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math-ph2026
Rational Heun operators on -linear grids
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
Rational Heun operators on the linear grid are presented. They are second-order difference operators constructively defined from the requirement that they have a rais…
math-ph2026
The dynamical algebra of the generic superintegrable model on the two-sphere
Nicolas Crampé, Quentin Labriet, Lucia Morey +3
The rank two Jacobi algebra is identified as the dynamical algebra of the generic quadratic superintegrable model on the two-sphere. The physical representation of…
math-ph2026
Ruijsenaars-van Diejen-Takemura Hamiltonians as rational Heun operators
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
The most general Ruijsenaars-van Diejen-Takemura Hamiltonians are characterized as Heun operators defined as second order -difference operators with a raising action on elementa…