{"title":"笹木-爱因斯坦空间 Yp, q 上标量场的等单旋转方法","authors":"V. Avramov, R. Rashkov, T. Vetsov","doi":"10.1134/S1547477123060043","DOIUrl":null,"url":null,"abstract":"<p>In this study, we investigate the Schrödinger equation equation for scalar particles on the Y<sup><i>p, q</i></sup>. An equation of general Heun type is obtained for one of the coordinates and its associated Painlevé VI equation is derived. Consequently, we take some particular limits of the Y<sup><i>p,q</i></sup> geometry, which result in a coalescence of singularities of the equation of motion. Finally, the associated isomondromic flows are examined.</p>","PeriodicalId":730,"journal":{"name":"Physics of Particles and Nuclei Letters","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Isomonodromic Approach to Scalar Fields on Sasaki–Einstein Spaces Yp, q\",\"authors\":\"V. Avramov, R. Rashkov, T. Vetsov\",\"doi\":\"10.1134/S1547477123060043\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this study, we investigate the Schrödinger equation equation for scalar particles on the Y<sup><i>p, q</i></sup>. An equation of general Heun type is obtained for one of the coordinates and its associated Painlevé VI equation is derived. Consequently, we take some particular limits of the Y<sup><i>p,q</i></sup> geometry, which result in a coalescence of singularities of the equation of motion. Finally, the associated isomondromic flows are examined.</p>\",\"PeriodicalId\":730,\"journal\":{\"name\":\"Physics of Particles and Nuclei Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-12-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics of Particles and Nuclei Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1547477123060043\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, PARTICLES & FIELDS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of Particles and Nuclei Letters","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1547477123060043","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
An Isomonodromic Approach to Scalar Fields on Sasaki–Einstein Spaces Yp, q
In this study, we investigate the Schrödinger equation equation for scalar particles on the Yp, q. An equation of general Heun type is obtained for one of the coordinates and its associated Painlevé VI equation is derived. Consequently, we take some particular limits of the Yp,q geometry, which result in a coalescence of singularities of the equation of motion. Finally, the associated isomondromic flows are examined.
期刊介绍：
The journal Physics of Particles and Nuclei Letters, brief name Particles and Nuclei Letters, publishes the articles with results of the original theoretical, experimental, scientific-technical, methodological and applied research. Subject matter of articles covers: theoretical physics, elementary particle physics, relativistic nuclear physics, nuclear physics and related problems in other branches of physics, neutron physics, condensed matter physics, physics and engineering at low temperatures, physics and engineering of accelerators, physical experimental instruments and methods, physical computation experiments, applied research in these branches of physics and radiology, ecology and nuclear medicine.
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