Canonical algorithms for numerical integration of charged particle motion equations

A technique for numerically integrating the equation of charged particle motion in a magnetic field is considered. It is based on the canonical transformations of the phase space in Hamiltonian mechanics. The canonical transformations make the integration process stable against counting error accumu...

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Bibliographic Details
Published in:Technical physics 2017-02, Vol.62 (2), p.196-200
Main Authors: Efimov, I. N., Morozov, E. A., Morozova, A. R.
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Charged particles
Classical and Continuum Physics
Ion optics
Magnetic fields
Numerical integration
Particle accelerators
Particle motion
Phase transitions
Physics
Physics and Astronomy
Theoretical and Mathematical Physics
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Summary:A technique for numerically integrating the equation of charged particle motion in a magnetic field is considered. It is based on the canonical transformations of the phase space in Hamiltonian mechanics. The canonical transformations make the integration process stable against counting error accumulation. The integration algorithms contain a minimum possible amount of arithmetics and can be used to design accelerators and devices of electron and ion optics.
ISSN:1063-7842
1090-6525
DOI:10.1134/S1063784217020074