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

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. © Europhysics Letters Association.