Covariant Lie-Transformed Plasma Action Principle

摘要

The Lie Transform is a systematic technique for obtaining the nonlinear quasi-static effects of high-frequency phenomena. We consider, in particular, a plasma of charged particles in a self-consistent electromagnetic wave. Each particle oscillates about an oscillation center which undergoes non-oscillatory motion. We obtain the so-called ponderomotive Hamiltonian for the oscillation center, in relativistically covariant form, and demonstrate, via the action principle, that it determines the dielectric susceptibility and wave propagation. (ERA citation 10:003986)