{"title":"均匀电磁场中的带电粒子。群论分析","authors":"L.C. Chen , T. Janssen","doi":"10.1016/0031-8914(74)90262-6","DOIUrl":null,"url":null,"abstract":"<div><p>A new covariant derivation is given for the relativistic symmetry group of a uniform electromagnetic field. The symmetry group of the equations of motion of a charged (classical, Klein-Gordon or Dirac) particle in such a field and its irreducible representations are determined. Using the representations the solutions of the equations of motion are discussed. Exact solutions can be given for the motion of a charged particle in an arbitrary uniform field.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"77 2","pages":"Pages 290-310"},"PeriodicalIF":0.0000,"publicationDate":"1974-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90262-6","citationCount":"5","resultStr":"{\"title\":\"A charged particle in a uniform electromagnetic field a group-theoretical analysis\",\"authors\":\"L.C. Chen , T. Janssen\",\"doi\":\"10.1016/0031-8914(74)90262-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A new covariant derivation is given for the relativistic symmetry group of a uniform electromagnetic field. The symmetry group of the equations of motion of a charged (classical, Klein-Gordon or Dirac) particle in such a field and its irreducible representations are determined. Using the representations the solutions of the equations of motion are discussed. Exact solutions can be given for the motion of a charged particle in an arbitrary uniform field.</p></div>\",\"PeriodicalId\":55605,\"journal\":{\"name\":\"Physica\",\"volume\":\"77 2\",\"pages\":\"Pages 290-310\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1974-10-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0031-8914(74)90262-6\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0031891474902626\",\"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/0031891474902626","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A charged particle in a uniform electromagnetic field a group-theoretical analysis
A new covariant derivation is given for the relativistic symmetry group of a uniform electromagnetic field. The symmetry group of the equations of motion of a charged (classical, Klein-Gordon or Dirac) particle in such a field and its irreducible representations are determined. Using the representations the solutions of the equations of motion are discussed. Exact solutions can be given for the motion of a charged particle in an arbitrary uniform field.
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