Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
TL;DR
This paper characterizes the most general Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators, which are second order q-difference operators acting on rational functions with poles on the Askey-Wilson grid.
Contribution
It introduces a novel characterization of these Hamiltonians as Heun operators, expanding the understanding of their algebraic and analytical structure.
Findings
Hamiltonians are second order q-difference operators.
They act as raising operators on rational functions.
Poles are located on the Askey-Wilson grid.
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.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Spectral Theory in Mathematical Physics · Algebraic structures and combinatorial models