Landau Levels and Quantum Group

Details Landau Levels and Quantum Group Landau Levels and Quantum Group

1993-11-19

arxiv.org/abs/hep-th/9311111v1

Mod.Phys.Lett. A9 (1994) 451-458

Physics

High Energy Physics

High Energy Physics - Theory

(revised version), 10 pages, OS-GE-36-93

Scientific paper

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 $q$ of the quantum algebra turns out to be given by the fractional filling factor $\nu=1/m$ ($m$ odd integer).

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