1999/10/30 by Frank Göhmann, F. Göhmann, V. E. Korepin · 116 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Chemistry #Eigenvalues and eigenvectors #Field (mathematics) #Geometry #Inverse #Inverse problem #Inverse scattering problem #Inverse scattering transform #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Monodromy #Monodromy matrix #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum #Quantum inverse scattering method #Quantum many-body systems #Quantum mechanics #S-matrix #Scattering #Spin (aerodynamics) #Supersymmetry #cond-mat #hep-th #math-ph #math.MP #math.QA #nlin.SI #solv-int
paper · pdf · doi:10.1088/0305-4470/33/6/308
published in Journal of Physics A Mathematical and General 33(6), 1199-1220 (Institute of Physics) · 37 pages, AMS-Latex, AMS-Fonts
arxiv created 1999/10/30 · openalex publication_date 2000/02/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We derive a formula that expresses the local spin and field operators of fundamental graded models in terms of the elements of the monodromy matrix. This formula is a quantum analogue of the classical inverse scattering transform. It applies to fundamental spin chains, such as the XYZ chain, and to a number of important exactly solvable models of strongly correlated electrons, such as the supersymmetric t - J model or the EKS model.