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

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

1999-04-21

arxiv.org/abs/physics/9904039v1

Physics

Accelerator Physics

LaTeX2e, 3 pages, 1 figure, PAC99.cls, Proceedings PAC99

Scientific paper

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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