International Journal of Mathematics and Mathematical Sciences
Volume 7 (1984), Issue 1, Pages 159-169
doi:10.1155/S0161171284000168
Lie transforms and motion of a charged particle in periodic magnetic field
Sikha Bhattacharyya
and R.K. Roy Choudhury
Electronics Unit, Indian Statistical Institute, Calcutta 700035, India
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.