Canonical algorithms for numerical integration of charged particle motion equations
- Authors: Efimov I.N.1, Morozov E.A.1, Morozova A.R.1
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Affiliations:
- Kalashnikov State Technical University
- Issue: Vol 62, No 2 (2017)
- Pages: 196-200
- Section: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/1063-7842/article/view/198861
- DOI: https://doi.org/10.1134/S1063784217020074
- ID: 198861
Cite item
Abstract
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.
About the authors
I. N. Efimov
Kalashnikov State Technical University
Author for correspondence.
Email: chti@chti.ru
Russian Federation, Izhevsk, 427622
E. A. Morozov
Kalashnikov State Technical University
Email: chti@chti.ru
Russian Federation, Izhevsk, 427622
A. R. Morozova
Kalashnikov State Technical University
Email: chti@chti.ru
Russian Federation, Izhevsk, 427622