LORENTZ-ABRAHAM-DIRAC AND LANDAU-LIFSHITZ EQUATIONS OF MOTION AND THE SOLUTION TO A RELATIVISTIC ELECTRON IN A COUNTERPROPAGATING LASER BEAM

Lorentz-Abraham-Dirac and Landau-Lifshitz equations of motion and the solution to a relativistic electron in a counterpropagating laser beam

Beginning with a critical examination of the Lorentz-Abraham (LA) classical equation of motion for an extended charge and the closely related Lorentz-Abraham-Dirac (LAD) equation of motion for a mass-renormalized point-charge, the Landau-Lifshitz Sleeveless Romper (LL) approximate solution to the LAD equation of motion is determined for an electron

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