264 citations · 515 across the 7 of their papers we have counts for
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hep-th2004
Equilibrium Positions, Shape Invariance and Askey-Wilson Polynomials
S. Odake, R. Sasaki
We show that the equilibrium positions of the Ruijsenaars-Schneider-van Diejen systems with the trigonometric potential are given by the zeros of the Askey-Wilson polynomials with…
hep-th2004
Polynomials Associated with Equilibria of Affine Toda-Sutherland Systems
S. Odake, R. Sasaki
An affine Toda-Sutherland system is a quasi-exactly solvable multi-particle dynamics based on an affine simple root system. It is a `cross' between two well-known integrable multi-…
hep-th2004
Equilibria of `Discrete' Integrable Systems and Deformations of Classical Orthogonal Polynomials
S. Odake, R. Sasaki
The Ruijsenaars-Schneider systems are `discrete' version of the Calogero-Moser (C-M) systems in the sense that the momentum operator p appears in the Hamiltonians as a polynomial i…