{"title":"狄拉克哈密顿量上的一类变换","authors":"A.R. Tekumalla","doi":"10.1016/0031-8914(74)90321-8","DOIUrl":null,"url":null,"abstract":"<div><p>We give a new generalization of the Foldy-Wouthuysen transformation and show a simple and elegant method of obtaining explicit forms of the Foldy-Wouthuysen transformation and its generalizations by using the <em>U</em>-matrix method of Ramakrishnan. We also show how this method can be used to obtain the transformation which connects the Dirac equation to the non-covariant form of the Dirac equation recently discussed in the literature.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 1","pages":"Pages 191-197"},"PeriodicalIF":0.0000,"publicationDate":"1974-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90321-8","citationCount":"0","resultStr":"{\"title\":\"A class of transformations on the Dirac Hamiltonian\",\"authors\":\"A.R. Tekumalla\",\"doi\":\"10.1016/0031-8914(74)90321-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We give a new generalization of the Foldy-Wouthuysen transformation and show a simple and elegant method of obtaining explicit forms of the Foldy-Wouthuysen transformation and its generalizations by using the <em>U</em>-matrix method of Ramakrishnan. We also show how this method can be used to obtain the transformation which connects the Dirac equation to the non-covariant form of the Dirac equation recently discussed in the literature.</p></div>\",\"PeriodicalId\":55605,\"journal\":{\"name\":\"Physica\",\"volume\":\"78 1\",\"pages\":\"Pages 191-197\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1974-11-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0031-8914(74)90321-8\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0031891474903218\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0031891474903218","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A class of transformations on the Dirac Hamiltonian
We give a new generalization of the Foldy-Wouthuysen transformation and show a simple and elegant method of obtaining explicit forms of the Foldy-Wouthuysen transformation and its generalizations by using the U-matrix method of Ramakrishnan. We also show how this method can be used to obtain the transformation which connects the Dirac equation to the non-covariant form of the Dirac equation recently discussed in the literature.