Plasma and Fusion Research
Online ISSN : 1880-6821
Regular Articles
The Conjugate Variable Method in Hamilton-Lie Perturbation Theory - Applications to Plasma Physics -
Shinji TOKUDA
Author information
JOURNALS FREE ACCESS

2008 Volume 3 Pages 057

Details
Abstract

The conjugate variable method, an essential ingredient in the path-integral formalism of classical statistical dynamics, is used to apply the Hamilton-Lie perturbation theory to a system of ordinary differential equations that does not have the Hamiltonian dynamic structure. The method endows the system with this structure by doubling the unknown variables; hence, the canonical Hamilton-Lie perturbation theory becomes applicable to the system. The method is applied to two classical problems of plasma physics to demonstrate its effectiveness and study its properties: a non-linear oscillator that can explode and the guiding center motion of a charged particle in a magnetic field.

Information related to the author
© 2008 by The Japan Society of Plasma Science and Nuclear Fusion Research
Previous article Next article
feedback
Top