Separation of variables in the BC-type Gaudin magnet

DOI10.1088/0305-4470/28/14/023zbMath0860.58022arXivsolv-int/9506001OpenAlexW2015498931MaRDI QIDQ4716617

Kazuhiro Hikami

Publication date: 26 November 1996

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/9506001

zbMATH Keywords

separation of variablesGaudin magnet

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Statistical mechanics of magnetic materials (82D40)

Related Items (10)

Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model ⋮ Algebraic Bethe ansatz for the XXZ Gaudin models with generic boundary ⋮ A type of loop algebra and the associated loop algebras ⋮ Integrable Rosochatius deformations of the restricted soliton flows ⋮ Classical \(N\)-reflection equation and Gaudin models ⋮ FRT presentation of the Onsager algebras ⋮ Quadratic operator relations and Bethe equations for spin-1/2 Richardson–Gaudin models ⋮ Classical \(r\)-matrix structures of integrable mappings related to the Volterra lattice ⋮ Quasi-classical descendants of disordered vertex models with boundaries ⋮ Relationships among three kinds of finite dimensional integrable Hamiltonian systems

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