Volume 80, Number 3, November 2007
|Number of page(s)||6|
|Published online||01 October 2007|
A ()-deformed Landau problem in a spherical harmonic well: Spectrum and noncommuting coordinates
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
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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