Classical Electricity and Magnetism

The equation of motion of an electron: a debate in classical and quantum physics

“…It is reasonable that a full QED calculation will be at least as well-behaved as is the case in nonrelativistic quantum 12 mechanics. Unfortunately, there exists as yet no real calculation in QED to confm these conjectures.…”

“…Equations (4) and (6) are the desired expressions for the classical equation of motion and can be shown to be identical to the power series expression derived by Lorentz for linearized radiation reaction in the nonrelativistic approximation [3,12]. For the case of a spherical shell of radius a,…”

“…the Coulomb field of a Pp = I && (16) is a four vector [12]. The momentum associated with the Poincartl stress alone is (17) We need to add dp~Oiu& /dt to the force and the power equations.…”

“…There are several excellent text books [12,13,14] and review articles [15,16,17] on the classical electron theory.…”

Planck Scale Potential Associated with Particles

“…From classical electrostatics, the rest energy U 0 of a spherical charge body with total charge q, uniformly distributed over its spherical surface of radius r is given in equation 1. The relativistic electromagnetic energy U of the charge q, moving with velocity u can be derived, similar to derivations given by Panofsky [23] However, according to mass-energy equivalence and the theory of relativity, the equivalent electromagnetic invariant mass m e of an electron with charge e is from equation1 with qe  , …”