Landau Levels and Quantum Group
High Energy Physics - Theory
2015-06-26 v1
Abstract
We find a quantum group structure in two-dimensional motions of a nonrelativistic electron in a uniform magnetic field and in a periodic potential. The representation basis of the quantum algebra is composed of wavefunctions of the system. The quantum group symmetry commutes with the Hamiltonian and is relevant to the Landau level degeneracy. The deformation parameter of the quantum algebra turns out to be given by the fractional filling factor ( odd integer).
Cite
@article{arxiv.hep-th/9311111,
title = {Landau Levels and Quantum Group},
author = {H. -T. Sato},
journal= {arXiv preprint arXiv:hep-th/9311111},
year = {2015}
}
Comments
(revised version), 10 pages, OS-GE-36-93