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Nonlinear Motion in Electromagnetic Fields via Multiscale Expansions

2002/06/22 by Antonina N. Fedorova, Michael G. Zeitlin
Physics and Astronomy · #physics.acc-ph #physics.comp-ph #physics.plasm-ph

paper · pdf

published as PAMM, Volume 1, Issue 1, pp. 432-433, Wiley-VCH, 2002 · 3 pages, presented at GAMM Meeting, February, 2001, ETH, Zurich; changed margins for printing

arxiv created 2002/06/22 · arxiv updated 2009/12/01

Abstract

The consideration of dynamics of relativistic beams/particles is based on variational approach to rational (in dynamical variables) approximation for equations of motions. It allows to control contribution from each scale of underlying multiscales and represent solutions via exact nonlinear eigenmodes expansions. Our approach is based on methods provided possibility to work with well-localized bases in phase space and good convergence properties of the corresponding expansions.

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