Universal Lax pairs for spin Calogero–Moser models and spin exchange models

DOI10.1088/0305-4470/34/37/314zbMath1025.81019arXivhep-th/0105164OpenAlexW3099711062MaRDI QIDQ2766260

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Publication date: 27 January 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/0105164

zbMATH Keywords

conserved quantitiesequilibrium pointrational potentialelliptic potentialhyperbolic potentialtrigonometric potential

Mathematics Subject Classification ID

Model quantum field theories (81T10) Statistical mechanics of superconductors (82D55) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (6)

Elliptic generalisation of integrable q-deformed anisotropic Haldane–Shastry long-range spin chain ⋮ Haldane-Shastry spin chains of \(BC_{N}\) type ⋮ The properties of the first equation of the Vlasov chain of equations ⋮ Hierarchies of spin models related to Calogero-Moser models ⋮ On R-matrix valued Lax pairs for Calogero–Moser models ⋮ Calogero-Moser model and \(R\)-matrix identities

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