137 citations · 896 across the 25 of their papers we have counts for
25 papers
Exceptional Askey-Wilson type polynomials through Darboux-Crum transformations
Satoru Odake, Ryu Sasaki
An alternative derivation is presented of the infinitely many exceptional Wilson and Askey-Wilson polynomials, which were introduced by the present authors in 2009. Darboux-Crum tr…
Central elements of the elliptic monodromy matrix algebra at roots of unity
W. -L. Yang, A. Belavin, R. Sasaki
The central elements of the algebra of monodromy matrices associated with the R-matrix are studied. When the crossing parameter takes a special rational value $w…
Affine Toda-Sutherland Systems
Avinash Khare, I. Loris, R. Sasaki
A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sutherland system, is introduced for any affine root system. Though it is not compl…
Exact solution of Belavin model with open boundary condition
W. -L. Yang, R. Sasaki
Belavin model with open boundary condition is studied. The double-row transfer matrices of the model are diagonalized by algebraic Bethe ansatz method in terms of the intertw…
Polynomials Associated with Equilibrium Positions in Calogero-Moser Systems
S. Odake, R. Sasaki
In a previous paper (Corrigan-Sasaki), many remarkable properties of classical Calogero and Sutherland systems at equilibrium are reported. For example, the minimum energies, frequ…
Quantum vs Classical Integrability in Calogero-Moser Systems
E. Corrigan, R. Sasaki
Calogero-Moser systems are classical and quantum integrable multi-particle dynamics defined for any root system . The {\em quantum} Calogero systems having potential and…