Algebraic bethe ansatz for the XYZ Gaudin model

1996/01/31 by E. K. Sklyanin, T. Takebe, Takashi Takebe · 7 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th #math.QA #q-alg

paper · pdf · doi:10.1016/0375-9601(96)00448-3

published as Phys.Lett.A219:217-225,1996 · 11 pages, Latex file; minor corrections

arxiv created 1996/02/22 · openalex publication_date 1996/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The eigenvectors of the Hamiltionians of the XYZ Gaudin model are constructed by means of the algebraic Bethe Ansatz. The construction is based on the quasi-classical limit of the corresponding results for the inhomogeneous higher spin eight vertex model.

Citations

• Bethe ansatz for higher spin eight-vertex models
• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL
• Generalized XYZ Model Associated to Sklyanin Algebra^*

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