dorsal/arxiv
View SchemaNonlinear Accelerator Problems via Wavelets: 1. Orbital Motion in Storage Rings
| Authors | Antonina N. Fedorova, Michael G. Zeitlin |
|---|---|
| Categories | |
| ArXiv ID | physics/9904039 |
| URL | https://arxiv.org/abs/physics/9904039 |
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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"abstract": "In this series of eight papers we present the applications of methods from\nwavelet analysis to polynomial approximations for a number of accelerator\nphysics problems. In this part, according to variational approach we obtain a\nrepresentation for orbital particle motion in storage rings as a\nmultiresolution (multiscales) expansion in the base of well-localized in phase\nspace wavelet basis. By means of this \"wavelet microscope\" technique we can\ntake into account contribution from each scale of resolution.",
"arxiv_id": "physics/9904039",
"authors": [
"Antonina N. Fedorova",
"Michael G. Zeitlin"
],
"categories": [
"physics.acc-ph",
"chao-dyn",
"math-ph",
"math.MP",
"nlin.CD",
"physics.comp-ph"
],
"title": "Nonlinear Accelerator Problems via Wavelets: 1. Orbital Motion in Storage Rings",
"url": "https://arxiv.org/abs/physics/9904039"
},
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