Bethe ansatz solution for quantum spin-1 chains with boundary terms

DOI10.1016/S0550-3213(02)00027-5zbMath1049.82008arXivnlin/0110048MaRDI QIDQ5957658

E. C. Fireman, Wagner Utiel, A. Lima-Santos

Publication date: 10 March 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0110048

zbMATH Keywords

integrable open spin chain Hamiltoniansreflection matricesthree-state vertex models

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• Factorizing particles on a half-line and root systems
• Quantum version of the method of inverse scattering problem
• Yang-Baxter equation and representation theory. I
• Bethe ansatz for the Izergin-Korepin model
• Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
• Reflection \(K\)-matrices for \(19\)-vertex models.
• The exact solution and the finite-size behaviour of the Osp\((1| 2)\)-invariant spin chain
• Integrable open spin chains with nonsymmetric R-matrices
• INTEGRABILITY OF OPEN SPIN CHAINS WITH QUANTUM ALGEBRA SYMMETRY
• Nonstandard coproducts and the Izergin-Korepin open spin chain
• Boundary conditions for integrable quantum systems
• Integrable boundary impurities in the \(t\)-\(J\) model with different gradings
• Integrable quantum field theories with OSP\((m/2n)\) symmetries