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
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 …