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

Antonina N. Fedorova·Michael G. Zeitlin
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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, 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.

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Antonina N. Fedorova, Michael G. Zeitlin. 1999-04-21. Nonlinear Accelerator Problems via Wavelets: 1. Orbital Motion in Storage Rings. https://arxiv.org/abs/physics/9904039

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