{"title":"On integrability of Klein-Gordon equations in electromagnetic fields invariant under subgroups of the Poincare group","authors":"A. A. Magazev, I. V. Shirokov","doi":"10.1007/s11182-024-03324-9","DOIUrl":null,"url":null,"abstract":"<div><p>The structure of the symmetry operator algebra of the Klein-Gordon equation in an external electromagnetic field is described in terms of cohomologies of the Poincare subalgebras. An application of the method of noncommutative integration to constructing exact solutions of the Klein-Gordon equation is discussed. A classification of inequivalent electromagnetic fields invariant under simply transitive subgroups of the Poincare group, admitting the noncommutative integration of the Klein-Gordon equation, is presented.</p></div>","PeriodicalId":770,"journal":{"name":"Russian Physics Journal","volume":"67 11","pages":"1878 - 1886"},"PeriodicalIF":0.4000,"publicationDate":"2025-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Physics Journal","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11182-024-03324-9","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The structure of the symmetry operator algebra of the Klein-Gordon equation in an external electromagnetic field is described in terms of cohomologies of the Poincare subalgebras. An application of the method of noncommutative integration to constructing exact solutions of the Klein-Gordon equation is discussed. A classification of inequivalent electromagnetic fields invariant under simply transitive subgroups of the Poincare group, admitting the noncommutative integration of the Klein-Gordon equation, is presented.
期刊介绍:
Russian Physics Journal covers the broad spectrum of specialized research in applied physics, with emphasis on work with practical applications in solid-state physics, optics, and magnetism. Particularly interesting results are reported in connection with: electroluminescence and crystal phospors; semiconductors; phase transformations in solids; superconductivity; properties of thin films; and magnetomechanical phenomena.