Bethe Ansatz for the Ruijsenaars Model of BC1-Type
Abstract
We consider one-dimensional elliptic Ruijsenaars model of type BC1. It is given by a three-term difference Schr\"odinger 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 A1-case.
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