Ju n 20 09 Geometric Formulation of the Classical Dynamics of Point Charged Particles in an External Electromagnetic Field June 26 , 2009

  • Ricardo Gallego Torrome

Abstract

A geometric formulation of the Lorentz law as the differential equations for auto-parallel integral curves of a linear connection L ∇ is presented. We define an associated covariant derivative also denoted by L ∇. Then, we use an averaging procedure to obtain the averaged connection and the associated averaged dynamics. This averaged dynamics is simpler… (More)

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