dorsal/arxiv
View SchemaOrbital Beam Dynamics in Multipole Fields via Multiscale Expansions
| Authors | Antonina N. Fedorova, Michael G. Zeitlin |
|---|---|
| Categories | |
| ArXiv ID | physics/0106010 |
| URL | https://arxiv.org/abs/physics/0106010 |
| Journal | Conf.Proc.C0106181:1790-1792,2001 |
Abstract
We present the applications of methods from nonlinear local harmonic analysis in variational framework to calculations of nonlinear motions in polynomial/rational approximations (up to any order) of arbitrary n-pole fields. Our approach is based on the methods provided possibility to work with dynamical beam/particle localization in phase space, which gives representions via exact nonlinear high-localized eigenmodes expansions and allows to control contribution to motion from each scale of underlying multiscale structure.
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"abstract": "We present the applications of methods from nonlinear local harmonic analysis\nin variational framework to calculations of nonlinear motions in\npolynomial/rational approximations (up to any order) of arbitrary n-pole\nfields. Our approach is based on the methods provided possibility to work with\ndynamical beam/particle localization in phase space, which gives representions\nvia exact nonlinear high-localized eigenmodes expansions and allows to control\ncontribution to motion from each scale of underlying multiscale structure.",
"arxiv_id": "physics/0106010",
"authors": [
"Antonina N. Fedorova",
"Michael G. Zeitlin"
],
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"physics.acc-ph",
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"math.MP",
"nlin.PS",
"physics.comp-ph",
"quant-ph"
],
"journal_ref": "Conf.Proc.C0106181:1790-1792,2001",
"title": "Orbital Beam Dynamics in Multipole Fields via Multiscale Expansions",
"url": "https://arxiv.org/abs/physics/0106010"
},
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