Degeneracy of Landau Level and Quantum Group SL_q(2)
Condensed Matter
2015-06-25 v1
Abstract
We show that there is a kind of quantum group symmetry in the usual Landau problem and it is this quantum group symmetry that governs the degeneracy of Landau levels. We find that under the periodic boundary condition, the degree of degeneracy of Landau levels is finite, and it just equals the dimension of the irreducible cyclic representation of the quantum group .
Cite
@article{arxiv.cond-mat/9509091,
title = {Degeneracy of Landau Level and Quantum Group SL_q(2)},
author = {Guang-Hong Chen and Le-Man Kuang and Mo-lin Ge},
journal= {arXiv preprint arXiv:cond-mat/9509091},
year = {2015}
}
Comments
10 pages, Preprint ( reprint ) of Nankai Institute of Mathematics. For hard copy, write to Prof. Mo-lin GE, Director of Nankai Institute of Mathematics. Do not send emails to this computer account