{"title":"伊诺泽姆采夫自旋链的积分性","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":"{\"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}","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}
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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