Runaway Solutions: Remarks on the Asymptotic Theory of Radiation Damping

Details Runaway Solutions: Remarks on the Asymptotic Theory of Radiation Damping Runaway Solutions: Remarks on the Asymptotic Theory of Radiation Damping

Oct 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970phrva...2.1501b&link_type=abstract

Physical Review A, vol. 2, Issue 4, pp. 1501-1505

Physics

18

Scientific paper

This paper examines the "runaway solutions" (exponentially diverging solutions) which often arise in slow-motion approximations such as classical electron theory. Detailed study of a typical runaway shows that it is a spurious solution attributable to faulty approximation technique rather than a physical result connected with, for example, the point-electron assumption. Methods for consistently using the slow-motion approximation while avoiding these spurious solutions are given.

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