Bethe ansatz diagonalization of the Heun–Racah operator

被引：0
|
作者：
Pierre-Antoine Bernard
Gauvain Carcone
Nicolas Crampé
Luc Vinet
机构：
[1] Université de Montréal,Centre de Recherches Mathématiques
[2] Université d’Orléans,Institut Denis
[3] IVADO,Poisson CNRS/UMR 7013, Université de Tours
来源：
Letters in Mathematical Physics | 2023年 / 113卷
关键词：
Racah algebra; Heun operator; Bethe ansatz;
D O I：
暂无
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学科分类号：
摘要：
The diagonalization of the Heun–Racah 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 Heun–Racah operator. The associated Bethe equations are derived for both the homogeneous and inhomogeneous cases.
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