{"title":"汉密尔顿-雅可比方程","authors":"G. Kotkin, V. Serbo","doi":"10.1093/oso/9780198853787.003.0025","DOIUrl":null,"url":null,"abstract":"This chapter discusses the motion of particles which are scattered by and fall towards the center of the dipol, the motion of a particle in the Coulomb and the constant electric fields, and a particle inside a smooth elastic ellipsoid. The chapter also addresses the trajectory of a particle moving in the field of two Coulomb centres and a beam of electrons inside a short magnetic lens.","PeriodicalId":201389,"journal":{"name":"Exploring Classical Mechanics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Hamilton–Jacobi equation\",\"authors\":\"G. Kotkin, V. Serbo\",\"doi\":\"10.1093/oso/9780198853787.003.0025\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This chapter discusses the motion of particles which are scattered by and fall towards the center of the dipol, the motion of a particle in the Coulomb and the constant electric fields, and a particle inside a smooth elastic ellipsoid. The chapter also addresses the trajectory of a particle moving in the field of two Coulomb centres and a beam of electrons inside a short magnetic lens.\",\"PeriodicalId\":201389,\"journal\":{\"name\":\"Exploring Classical Mechanics\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-08-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Exploring Classical Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/oso/9780198853787.003.0025\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Exploring Classical Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/oso/9780198853787.003.0025","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This chapter discusses the motion of particles which are scattered by and fall towards the center of the dipol, the motion of a particle in the Coulomb and the constant electric fields, and a particle inside a smooth elastic ellipsoid. The chapter also addresses the trajectory of a particle moving in the field of two Coulomb centres and a beam of electrons inside a short magnetic lens.
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