dorsal/arxiv
View SchemaQuantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2))
| Authors | O. F. Dayi |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9704010 |
| URL | https://arxiv.org/abs/q-alg/9704010 |
| DOI | 10.1088/0305-4470/31/15/016 |
| Journal | J. Phys. A: Math. Gen. 31 (1998) 3523 |
Abstract
Quantum Hall effect wave functions 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 wave functions \Psi_{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)).
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"abstract": "Quantum Hall effect wave functions corresponding to the filling factors\n1/2p+1, 2/2p+1, ..., 2p/2p+1, 1, are shown to form a basis of irreducible\ncyclic representation of the quantum algebra U_q(sl(2)) at q^{2p+1}=1. Thus,\nthe wave functions \\Psi_{P/Q} possessing filling factors P/Q\u003c1 where Q is odd\nand P, Q are relatively prime integers are classified in terms of U_q(sl(2)).",
"arxiv_id": "q-alg/9704010",
"authors": [
"O. F. Dayi"
],
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"q-alg",
"cond-mat.mes-hall",
"math.QA"
],
"doi": "10.1088/0305-4470/31/15/016",
"journal_ref": "J. Phys. A: Math. Gen. 31 (1998) 3523",
"title": "Quantum Hall Effect Wave Functions as Cyclic Representations of U_q(sl(2))",
"url": "https://arxiv.org/abs/q-alg/9704010"
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