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.