U_q(sl(2) as Dynamical Symmetry Algebra of the Quantum Hall Effect

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dc.creatorDayi, Omer F.
dc.date1998-03-10
dc.date.accessioned2026-07-07T05:24:02Z
dc.date.available2026-07-07T05:24:02Z
dc.descriptionQuantum Hall effect wavefunctions corresponding to the filling factors 1/2p+1, 2/2p+1,..., 2p/2p+1, 1, are shown to form a basis of irreducible cyclic representation of the quantum algebra U_q(sl(2)) at q^{2p+1}=1. Thus, the wavefunctions Ψ_{P/Q} possessing filling factors P/Q<1 where Q is odd and P, Q are relatively prime integers are classified in terms of U_q(sl(2)). Adopted as dynamical symmetry this leads to non--existence of a ``universal microscopic theory" of the quantum Hall effect, defined as the eigenvalue problem of a differential operator O: O Ψ_ν=\ell_νΨ_ν. for ν=1,1/3,2/3,..., in the complex plane.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/9803032
dc.identifierhttp://arxiv.org/abs/math/9803032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76682
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleU_q(sl(2) as Dynamical Symmetry Algebra of the Quantum Hall Effect
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