DocumentCode
1514734
Title
Evaluation of the Lorentz group Lie algebra map using the Baker-Cambell-Hausdorff formula
Author
Kawaguchi, H.
Author_Institution
Div. of Syst. & Inf. Eng., Hokkaido Univ., Sapporo, Japan
Volume
35
Issue
3
fYear
1999
fDate
5/1/1999 12:00:00 AM
Firstpage
1490
Lastpage
1493
Abstract
This paper presents a formulation of a numerical integrator for charged particles. The original idea of the integrator scheme was given several years ago. The main topics of this paper is the reformulation of the integrator as the Lorentz group Lie algebra map and modifications for practical use. Two numerical simulation examples, trapped electron motion in a cusp magnetic field and electron pendulum motion in the free electron laser (FEL), show the validity of this new formulation
Keywords
Lie algebras; Lie groups; electric charge; integration; numerical analysis; particle beams; Baker-Cambell-Hausdorff formula; Lorentz group Lie algebra map evaluation; charged particles; cusp magnetic field; electron pendulum motion; free electron laser; numerical integrator; numerical simulation; trapped electron motion; Algebra; Computational modeling; Electrons; Equations; Numerical simulation; Particle accelerators; Particle beam measurements; Particle beams; Personal communication networks; Shape measurement;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.767249
Filename
767249
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