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In this paper, the author shows how the partial differential equations governing a centrally important segment of relativistic quantum electrodynamics--namely radiative corrections introduced by the quantization of the electromagnetic radiation field--in its simpler aspects can be derived by a novel and very elementary means. The method consists in employing the Schrodinger-Jordan rule to a classical relativistic Hamiltonian and then "symmetrizing" to exploit a special characteristic of the Hamiltonian. This leads very straightforwardly and almost painlessly to an equation that contains a very large number of the differential equations proposed in the literature for spin 1/2 (and spin 0) particles, including those differential equations governing an important part of quantum electrodynamics. 15 pp. Ref. (DGS)

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