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Asymptotic character of the series of classical electrodynamics and an application to bremsstrahlung

1993
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Nonlinearity
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Absbad. The Lorentz-Dirac equation. which describes the self-interaction of a classical charged particle with the electromagnetic field, is studied, for the case of scattering and in the non-relativistic approximation, in the framework of the theory of singular perturbation problems. We prove that the series expansions, which are usually given for the solutions in terms of the electric charge, in general are divergent and have asymptotic character. A closer inspection of such series leads to

doi:10.1088/0951-7715/6/6/004
fatcat:l3blrbghgrdzfefzxzfkhaheb4