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• W2101668840 abstract "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." @default.
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• W2101668840 date "2008-02-01" @default.
• W2101668840 modified "2023-09-25" @default.
• W2101668840 title "Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton–Hooke symmetry" @default.
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• W2101668840 doi "https://doi.org/10.1016/j.physletb.2007.12.016" @default.
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