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Hence it is worth while discussing them without the added and unnecessary
complication of including reaction effects. The remaining answer to the first
question is that a completely satisfactory treatment of the reactive effects of
radiation does not exist. The difficulties presented by this problem touch one of
the most fundamental aspects of physics, the nature of an elementary particle.
Although partial solutions, workable within limited areas, can be given, the basic
problem remains ...
The criterion for the point when radiative effects begin to be important can thus be
expressed by £rad~£o (17.2) The specification of the relevant energy E0
demands a little care. We will distinguish two apparently different situations, one
in which the particle is initially at rest and is acted on by the applied force only for
the finite interval T, and one where the particle undergoes continual acceleration,
e.g., in quasiperiodic motion at some characteristic frequency <u0. For the
particle at ...
Since a>0~1 is a time appropriate to the mechanical motion, again we see that, if
the relevant mechanical time interval is long compared to the characteristic time T
(17.3), radiative reaction effects on the motion will be unimportant. The examples
of the last two paragraphs show that the reactive effects of radiation on the motion
of a charged particle can be expected to be important if the external forces are
such that the motion changes appreciably in times of the order of T or over ...
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Introduction to Electrostatics
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