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arXiv physics/9904039physics.acc-phchao-dynmath-phmath.MPnlin.CDphysics.comp-ph
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通过Wavelet的非线性加速器问题:1。储存环中的轨道运动

Nonlinear Accelerator Problems via Wavelets: 1. Orbital Motion in Storage Rings

Antonina N. Fedorova, Michael G. Zeitlin

摘要:

在这一系列的八篇论文中,我们提出了一些加速器物理问题的小波分析多项式逼近的方法的应用。在这一部分中,根据变分方法,我们在相空间小波基的良好局部化的基础上,获得了储存环中轨道粒子运动的多分辨率(多尺度)展开表示。通过这种“小波显微镜”技术,我们可以考虑到每个尺度的分辨率的贡献。

英文摘要:

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, according to variational approach we obtain a representation for orbital particle motion in storage rings as a multiresolution (multiscales) expansion in the base of well-localized in phase space wavelet basis. By means of this "wavelet microscope" technique we can take into account contribution from each scale of resolution.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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