1.6k citations · 3.2k across the 120 of their papers we have counts for
134 papers
Morse momentum wavefunctions and rational functions
Luc Vinet, Alexei Zhedanov
We revisit the bound states of the Morse potential in the momentum representation. After the ground-state factor is extracted, the remaining factors are finite rational functions o…
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…
The 2D Smorodinsky--Winternitz II system and the Laguerre--Heun algebra
Vutha Vichea Chea, Luc Vinet, Alexei Zhedanov
We identify the quadratic symmetry algebra of the two-dimensional Smorodinsky--Winternitz II system with a Laguerre-type confluent Heun algebra. The system is separable in Cartesia…
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…
Meta Algebras and Special Functions: the Racah Case
Nicolas Crampé, Quentin Labriet, Lucia Morey +3
Finite families of biorthogonal rational functions and orthogonal polynomials of Racah-type are studied within a unified algebraic framework based on the meta Racah algebra and its…
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…