{"title":"DKP方程与Klein-Gordon方程之间的显式关系","authors":"Djahida Bouchefra, B. Boudjedaa","doi":"10.1063/1.5136204","DOIUrl":null,"url":null,"abstract":"DKP equation describes spin-0 and spin-1 relativistic particles. Many researchers have been interested in the DKP equation. In this work, we give an explicit relation between the DKP and the KG equations for both the spin-0 particle in (1+3) dimensions and spin-1 particle in (1+1) dimensions. From the DKP equation in its explicit form, we get another system generated by the KG equation, which gives us the equivalence between the DKP equation and the KG equation. Using this equivalence, the Volkov-like solution of the DKP equation for the spin-0 particle in the field of an electromagnetic plane wave, is calculated.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"140 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The explicit relation between the DKP equation and the Klein-Gordon equation\",\"authors\":\"Djahida Bouchefra, B. Boudjedaa\",\"doi\":\"10.1063/1.5136204\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"DKP equation describes spin-0 and spin-1 relativistic particles. Many researchers have been interested in the DKP equation. In this work, we give an explicit relation between the DKP and the KG equations for both the spin-0 particle in (1+3) dimensions and spin-1 particle in (1+1) dimensions. From the DKP equation in its explicit form, we get another system generated by the KG equation, which gives us the equivalence between the DKP equation and the KG equation. Using this equivalence, the Volkov-like solution of the DKP equation for the spin-0 particle in the field of an electromagnetic plane wave, is calculated.\",\"PeriodicalId\":175596,\"journal\":{\"name\":\"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)\",\"volume\":\"140 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/1.5136204\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5136204","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The explicit relation between the DKP equation and the Klein-Gordon equation
DKP equation describes spin-0 and spin-1 relativistic particles. Many researchers have been interested in the DKP equation. In this work, we give an explicit relation between the DKP and the KG equations for both the spin-0 particle in (1+3) dimensions and spin-1 particle in (1+1) dimensions. From the DKP equation in its explicit form, we get another system generated by the KG equation, which gives us the equivalence between the DKP equation and the KG equation. Using this equivalence, the Volkov-like solution of the DKP equation for the spin-0 particle in the field of an electromagnetic plane wave, is calculated.
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