On the quantum inverse scattering problem.
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Publication:5934807
DOI10.1016/S0550-3213(00)00097-3zbMATH Open1037.82516arXivhep-th/9911030OpenAlexW2086424859MaRDI QIDQ5934807
Author name not available (Why is that?)
Publication date: 14 May 2001
Published in: (Search for Journal in Brave)
Abstract: A general method for solving the so-called quantum inverse scattering problem (namely the reconstruction of local quantum (field) operators in term of the quantum monodromy matrix satisfying a Yang-Baxter quadratic algebra governed by an R-matrix) for a large class of lattice quantum integrable models is given. The principal requirement being the initial condition (R(0) = P, the permutation operator) for the quantum R-matrix solving the Yang-Baxter equation, it applies not only to most known integrable fundamental lattice models (such as Heisenberg spin chains) but also to lattice models with arbitrary number of impurities and to the so-called fused lattice models (including integrable higher spin generalizations of Heisenberg chains). Our method is then applied to several important examples like the sl(n) XXZ model, the XYZ spin-1/2 chain and also to the spin-s Heisenberg chains.
Full work available at URL: https://arxiv.org/abs/hep-th/9911030
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