2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/89253We present a stochastic theory of charges moving in an electromagnetic field using nonequilibrium quantum field theory. We give a first principles' derivation of the Abraham-Lorentz-Dirac-Langevin equation which depicts the quantum expectation value for a particle's trajectory and its stochastic fluctuations by combining the worldline path integral quantization with the Feynman-Vernon influence functional or closed-time-path effective action methods. At lowest order, the equations of motion are approximated by a stochastic Lorentz-Dirac equation.Talk given by PRJ at Capri Workshop on Quantum Aspects of Beam Physics, Oct. 2000. 9 pages, no figuresQuantum Physicstext