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Zhurnal Tekhnicheskoi Fiziki, 2017, Volume 87, Issue 2, Pages 170–174
DOI: https://doi.org/10.21883/JTF.2017.02.44121.1519 (Mi jtf6305) 		 
Theoretical and Mathematical Physics

Canonical algorithms for numerical integration of charged particle motion equations

I. N. Efimov, E. A. Morozov, A. R. Morozova

Izhevsk State Technical University
Full-text PDF (134 kB)
DOI: https://doi.org/10.21883/JTF.2017.02.44121.1519
URL: https://journals.ioffe.ru/jtf/2017/02/page-170.html.ru
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.
Received: 13.07.2015
Revised: 29.03.2016
English version:
Technical Physics, 2017, Volume 62, Issue 2, Pages 196–200
DOI: https://doi.org/10.1134/S1063784217020074
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. N. Efimov, E. A. Morozov, A. R. Morozova, “Canonical algorithms for numerical integration of charged particle motion equations”, Zhurnal Tekhnicheskoi Fiziki, 87:2 (2017), 170–174; Tech. Phys., 62:2 (2017), 196–200
Citation in format AMSBIB
\Bibitem{EfiMorMor17}
\by I.~N.~Efimov, E.~A.~Morozov, A.~R.~Morozova
\paper Canonical algorithms for numerical integration of charged particle motion equations
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2017
\vol 87
\issue 2
\pages 170--174
\mathnet{http://mi.mathnet.ru/jtf6305}
\crossref{https://doi.org/10.21883/JTF.2017.02.44121.1519}
\elib{https://elibrary.ru/item.asp?id=28964661}
\transl
\jour Tech. Phys.
\yr 2017
\vol 62
\issue 2
\pages 196--200
\crossref{https://doi.org/10.1134/S1063784217020074}
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