Noncommutative Phase Spaces by Coadjoint Orbits Method

Understand

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.