Introduction to the Algebraic Bethe Ansatz

DOI10.1007/978-3-030-53305-2_25zbMath1483.82003OpenAlexW3095317457MaRDI QIDQ5152786

Nikita A. Slavnov

Publication date: 27 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-53305-2_25

zbMATH Keywords

Hamiltonianalgebraic Bethe ansatz\(R\)-matrixquantum inverse scattering methodBethe equation

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) Eigenvalues, singular values, and eigenvectors (15A18) Inverse scattering problems in quantum theory (81U40) Exactly solvable models; Bethe ansatz (82B23)

Related Items (3)

Recurrence relations for off-shell Bethe vectors in trigonometric integrable models ⋮ Freidel-Maillet type presentations of \(U_q(sl_2)\) ⋮ Three-point functions in ABJM and Bethe ansatz

Cites Work

• Quantum inverse problem method. I
• Determinant representations for scalar products in the algebraic Bethe ansatz

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