| Authors |
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| Publication date |
2006
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| Journal |
Communications in Mathematical Physics
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| Volume | Issue number |
264 | 1
|
| Pages (from-to) |
191-225
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| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| Abstract |
Abstract In this paper we study root system generalizations of the quantum Bose-gas on the circle with pair-wise delta-function interactions. The underlying symmetry structures are shown to be governed by the associated graded algebra of Cherednik's (suitably filtered) degenerate double affine Hecke algebra, acting by Dunkl-type differential-reflection operators. We use Gutkin's generalization of the equivalence between the impenetrable Bose-gas and the free Fermi-gas to derive the Bethe ansatz equations and the Bethe ansatz eigenfunctions.
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| Document type |
Article
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| Published at |
https://doi.org/10.1007/s00220-006-1519-6
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