Bethe ansatz diagonalization of the HeunRacah operator
Abstract
The diagonalization of the HeunRacah operator is studied 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 HeunRacah operator. The associated Bethe equations are derived for both the homogeneous and inhomogeneous cases.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 February 2023
 DOI:
 10.1007/s11005023016337
 arXiv:
 arXiv:2209.09213
 Bibcode:
 2023LMaPh.113....8B
 Keywords:

 Racah algebra;
 Heun operator;
 Bethe ansatz;
 Mathematical Physics
 EPrint:
 doi:10.1007/s11005023016337