{"title":"Noether symmetries of test charges in the magnetic monopole field","authors":"César S. López-Monsalvo, Alberto Rubio-Ponce","doi":"10.1007/s13324-024-01005-x","DOIUrl":null,"url":null,"abstract":"<div><p>We consider the motion of charged test particles in the presence of a Dirac magnetic monopole. We use an extension of Noether’s theorem for systems with magnetic forces and integrate explicitly the corresponding equations of motion.\n</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2025-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-024-01005-x.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s13324-024-01005-x","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We consider the motion of charged test particles in the presence of a Dirac magnetic monopole. We use an extension of Noether’s theorem for systems with magnetic forces and integrate explicitly the corresponding equations of motion.
期刊介绍:
Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.