| Issue |
EPL
Volume 80, Number 3, November 2007
|
|
|---|---|---|
| Article Number | 30001 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/80/30001 | |
| Published online | 01 October 2007 | |
A (
)-deformed Landau problem in a spherical harmonic well: Spectrum and noncommuting coordinates
1
International Chair of Mathematical Physics and Applications (ICMPA-UNESCO Chair) 072 B.P. 50 Cotonou, Republic of Benin
2
Institute of Theoretical Physics, Department of Physics, University of Stellenbosch Stellenbosch 7600, Republic of South Africa
Corresponding authors: jobengeloun@gmail.com Jan.Govaerts@fynu.ucl.ac.be norbert_hounkonnou@cipma.net
Received:
25
June
2007
Accepted:
7
September
2007
A 
-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 
. However, a novel noncommutative algebra
for space coordinates is obtained in the -deformed case, which could also
be of interest to collective phenomena in condensed-matter systems.
PACS: 02.40.Gh – Noncommutative geometry / 02.20.-a – Group theory / 02.20.Uw – Quantum groups
© Europhysics Letters Association, 2007
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