{"title":"Normalization and reduction of the Stark Hamiltonian","authors":"R. Cushman","doi":"10.3934/cam.2023022","DOIUrl":null,"url":null,"abstract":"We detail a calculation of the second order normal form of the Stark effect Hamiltonian after regularization, using the Kustaanheimo-Stiefel mapping. After reduction, we obtain an integrable two degree of freedom system on $ S^2_h \\times S^2_h $, which we reduce again to obtain a one degree of freedom Hamiltonian system.","PeriodicalId":233941,"journal":{"name":"Communications in Analysis and Mechanics","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Analysis and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/cam.2023022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We detail a calculation of the second order normal form of the Stark effect Hamiltonian after regularization, using the Kustaanheimo-Stiefel mapping. After reduction, we obtain an integrable two degree of freedom system on $ S^2_h \times S^2_h $, which we reduce again to obtain a one degree of freedom Hamiltonian system.
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