Quantum superalgebra \(sl_q(2/1)\) on the Poincaré half-plane (Q5933505)
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scientific article; zbMATH DE number 1599196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantum superalgebra \(sl_q(2/1)\) on the Poincaré half-plane |
scientific article; zbMATH DE number 1599196 |
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Quantum superalgebra \(sl_q(2/1)\) on the Poincaré half-plane (English)
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12 December 2001
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It is shown that the quantum superalgebra \(sl_q(2|1)\) is a symmetry algebra of a spin 1/2 electron moving in the Poincaré upper half-plane perpendicular to a constant magnetic field. The representation theory of \(sl_q(2|1)\) at a root of unity is then used to determine the degree of the degeneracy of the lowest Landau level.
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Poincaré half-plane
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quantum superalgebra
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electron in magnetic field
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symmetry algebra
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spin 1/2 electron
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constant magnetic field
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representation theory
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degeneracy
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lowest Landau level
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