Separation of variables for the -type periodic Toda lattice

DOI10.1088/0305-4470/30/6/033zbMath0935.37038arXivsolv-int/9701009OpenAlexW1632857597MaRDI QIDQ4248468

Vadim B. Kuznetsov

Publication date: 9 May 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9701009

zbMATH Keywords

integrable systemsBaker-Akhiezer functionToda latticesperiodic Toda lattice

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (7)

A class of completely integrable quantum systems associated with classical root systems ⋮ On Bäcklund transformation of \(D_n\) type Toda lattice ⋮ The Poisson bracket compatible with the classical reflection equation algebra ⋮ Generic hyperelliptic Prym varieties in a generalized Hénon-Heiles system ⋮ Darboux-Nijenhuis variables for open generalized Toda chains ⋮ Bihamiltonian Geometry and Separation of Variables for Toda Lattices ⋮ Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions

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