For the Maxwell-Lorentz system, the spacelike and zero-frequency asymptotic field limits are constants of motion, yielding a rigorous soft-photon theorem that ties the change in electron velocity to one-over-k singularities in scattered radiation.
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A soft-photon theorem for the Maxwell-Lorentz system
For the Maxwell-Lorentz system, the spacelike and zero-frequency asymptotic field limits are constants of motion, yielding a rigorous soft-photon theorem that ties the change in electron velocity to one-over-k singularities in scattered radiation.