Periodic Integrable Systems with Delta-Potentials
| Authors | |
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| Publication date | 2006 |
| Journal | Communications in Mathematical Physics |
| Volume | Issue number | 264 | 1 |
| Pages (from-to) | 191-225 |
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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. |
| Document type | Article |
| Published at |
https://doi.org/10.1007/s00220-006-1519-6
(Final published version)
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