{"title":"SU(1,1)旋量在洛伦兹变换研究中的应用","authors":"G. F. Torres del Castillo","doi":"10.31349/revmexfis.69.040701","DOIUrl":null,"url":null,"abstract":"We show that the orthochronous proper Lorentz transformations that preserve the condition z = 0 can be parametrized by (two-component) SU(1, 1) spinors in such a way that the Wigner angle associated with a pair of non-collinear boosts is given by one of the scalar products defined between these spinors","PeriodicalId":21538,"journal":{"name":"Revista Mexicana De Fisica","volume":" ","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2023-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application of the SU(1, 1) spinors in the study of the Lorentz transformations\",\"authors\":\"G. F. Torres del Castillo\",\"doi\":\"10.31349/revmexfis.69.040701\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the orthochronous proper Lorentz transformations that preserve the condition z = 0 can be parametrized by (two-component) SU(1, 1) spinors in such a way that the Wigner angle associated with a pair of non-collinear boosts is given by one of the scalar products defined between these spinors\",\"PeriodicalId\":21538,\"journal\":{\"name\":\"Revista Mexicana De Fisica\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Mexicana De Fisica\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.31349/revmexfis.69.040701\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Mexicana De Fisica","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.31349/revmexfis.69.040701","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Application of the SU(1, 1) spinors in the study of the Lorentz transformations
We show that the orthochronous proper Lorentz transformations that preserve the condition z = 0 can be parametrized by (two-component) SU(1, 1) spinors in such a way that the Wigner angle associated with a pair of non-collinear boosts is given by one of the scalar products defined between these spinors
期刊介绍:
Durante los últimos años, los responsables de la Revista Mexicana de Física, la Revista Mexicana de Física E y la Revista Mexicana de Física S, hemos realizado esfuerzos para fortalecer la presencia de estas publicaciones en nuestra página Web ( http://rmf.smf.mx).