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arXiv · 1611.05922

Completeness of the Bethe Ansatz for an open $q$-boson system with integrable boundary interactions

J. F. van Diejen·E. Emsiz·I. N. Zurrián
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Abstract

We employ a discrete integral-reflection representation of the double affine Hecke algebra of type $C^\vee C$ at the critical level q=1, to endow the open finite $q$-boson system with integrable boundary interactions at the lattice ends. It is shown that the Bethe Ansatz entails a complete basis of eigenfunctions for the commuting quantum integrals in terms of Macdonald's three-parameter hyperoctahedral Hall-Littlewood polynomials.

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J. F. van Diejen, E. Emsiz, I. N. Zurrián. 2016-11-17. Completeness of the Bethe Ansatz for an open $q$-boson system with integrable boundary interactions. https://doi.org/10.1007/s00023-018-0658-6

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