Landau Level Quantization on the Sphere

Abstract

It is well established that the Hilbert space for charged particles in a plane subject to a uniform magnetic field can be described by two mutually commuting ladder algebras. We propose a similar formalism for Landau level quantization involving two mutually commuting SU(2) algebras.

6 pages

References in corpus (4)

• The non-Abelian Interferometer
• Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime
• Numerical Analysis of Quasiholes of the Moore-Read Wavefunction
• Paired composite fermion wavefunctions