Trigonometric Cherednik algebra at critical level and quantum many-body problems (Q2269866)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Trigonometric Cherednik algebra at critical level and quantum many-body problems |
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Trigonometric Cherednik algebra at critical level and quantum many-body problems (English)
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12 March 2010
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The trigonometric Cherednik algebra [\textit{I. Cherednik}, Commun. Math. Phys. 169, No. 2, 441--461 (1995; Zbl 0826.35100)], a requisite tool for noncritical level to analyze quantum Calogero-Moser systems with trigonometric potentials, is extended to the critical level in order to analyze the root system generalizations of quantum spin-particle on the circle with \(\delta\)-function interaction.
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trigonometric Cherednik algebra
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quantum Calogero-Moser system
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Dunkl-type operator
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delta-function interaction
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Bethe ansatz
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