Noncommutative oscillator, symmetry and Landau problem

Pulak Ranjan Giri; P. Roy

doi:10.1140/epjc/s10052-008-0705-4

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arXiv · 0803.4090

Noncommutative oscillator, symmetry and Landau problem

Pulak Ranjan Giri·P. Roy

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Abstract

Isotropic oscillator on a plane is discussed where both the coordinate and momentum space are considered to be noncommutative. We also discuss the symmetry properties of the oscillator for three separate cases when both the noncommutative parameters Θand \barΘ satisfy specific relations. We compare the Landau problem with the isotropic oscillator on noncommutative space and obtain a relation between the two noncommutative parameters with the magnetic field of the Landau problem.

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Pulak Ranjan Giri, P. Roy. 2008-04-07. Noncommutative oscillator, symmetry and Landau problem. https://doi.org/10.1140/epjc%2Fs10052-008-0705-4

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