Hirota equation and Bethe ansatz

DOI10.1007/BF02557123zbMath0988.82017MaRDI QIDQ1567921

Anton V. Zabrodin

Publication date: 19 July 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Bethe ansatzfusion rulesquantum inverse scattering methodsoliton theoryHirota equationquantum integrable modelsHirota bilinear difference equationquantum transfer matrices

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Inverse scattering problems in quantum theory (81U40) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

On three dimensional quiver gauge theories and integrability, Supersymmetric quantum spin chains and classical integrable systems, The master \(T\)-operator for the Gaudin model and the KP hierarchy, An inhomogeneous Lax representation for the Hirota equation, Discrete Hirota dynamics for AdS/CFT, Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics, Hilbert space theory for reflectionless relativistic potentials, Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz, Classical tau-function for quantum spin chains, Quantum Spin Chains and Integrable Many-Body Systems of Classical Mechanics, Classical-quantum correspondence and functional relations for Painlevé equations, Finite size spectrum of \(\operatorname{SU}(N)\) principal chiral field from discrete Hirota dynamics

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