Classical \(r\)-matrix structure for the generalized Gaudin magnet

DOI10.1016/0375-9601(96)00337-4zbMath0972.82530OpenAlexW1968886600MaRDI QIDQ1967903

Kazuhiro Hikami

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00337-4

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exactly solvable models; Bethe ansatz (82B23) Statistical mechanics of magnetic materials (82D40)

Cites Work

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• Equivalence of two graphical calculi
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• Boundary conditions for integrable quantum systems
• Off-shell Bethe ansatz equations and N-point correlators in the SU(2) WZNW theory
• Linear r-matrix algebra for classical separable systems