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We derive the radiation reaction by taking into account that the accelerationof the charge is caused by the interaction with some heavy source particle. Inthe non relativistic case this leads, in contrast to the usual approach,immediately to a result which is Galilei invariant. Simple examples show thatthere can be small regions of extremely low velocity where the energyrequirements cannot be fulfilled, and which the charged particle can only crossby quantum mechanical tunneling. We also give the relativistic generalizationwhich appears unique. The force is a four-vector, but only if the presence ofthe source is taken into account as well. It contains no third derivatives ofthe position as the Lorentz-Abraham-Dirac equation, and consequently no runaway solutions. All examples considered so far give reasonable results.

Novel and Unique Expression for the Radiation Reaction Force, Relevance of Newton's Third Law and Tunneling