Uniform Motion of a Charge

Abstract

In this chapter we consider a uniformly moving charge, that is, the case where the motion of the charge is translational with a constant velocity. Solutions of the nonlinear Schrödinger and nonlinear Klein-Gordon equation which describe uniformly moving charges have a form of wave-corpuscles. We describe point attributes of wave corpuscles such as their translational velocity and momentum and wave attributes such as group velocity and de Broglie wavevector. We consider both non-relativistic and relativistic cases.