A New Attempt To The Equation Of Motion In Lorentz Electron Theory

It has been lasted more than one hundred years for physicists search a proper equation of the motion of an electron with electromagnetic self-force since Lorentz’ s and Abraham’ s pioneer investigation, however, the goal has not been reached sat-isfactorily yet. In this thesis, the electromagnetic self-force is analyzed qualitatively. Focus on the problem of "run-away", the relevant works in literature is reviewed, with the aim to analyze the essence of the electron theory problem and source of the contradictions. In principle, for the settlement of the problem it should be incorpo-rated into the framework of quantum theory. Due to the difficulties of the problem and the understanding that the treatment of classical theory maybe the basis for the settlement of the problem, our introduction and investigation are mainly within the classical electrodynamics and several attempts of quantum theory were only briefly introduced. Further, a new attempt to the equation of motion in Lorentz electron theory is proposed. Employing the Maxwell stress tensor, and in the picture of the electron’ s point particle the radiation self-force accelerated electron is re-calculated, hence a new equation for an electron with the radiation self-force is obtained. The correct form of radiation reaction is the basis to settle the Lorentz electron theory problem, and it is also applicable to the case of the movement of electrons in intense laser field when radiation damping cannot be ignored.