On the Equilibrium Configuration of the BC-type Ruijsenaars-Schneider System
arXiv:math-ph/0410008 · doi:10.2991/jnmp.2005.12.s1.53
Abstract
It is shown that the ground-state equilibrium configurations of the trigonometric BC-type Ruijsenaars-Schneider systems are given by the zeros of Askey-Wilson polynomials.
7 pages, LaTeX
References in corpus (5)
- The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
- Quantum vs Classical Integrability in Calogero-Moser Systems
- Equilibria of `Discrete' Integrable Systems and Deformations of Classical Orthogonal Polynomials
- Quantum vs Classical Integrability in Ruijsenaars-Schneider Systems
- Bethe Ansatz Equations of XXZ Model and q-Sturm-Liouville Problems
Cited by in corpus (9)
- Exactly solvable `discrete' quantum mechanics; shape invariance, Heisenberg solutions, annihilation-creation operators and coherent states
- Discrete Quantum Mechanics
- Equilibrium Positions, Shape Invariance and Askey-Wilson Polynomials
- Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials
- Properties of the zeros of the polynomials belonging to the Askey scheme
- Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials
- Perturbations around the zeros of classical orthogonal polynomials
- Finite-dimensional representations of difference operators, and the identification of remarkable matrices
- Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials