4 citations · 5 across the 2 of their papers we have counts for
4 papers
Generalized Bochner theorem: characterization of the Askey-Wilson polynomials
Luc Vinet, Alexei Zhedanov
Assume that there is a set of monic polynomials satisfying the second-order difference equation $$ A(s) P_n(z(s+1)) + B(s) P_n(z(s)) + C(s) P_n(z(s-1)) = λ_n P_n(z(s)), n=…
Additional Constants of Motion for a Discretization of the Calogero--Moser Model
Hideaki Ujino, Luc Vinet, Tetsu Yajima +1
The maximal super-integrability of a discretization of the Calogero--Moser model introduced by Nijhoff and Pang is presented. An explicit formula for the additional constants of mo…
A Super-Integrable Discretization of the Calogero Model
Hideaki Ujino, Luc Vinet, Haruo Yoshida
A time-discretization that preserves the super-integrability of the Calogero model is obtained by application of the integrable time-discretization of the harmonic oscillator to th…
Supersymmetry in the Non-Commutative Plane
Luc Lapointe, Hideaki Ujino, Luc Vinet
The supersymmetric extension of a model introduced by Lukierski, Stichel and Zakrewski in the non-commutative plane is studied. The Noether charges associated to the symmetries are…