Bethe ansatz diagonalization of the Heun-Racah operator
Mathematical Physics
2023-02-01 v1 math.MP
Abstract
The Heun-Racah operator is diagonalized with the help of the modified algebraic Bethe ansatz. This operator is the most general bilinear expression in two generators of the Racah algebra. A presentation of this algebra is given in terms of dynamical operators, and allows the construction of Bethe vectors for the Heun-Racah operator. The associated Bethe equations are derived for both the homogeneous and inhomogeneous cases.
Cite
@article{arxiv.2209.09213,
title = {Bethe ansatz diagonalization of the Heun-Racah operator},
author = {Pierre-Antoine Bernard and Gauvain Carcone and Nicolas Crampe and Luc Vinet},
journal= {arXiv preprint arXiv:2209.09213},
year = {2023}
}