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arXiv · 2209.09213

Bethe ansatz diagonalization of the Heun-Racah operator

Pierre-Antoine Bernard·Gauvain Carcone·Nicolas Crampe·Luc Vinet
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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.

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Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampe, Luc Vinet. 2022-09-19. Bethe ansatz diagonalization of the Heun-Racah operator. https://doi.org/10.1007/s11005-023-01633-7

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