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Journal Articles J.Phys.A Year : 2023

The $q$-Racah polynomials from scalar products of Bethe states

Abstract

The $q$-Racah polynomials are expressed in terms of certain ratios of scalar products of Bethe states associated with Bethe equations of either homogeneous or inhomogeneous type. This result is obtained by combining the theory of Leonard pairs and the modified algebraic Bethe ansatz.

Dates and versions

hal-03894999 , version 1 (12-12-2022)

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Pascal Baseilhac, Rodrigo A. Pimenta. The $q$-Racah polynomials from scalar products of Bethe states. J.Phys.A, 2023, 56 (38), pp.385202. ⟨10.1088/1751-8121/acef0c⟩. ⟨hal-03894999⟩
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