs/1102.0718v4

SIGMA 7 (2011), 116, 12 pages

Physics

Mathematical Physics

Scientific paper

10.3842/SIGMA.2011.116

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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