1996/10/07 by A. Zabrodin · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Bilinear interpolation #Discretization #Eigenvalues and eigenvectors #Integrable system #Nonlinear Waves and Solitons #Quantum #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.1142/s0217979297001520
26 pages, LaTeX
arxiv created 1996/10/07 · openalex publication_date 1997/10/30 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The recent progress in revealing classical integrable structures in quantum models solved by Bethe ansatz is reviewed. Fusion relations for eigenvalues of quantum transfer matrices can be written in the form of classical Hirota's bilinear difference equation. This equation is also known as the completely discretized version of the 2D Toda lattice. We explain how one obtains the specific quantum results by solving the classical equation. The auxiliary linear problem for the Hirota equation is shown to generalize Baxter's T-Q relation.