Degeneracy of Landau levels and quantum group <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">sl</mi></mrow><mrow><mi mathvariant="italic">q</mi></mrow></msub></mrow></math></span>(2)

Guang-Hong Chen; Le-Man Kuang; Mo-Lin Ge

doi:10.1103/PhysRevB.53.9540

Degeneracy of Landau levels and quantum group ${sl}_{q}$ (2)

Guang-Hong Chen, Le-Man Kuang, and Mo-Lin Ge

Phys. Rev. B 53, 9540 – Published 15 April 1996

Abstract

We show that there is a kind of quantum-group symmetry ${sl}_{q}$ (2) in the usual Landau problem and it is this quantum-group symmetry that governs the degeneracy of Landau levels. Especially, we discuss the relationship between the cyclic representation of the quantum group and the degeneracy of Landau levels. © 1996 The American Physical Society.

Received 27 June 1995

DOI:https://doi.org/10.1103/PhysRevB.53.9540

Authors & Affiliations

Guang-Hong Chen

Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin 300071, People's Republic of China

Le-Man Kuang

Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin 300071, People's Republic of China
Department of Physics, Hunan Normal University, Hunan 410006, People's Republic of China

Mo-Lin Ge

Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin 300071, People's Republic of China

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Vol. 53, Iss. 15 — 15 April 1996

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