{"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}
引用次数: 0
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
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