Completeness of the Bethe Ansatz for an open $q$-boson system with integrable boundary interactions
Mathematical Physics
2018-04-17 v1 math.MP
Representation Theory
Exactly Solvable and Integrable Systems
Abstract
We employ a discrete integral-reflection representation of the double affine Hecke algebra of type at the critical level q=1, to endow the open finite -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.
Keywords
Cite
@article{arxiv.1611.05922,
title = {Completeness of the Bethe Ansatz for an open $q$-boson system with integrable boundary interactions},
author = {J. F. van Diejen and E. Emsiz and I. N. Zurrián},
journal= {arXiv preprint arXiv:1611.05922},
year = {2018}
}
Comments
31 pages, LaTeX