A (p, q)-deformed Landau problem in a spherical harmonic well: Spectrum and noncommuting coordinates

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Published 28 September 2007 Europhysics Letters Association
, , Citation J. Ben Geloun et al 2007 EPL 80 30001 DOI 10.1209/0295-5075/80/30001

0295-5075/80/3/30001

Abstract

A (p, q)-deformation of the Landau problem in a spherically symmetric harmonic potential is considered. The quantum spectrum as well as space noncommutativity are established, whether for the full Landau problem or its quantum Hall projections. The well-known noncommutative geometry in each Landau level is recovered in the appropriate limit p,q=1. However, a novel noncommutative algebra for space coordinates is obtained in the (p, q)-deformed case, which could also be of interest to collective phenomena in condensed-matter systems.

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10.1209/0295-5075/80/30001