Noncommutative Phase Spaces by Coadjoint Orbits Method

Symmetry Integrability and Geometry-Methods and Applications

article

Ancille Ngendakumana¹  Joachim Nzotungicimpaye²  Leonard Todjihounde¹ 

[1] Institut de Mathématiques et des Sciences Physiques;Kigali Institute of Education

关键词: classical mechanics;    noncommutative phase space;    coadjoint orbit;    symplectic realizations;    magnetic and dual magnetic fields;   

DOI  :  10.3842/SIGMA.2011.116

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown