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

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dc.creatorAlvarez, Pedro D.
dc.creatorGomis, Joaquim
dc.creatorKamimura, Kiyoshi
dc.creatorPlyushchay, Mikhail S.
dc.date2007-11-16
dc.date.accessioned2026-07-07T11:38:47Z
dc.date.available2026-07-07T11:38:47Z
dc.descriptionWe 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0711.2644
dc.identifierhttp://arxiv.org/abs/0711.2644
dc.identifierPhys.Lett.B659:906-912,2008
dc.identifierdoi:10.1016/j.physletb.2007.12.016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199688
dc.subjectHigh Energy Physics - Theory
dc.titleAnisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
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