Nonlinear Accelerator Problems via Wavelets: 1. Orbital Motion in Storage Rings
Accelerator Physics
2007-05-23 v1 chao-dyn
Mathematical Physics
math.MP
Chaotic Dynamics
Computational Physics
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.
Cite
@article{arxiv.physics/9904039,
title = {Nonlinear Accelerator Problems via Wavelets: 1. Orbital Motion in Storage Rings},
author = {Antonina N. Fedorova and Michael G. Zeitlin},
journal= {arXiv preprint arXiv:physics/9904039},
year = {2007}
}
Comments
LaTeX2e, 3 pages, 1 figure, PAC99.cls, Proceedings PAC99