Abstract
The quantum theory of radiation describes the effect of retardation in the interaction of two charged particles by the mutual emission and absorption of light quanta. The method used in a previous paper on the interaction of radiation and two particles is extended and applied to a process involving the interaction of any number of charged particles (obeying Dirac's equation) and light quanta. It is shown that in the usual first-order approximation of perturbation theory the resulting expression for the interaction of two free particles obtained by summing over all the intermediate states involving virtual quanta is of the same form for any process. By carrying the summation one step further it is shown that this expression reduces to M\o{}ller's formula. The results are relativistically invariant in spite of the usual omission of divergent terms in the Hamiltonian.
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