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arxiv: 1107.2851 · v1 · pith:I4JICVJFnew · submitted 2011-07-14 · 🪐 quant-ph · hep-th

Consistency of a Causal Theory of Radiative Reaction with the Optical Theorem

classification 🪐 quant-ph hep-th
keywords opticaltheoremcausalradiativereactionrunawaysolutionstheory
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The Abraham-Lorentz-Dirac equation for a point electron, while suffering from runaway solutions and an acausal response to external forces, is compatible with the optical theorem. We show that a theory of radiative reaction that allows for a finite charge distribution is not only causal and free of runaway solutions, but is also consistent with the optical theorem and the standard formula for the Rayleigh scattering cross section.

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