Abstract
We endow Ruijsenaars’ open difference Toda chain with a one-sided boundary interaction of Askey–Wilson type and diagonalize the quantum Hamiltonian by means of deformed hyperoctahedral q-Whittaker functions that arise as a t = 0 degeneration of the Macdonald–Koornwinder multivariate Askey–Wilson polynomials. This immediately entails the quantum integrability, the bispectral dual system, and the n-particle scattering operator for the chain in question.
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