How to solve Yang-Baxter equation using the Taylor expansion of R-matrix

2001/12/01 by P. N. Bibikov, Bibikov, P. N. · 1 citation
Computer Science · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Matrix Theory and Algorithms #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0112001

4 pages

arxiv created 2001/12/01 · openalex publication_date 2001/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new method for solving the Yang-Baxter equation is presented. It is based on the Taylor expansion of R-matrix which is developed up to the power lambda⁶. Using this method the R-matrix for integrable spin ladder is calculated.

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• Integrability from a Single Conservation Law in Quantum Spin Chains

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