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

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

2006-09-18

arxiv.org/abs/hep-th/0609120v2

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures; updated references

Scientific paper

10.1209/0295-5075/80/30001

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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