Supersymmetric sine algebra and degeneracy of Landau levels

Authors
Jellal, A Daoud, M Hassouni, Y
Citation
A. Jellal et al., Supersymmetric sine algebra and degeneracy of Landau levels, PHYS LETT B, 474(1-2), 2000, pp. 122-129
Citations number
25
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
474
Issue
1-2
Year of publication
2000
Pages
122 - 129
Database
ISI
SICI code
0370-2693(20000210)474:1-2<122:SSAADO>2.0.ZU;2-F
Abstract
Two different realizations of the supersymmetric sine algebra (SSA) are giv en. We show that the quantum superalgebra sl(q)(2/1) is derived from the SS A. We discuss the relevance of the latter result to the study of spin-1/2 B loch electron in a constant magnetic field. The relation between the deform ation parameter q and the degeneracy of Landau levels is established. (C) 2 000 Published by Elsevier Science B.V All rights reserved.