An exact solution of Dirac's equation in the field of plane EM wave: Physical implications

Abstract

Within the frameworks of Classical and Quantum Electrodynamics, the behavior of relativistic charged particle in the field of a plane electromagnetic wave is considered. It is shown that the imposition of natural initial conditions in relativistic motion equation of Lorentz and the choice of initial wave function in Dirac's equation describe the correspondence between the classical and quantum descriptions properly. The same initial conditions for free particle applied to the Lorentz-Dirac equation also result in physical solutions without any pre-acceleration.