Relativistic Remnants of Non-Relativistic Electrons
Abstract
Electrons obeying the Dirac equation are investigated under the non-relativistic c ∞ limit. General solutions are given by derivatives of the relativistic invariant functions whose forms are different in the time- and the space-like region, yielding the delta function of (ct)2 - x2. This light-cone singularity does survive to show that the charge and the current density of electrons travel with the speed of light in spite of their massiveness.
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