Separation of variables in the open XXX chain

2008/03/31 by Holger Frahm, H. Frahm, Alexander Seel +3 · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #cond-mat.other #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/j.nuclphysb.2008.04.008

published as Nucl.Phys.B802:351-367,2008 · 19 pages, references added; to appear in Nucl. Phys. B

arxiv created 2008/04/14 · openalex publication_date 2008/04/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We apply the Sklyanin method of separation of variables to the reflection algebra underlying the open spin-1/2 XXX chain with non-diagonal boundary fields. The spectral problem can be formulated in terms of a TQ-equation which leads to the known Bethe equations for boundary parameters satisfying a constraint. For generic boundary parameters we study the asymptotic behaviour of the solutions of the TQ-equation.

Citations

• Boundary conditions for integrable quantum systems

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