Algebraic construction of quantum integrable models including inhomogeneous models

DOI10.1016/S0034-4877(01)80016-1zbMath0986.37078arXivhep-th/9909042OpenAlexW3101270001MaRDI QIDQ5942377

Anjan Kundu

Publication date: 29 August 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9909042

zbMATH Keywords

ancestor modelexactly integrable quantum lattice inhomogeneous anisotropic modelfield modelsimpure spin chainsinhomogeneous Toda chainvariable mass sine-Gordon model

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Cites Work

• Connections of the Liouville model and \(XXZ\) spin chain
• CONSTRUCTION OF INTEGRABLE QUANTUM LATTICE MODELS THROUGH SKLYANIN-LIKE ALGEBRAS
• ALGEBRAIC ASPECTS OF THE BETHE ANSATZ
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Comment on the q-analogues of the harmonic oscillator
• On the integrability and singularity structure aspects of deformed nonlinear evolution equations of AKNS type
• The Hungry-Volterra Model – The Classical and Quantum Integrable Structures
• Reductions of self-dual Yang-Mills fields and classical systems
• A simple lattice version of the nonlinear Schrodinger equation and its deformation with an exact quantum solution
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