{"title":"基于小波的非线性加速器问题。自旋轨道运动","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":"48 1","pages":"2906-2908 vol.4"},"PeriodicalIF":0.0000,"publicationDate":"1999-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"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\":\"48 1\",\"pages\":\"2906-2908 vol.4\"},\"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}","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}
Nonlinear accelerator problems via wavelets. IV. Spin-orbital motion
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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