Lie transforms and motion of a charged particle in a periodic magnetic field
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.
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
1984-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171284000168 |
Summary: | 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. |
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ISSN: | 0161-1712 1687-0425 |