Abstract
We extend the probabilistic interpretation of the relativistic scattering of a charged scalar particle by an external electromagnetic field to a system of several such particles. We find that the use of causal Green functions again demands the specification of boundary conditions for particles at the initial time, and for antiparticles at the final time. The resulting theory is essentially one for a fixed number of particles, which can be found in two states, customarily described as «going forward in time» (particles) and «going backward in time» (antiparticles). This feature allows, and strongly recommends, the use of Dirac's many-time formalism, with one time parameter for each particle. The probabilistic interpretation includes the possibilities of pair creation and annihilation.
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