{"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}
引用次数: 0
Abstract
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.
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