Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-02-01
Annals Phys.322:1556-1586,2007
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, 2 figures; typos corrected
Scientific paper
10.1016/j.aop.2007.03.002
A particle system with a (2+1)D exotic Newton-Hooke symmetry is constructed by the method of nonlinear realization. It has three essentially different phases depending on the values of the two central charges. The subcritical and supercritical phases (describing 2D isotropic ordinary and exotic oscillators) are separated by the critical phase (one-mode oscillator), and are related by a duality transformation. In the flat limit, the system transforms into a free Galilean exotic particle on the noncommutative plane. The wave equations carrying projective representations of the exotic Newton-Hooke symmetry are constructed.
Alvarez Pedro D.
Gomis Joaquim
Kamimura Kiyoshi
Plyushchay Mikhail S.
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