<p>The most general Ruijsenaars-van Diejen-Takemura Hamiltonians are characterized as Heun operators defined as second-order <i>q</i>-difference operators with a raising action on elementary rational functions with poles on the Askey-Wilson grid.</p>

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Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators

  • Satoshi Tsujimoto,
  • Luc Vinet,
  • Alexei Zhedanov

摘要

The most general Ruijsenaars-van Diejen-Takemura Hamiltonians are characterized as Heun operators defined as second-order q-difference operators with a raising action on elementary rational functions with poles on the Askey-Wilson grid.