A (p, q)-deformed Landau problem in a spherical harmonic well: Spectrum and noncommuting coordinates
Year: 2007
Type: article
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.
Source: Europhysics Letters (EPL)
Authors: J. Ben Geloun, J. Govaerts, M. N. Hounkonnou
Institutions: UNESCO, Stellenbosch University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1966746010