Integrable boundary interactions for Ruijsenaars' difference Toda chain
arXiv:1405.3018 · doi:10.1007/s00220-014-2266-8
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 -Whittaker functions that arise as a degeneration of the Macdonald-Koornwinder multivariate Askey-Wilson polynomials. This immediately entails the quantum integrability, the bispectral dual system, and the -particle scattering operator for the chain in question.
18 pages