Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators
Mathematical Physics
2026-03-17 v1 Classical Analysis and ODEs
math.MP
Abstract
The most general Ruijsenaars-van Diejen-Takemura Hamiltonians are characterized as Heun operators defined as second order -difference operators with a raising action on elementary rational functions with poles on the Askey-Wilson grid.
Keywords
Cite
@article{arxiv.2603.15595,
title = {Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators},
author = {Satoshi Tsujimoto and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:2603.15595},
year = {2026}
}