{"title":"Superintegrable systems related to truncated Calogero model","authors":"S. Vardanyan, T. Hakobyan","doi":"10.22323/1.394.0006","DOIUrl":null,"url":null,"abstract":"A simple 𝑈 ( 1 ) gauge transformation, which is equivalent to the inclusion of the Aharonov-Bohm type potential, is introduced and applied to superintegrable systems in classical and quantum mechanics. It produces an inverse-square potential with two- and three-particle interactions which is identical to the potential of the recently studied truncated Calogero model.","PeriodicalId":127771,"journal":{"name":"Proceedings of RDP online workshop \"Recent Advances in Mathematical Physics\" — PoS(Regio2020)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of RDP online workshop \"Recent Advances in Mathematical Physics\" — PoS(Regio2020)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22323/1.394.0006","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
A simple 𝑈 ( 1 ) gauge transformation, which is equivalent to the inclusion of the Aharonov-Bohm type potential, is introduced and applied to superintegrable systems in classical and quantum mechanics. It produces an inverse-square potential with two- and three-particle interactions which is identical to the potential of the recently studied truncated Calogero model.