A new relativistic guiding center mechanics is presented that conserves energy (in timeindpendent Fields) and satisfies a Liouville's theorem. The theory reduces to Littlejohn's theory in the non-relativistic limit and agrees to leading orders in ε ≡ r 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
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Open AccessUnrestricted Harmonic BalanceJune 2, 2014
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Open AccessFinite Wavetrains in a One-Dimensional MediumJune 2, 2014
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Open AccessBerichtigungJune 2, 2014