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 on a sphere involving two mutually commuting SU(2) algebras.
- Publication:
-
Physical Review B
- Pub Date:
- March 2011
- DOI:
- 10.1103/PhysRevB.83.115129
- arXiv:
- arXiv:1101.3943
- Bibcode:
- 2011PhRvB..83k5129G
- Keywords:
-
- 73.43.Cd;
- 03.65.Ca;
- Theory and modeling;
- Formalism;
- Condensed Matter - Strongly Correlated Electrons;
- Quantum Physics
- E-Print:
- 6 pages