Quantum integrability and quantum groups

DOI10.1016/0167-2789(95)00082-FzbMath0890.58027OpenAlexW1986838765MaRDI QIDQ1896508

Miki Wadati

Publication date: 29 August 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00082-f

zbMATH Keywords

long-range interactionsquantum groupsquantum integrable systemsquantum inverse scattering methodBethe ansatz methodYang-Baxter relation

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) Inverse scattering problems in quantum theory (81U40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Exactly solvable models; Bethe ansatz (82B23)

Related Items (1)

Singular solitons of generalized Camassa-Holm models

Cites Work

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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum integrable systems in one dimension
• EXACTLY SOLVABLE MODELS AND FINITE SIZE CORRECTIONS
• Yang-Baxter equation in long-range interacting systems
• The Quantum Calogero-Moser Model: Algebraic Structures
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• Integrable Systems with Long-Range Interactions,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Algebra, and Energy Spectrum
• Exactly Solvable Models and New Link Polynomials. I. N-State Vertex Models

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