Conservation laws of the Haldane-Shastry type spin chains

2008/11/27 by Junpeng Cao, Jun Cao, Peng He +6
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #Nonlinear Waves and Solitons #Numerical methods for differential equations #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.0811.4476

3 pages, No figures

arxiv created 2008/11/27 · openalex publication_date 2008/11/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A systematic method to construct the complete set of conserved quantities of the Haldane-Shastry type spin chains is proposed. The hidden relationship between the Yang-Baxter relation and the conservation laws of the long-range interacting integrable models is exposed explicitly. An integrable anisotropic Haldane-Shastry model is also constructed.

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