Integrable boundary interactions for Ruijsenaars' difference Toda chain
Mathematical Physics
2015-03-24 v1 math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1405.3018,
title = {Integrable boundary interactions for Ruijsenaars' difference Toda chain},
author = {J. F. van Diejen and E. Emsiz},
journal= {arXiv preprint arXiv:1405.3018},
year = {2015}
}
Comments
18 pages