{"title":"Integrability of the Inozemtsev spin chain","authors":"Oleg Chalykh","doi":"arxiv-2407.03276","DOIUrl":null,"url":null,"abstract":"We show that the Inozemtsev spin chain is integrable. The conserved\nquantities (commuting Hamiltonians) are constructed using elliptic Dunkl\noperators. We also suggest a generalisation.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"92 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Quantum Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.03276","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We show that the Inozemtsev spin chain is integrable. The conserved
quantities (commuting Hamiltonians) are constructed using elliptic Dunkl
operators. We also suggest a generalisation.
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