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Periodic integrable systems with delta-potentials

Erdal Emsiz·Eric M. Opdam·Jasper V. Stokman
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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 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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BibTeXRIS

Erdal Emsiz, Eric M. Opdam, Jasper V. Stokman. 2005-12-22. Periodic integrable systems with delta-potentials. https://doi.org/10.1007/s00220-006-1519-6

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