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Bethe Ansatz for the Ruijsenaars Model of BC_1-Type

Oleg Chalykh
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Abstract

We consider one-dimensional elliptic Ruijsenaars model of type $BC_1$. It is given by a three-term difference Schrödinger operator $L$ containing 8 coupling constants. We show that when all coupling constants are integers, $L$ has meromorphic eigenfunctions expressed by a variant of Bethe ansatz. This result generalizes the Bethe ansatz formulas known in the $A_1$-case.

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BibTeXRIS

Oleg Chalykh. 2007-02-22. Bethe Ansatz for the Ruijsenaars Model of BC_1-Type. https://doi.org/10.3842/sigma.2007.028

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