基于小波的非线性加速器问题。自旋轨道运动

A. Fedorova, M. Zeitlin
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引用次数: 1

摘要

在这一系列的八篇论文中,我们介绍了从小波分析到多项式近似的方法在许多加速器物理问题中的应用。在这一部分,我们考虑自旋轨道运动的一个模型:轨道动力学和经典自旋矢量的Thomas-BMT方程。我们用变分方法在双正交小波框架中表示了该动力系统的解。我们考虑了一种不同的变分方法,它适用于每个尺度。
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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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