{"title":"Integrable models with inverse square potential inmaximally symmetric Kähler manifolds","authors":"H. Shmavonyan","doi":"10.22323/1.394.0020","DOIUrl":null,"url":null,"abstract":"In this paper we consider complex version of models with inverse square potential, namely complex Smorodinsky-Winternitz and complex projective Rosochatius models. These models have interesting properties namely they have hidden symmetries. Due to the complex structure models allow to easily introduce interaction with a constant magnetic field. Also here we provide results for quantization of these models.","PeriodicalId":127771,"journal":{"name":"Proceedings of RDP online workshop \"Recent Advances in Mathematical Physics\" — PoS(Regio2020)","volume":"27 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/10.22323/1.394.0020","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
In this paper we consider complex version of models with inverse square potential, namely complex Smorodinsky-Winternitz and complex projective Rosochatius models. These models have interesting properties namely they have hidden symmetries. Due to the complex structure models allow to easily introduce interaction with a constant magnetic field. Also here we provide results for quantization of these models.