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arXiv · 1405.3018

Integrable boundary interactions for Ruijsenaars' difference Toda chain

J. F. van Diejen·E. Emsiz
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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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BibTeXRIS

J. F. van Diejen, E. Emsiz. 2014-05-13. Integrable boundary interactions for Ruijsenaars' difference Toda chain. https://doi.org/10.1007/s00220-014-2266-8

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