Polynomials associated with equilibria of affine Toda–Sutherland systems

DOI10.1088/0305-4470/37/47/009zbMATH Open1062.37055arXivhep-th/0407259OpenAlexW3098921619MaRDI QIDQ4659970

Ryu Sasaki, Satoru Odake

Publication date: 21 March 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: 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-particle dynamics, an affine Toda molecule and a Sutherland system. Polynomials describing the equilibrium positions of affine Toda-Sutherland systems are determined for all affine simple root systems.

Full work available at URL: https://arxiv.org/abs/hep-th/0407259

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (2)

Equations of motion for zeros of orthogonal polynomials related to the Toda lattices ⋮ Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone

Recommendations

• Toda equations and piecewise polynomiality for mixed double Hurwitz numbers 👍 👎
• Equations of motion for zeros of orthogonal polynomials related to the Toda lattices 👍 👎
• Toda equation and special polynomials associated with the Garnier system 👍 👎
• Polynomial systems from certain differential equations 👍 👎
• Orthogonal polynomials, Toda lattices and Painlevé equations 👍 👎
• Differential equations for \(p\), \(q\)-Touchard polynomials 👍 👎
• ON DIFFERENTIAL EQUATIONS ASSOCIATED WITH SYLVESTER POLYNOMIALS 👍 👎
• Painlevé Equations and Associated Polynomials 👍 👎
• Affine Toda–Sutherland systems 👍 👎
• Toda systems and hypergeometric equations 👍 👎

This page was built for publication: Polynomials associated with equilibria of affine Toda–Sutherland systems

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4659970)