Abstract
We use the Lie series averaging method to obtain a complete second order solution for motion of a charged particle in a spatially periodic magnetic field. A comparison is made with the first order solution obtained previously by Coffey.
Open Access
Lie transforms and motion of a charged particle in a periodic magnetic field
Received03 Nov 1981
Revised20 Jun 1982
Copyright
Copyright © 1984 Hindawi Publishing Corporation. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.