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Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020)最新文献

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Superintegrable systems related to truncated Calogero model 截断Calogero模型的超可积系统
Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020) Pub Date : 1900-01-01 DOI: 10.22323/1.394.0006
S. Vardanyan, T. Hakobyan
{"title":"Superintegrable systems related to truncated Calogero model","authors":"S. Vardanyan, T. Hakobyan","doi":"10.22323/1.394.0006","DOIUrl":"https://doi.org/10.22323/1.394.0006","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":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129254439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bogomolny equations from the Pseudoanalytic Functions Viewpoint 伪解析函数视点下的Bogomolny方程
Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020) Pub Date : 1900-01-01 DOI: 10.22323/1.394.0015
T. Supatashvili
{"title":"Bogomolny equations from the Pseudoanalytic Functions Viewpoint","authors":"T. Supatashvili","doi":"10.22323/1.394.0015","DOIUrl":"https://doi.org/10.22323/1.394.0015","url":null,"abstract":"In the following paper we are going to study a special kind of solitons, called vortices. We will define the topological number for them, called the vortex number. Switching to complex variables and using a different approach from the one used by Jaffe and Taubes in the famous monograph \"Vortices and monopoles\", 1980, in particular, using the theorems known in pseudoanalytic function theory, we construct the vortex solutions of the field equations for our problem and write out the vortex numbers for them that will be characterized by the zeroes of each possible solution.","PeriodicalId":127771,"journal":{"name":"Proceedings of RDP online workshop \"Recent Advances in Mathematical Physics\" — PoS(Regio2020)","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132350218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lectures on Integrable Systems 关于可积系统的讲座
Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020) Pub Date : 1900-01-01 DOI: 10.22323/1.394.0001
G. Arutyunov
{"title":"Lectures on Integrable Systems","authors":"G. Arutyunov","doi":"10.22323/1.394.0001","DOIUrl":"https://doi.org/10.22323/1.394.0001","url":null,"abstract":"","PeriodicalId":127771,"journal":{"name":"Proceedings of RDP online workshop \"Recent Advances in Mathematical Physics\" — PoS(Regio2020)","volume":"163 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116100086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Integrable models with inverse square potential inmaximally symmetric Kähler manifolds 具有逆平方势极大对称Kähler流形的可积模型
Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020) Pub Date : 1900-01-01 DOI: 10.22323/1.394.0020
H. Shmavonyan
{"title":"Integrable models with inverse square potential inmaximally symmetric Kähler manifolds","authors":"H. Shmavonyan","doi":"10.22323/1.394.0020","DOIUrl":"https://doi.org/10.22323/1.394.0020","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":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126505676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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