264 citations · 553 across the 12 of their papers we have counts for
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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…
elliptic Gaudin model with open boundaries
W. -L. Yang, R. Sasaki, Y. -Z. Zhang
The elliptic Gaudin model with integrable boundaries specified by generic non-diagonal K-matrices with free boundary parameters is studied. The commuting families of Ga…
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-…
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…