Commuting difference operators with elliptic coefficients from Baxter's vacuum vectors

1999/12/31 by A. Zabrodin · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th #math.QA #msc:17B37 #msc:81R12 #nlin.SI #solv-int

paper · pdf · doi:10.1088/0305-4470/33/20/308

published as J.Phys.A33:3825,2000 · 31 pages, LaTeX, references added

arxiv created 2000/01/12 · openalex publication_date 2000/05/11 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

For quantum integrable models with elliptic R -matrix, we construct the Baxter Q -operator in infinite-dimensional representations of the algebra of observables.

Citations

• On the spectral curve of the difference Lamé operator
• Bethe ansatz for higher spin eight-vertex models
• Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. III. Eigenvectors of the transfer matrix and hamiltonian
• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL

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