The non-dynamicalr-matrices of the degenerate Calogero-Moser models

DOI10.1088/0305-4470/33/43/306zbMath1031.81697arXivmath-ph/0005021OpenAlexW3099879231MaRDI QIDQ2707802

László Fehér, Béla Gábor Pusztai

Publication date: 4 April 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0005021

zbMATH Keywords

classical Yang-Baxter equationdegenerate Calogero-Moser modelsCremmer-Gervais classical \(r\)-matrixFrobenius subalgebranon-dynamical \(r\)-matricesstandard Lax representation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (4)

From dynamical to numerical \(R\)-matrices: a case study for the Calogero models ⋮ Dynamical R-matrices for Calogero models ⋮ On factorized Lax pairs for classical many-body integrable systems ⋮ On the r-matrix structure of the hyperbolic BC n Sutherland model

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