{"title":"Nonlinear accelerator problems via wavelets. IV. Spin-orbital motion","authors":"A. Fedorova, M. Zeitlin","doi":"10.1109/PAC.1999.792978","DOIUrl":null,"url":null,"abstract":"In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider a model for spin-orbital motion: orbital dynamics and Thomas-BMT equations for classical spin vector. We represent the solution of this dynamical system in framework of biorthogonal wavelets via the variational approach. We consider a different variational approach, which is applied to each scale.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1999-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PAC.1999.792978","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider a model for spin-orbital motion: orbital dynamics and Thomas-BMT equations for classical spin vector. We represent the solution of this dynamical system in framework of biorthogonal wavelets via the variational approach. We consider a different variational approach, which is applied to each scale.
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