Title :
Evaluation of the Lorentz group Lie algebra map using the Baker-Cambell-Hausdorff formula
Author_Institution :
Div. of Syst. & Inf. Eng., Hokkaido Univ., Sapporo, Japan
fDate :
5/1/1999 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
