{"title":"卡洛吉罗-莫瑟-萨瑟兰系统","authors":"Martin Hallnäs","doi":"arxiv-2312.12932","DOIUrl":null,"url":null,"abstract":"We discuss integrable many-body systems in one dimension of\nCalogero-Moser-Sutherland type, both classical and quantum as well as\nnonrelativistic and relativistic. In particular, we consider fundamental\nproperties such as integrability, the existence of explicit solutions as well\nas action-angle and bispectral dualities that relate different such systems. We\nalso briefly discuss the early history of the subject and indicate connections\nwith other integrable systems.","PeriodicalId":501275,"journal":{"name":"arXiv - PHYS - Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Calogero-Moser-Sutherland systems\",\"authors\":\"Martin Hallnäs\",\"doi\":\"arxiv-2312.12932\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We discuss integrable many-body systems in one dimension of\\nCalogero-Moser-Sutherland type, both classical and quantum as well as\\nnonrelativistic and relativistic. In particular, we consider fundamental\\nproperties such as integrability, the existence of explicit solutions as well\\nas action-angle and bispectral dualities that relate different such systems. We\\nalso briefly discuss the early history of the subject and indicate connections\\nwith other integrable systems.\",\"PeriodicalId\":501275,\"journal\":{\"name\":\"arXiv - PHYS - Mathematical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2312.12932\",\"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 - PHYS - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2312.12932","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We discuss integrable many-body systems in one dimension of
Calogero-Moser-Sutherland type, both classical and quantum as well as
nonrelativistic and relativistic. In particular, we consider fundamental
properties such as integrability, the existence of explicit solutions as well
as action-angle and bispectral dualities that relate different such systems. We
also briefly discuss the early history of the subject and indicate connections
with other integrable systems.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
