TY - JOUR

T1 - Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry

AU - Alvarez, Pedro D.

AU - Gomis, Joaquim

AU - Kamimura, Kiyoshi

AU - Plyushchay, Mikhail S.

PY - 2008/2/7

Y1 - 2008/2/7

N2 - We investigate the planar anisotropic harmonic oscillator with explicit rotational symmetry as a particle model with non-commutative coordinates. It includes the exotic Newton-Hooke particle and the non-commutative Landau problem as special, isotropic and maximally anisotropic, cases. The system is described by the same (2 + 1)-dimensional exotic Newton-Hooke symmetry as in the isotropic case, and develops three different phases depending on the values of the two central charges. The special cases of the exotic Newton-Hooke particle and non-commutative Landau problem are shown to be characterized by additional, so (3) or so (2, 1) Lie symmetry, which reflects their peculiar spectral properties.

AB - We investigate the planar anisotropic harmonic oscillator with explicit rotational symmetry as a particle model with non-commutative coordinates. It includes the exotic Newton-Hooke particle and the non-commutative Landau problem as special, isotropic and maximally anisotropic, cases. The system is described by the same (2 + 1)-dimensional exotic Newton-Hooke symmetry as in the isotropic case, and develops three different phases depending on the values of the two central charges. The special cases of the exotic Newton-Hooke particle and non-commutative Landau problem are shown to be characterized by additional, so (3) or so (2, 1) Lie symmetry, which reflects their peculiar spectral properties.

UR - http://www.scopus.com/inward/record.url?scp=38149136559&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2007.12.016

DO - 10.1016/j.physletb.2007.12.016

M3 - Article

AN - SCOPUS:38149136559

SN - 0370-2693

VL - 659

SP - 906

EP - 912

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 5

ER -