LAGRANGIAN FORMULATION OF A CONSISTENT RELATIVISTIC GUIDING CENTER THEORY
A new relativistic guiding center mechanics is presented that conserves energy (in time independent fields) and satisfies a Liouville's theorem. The theory reduces to Littlejohn's theory in the non-relativistic limit and agrees to leading order in epsilon = tau-g/L with the relativistic theory by Morozov and Solov'ev (which generally lacks a Liouville's theorem). The new theory is developed from an appropriate Lagrangian and is supplemented by a collisionless relativistic kinetic equation for the guiding centers. Moment equations for guiding center density and energy density are also derived.
Bibliographic Reference: ZEITSCHRIFT FUER NATURFORSCHUNG, VOL. 38A (1983), PP. 601-607
Record Number: 1989122005600 / Last updated on: 1987-01-01
Available languages: en