Noncommutative Phase Spaces by Coadjoint Orbits Method

Abstract

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.

References in corpus (4)

• Exotic galilean symmetry in the non-commutative plane, and the Hall effect
• Newton's Second Law in a Noncommutative Space
• Noncommutative configuration space. Classical and quantum mechanical aspects
• Exotic plasma as classical Hall Liquid

Cited by in corpus (3)

• Newton-Hooke type symmetry of anisotropic oscillators
• Group theoretical construction of planar Noncommutative Phase Spaces
• Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism