Algebraic Approach in Unifying Quantum Integrable Models

DOI10.1103/PhysRevLett.82.3936zbMath0958.81021arXivhep-th/9810220MaRDI QIDQ4492644

Anjan Kundu

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9810220

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Model quantum field theories (81T10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (9)

Quantum integrable multiatom matter-radiation models with and without the rotating-wave approximation ⋮ Exact Bethe ansatz solution of a nonlinear quantum field model in quasi-two dimensions linked to the Landau-Lifshitz equation ⋮ Changing Solitons in Classical & Quantum Integrable Defect and Variable Mass Sine-Gordon Model ⋮ Construction of Variable Mass Sine-Gordon and Other Novel Inhomogeneous Quantum Integrable Models ⋮ Quantum and classical integrable sine-Gordon model with defect ⋮ Integrable defects in affine Toda field theory and infinite-dimensional representations of quantum groups ⋮ Construction and exact solution of a nonlinear quantum field model in quasi-higher dimension ⋮ Ultralocal solutions for quantum integrable non-ultralocal models ⋮ Generation of new classes of integrable quantum and statistical models

Cites Work

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• 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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