Some Analytical Results on Classical Tunneling of Sommerfeld Particle
نویسنده
چکیده
Let us remind that Sommerfeld model of charged rigid sphere [1] (Sommerfeld particle) is the simplest theoretical model to take into consideration the ”back-reaction” of self-electromagnetic field on equation of motion of a radiating extended charged body (for point-like charge we have the known LorentzDirac equation with all its problems: renormalization of mass, preacceleration, runaway solutions, etc.). For the case of simplicity here we consider the nonrelativistic, linear in velocity, version of Sommerfeld model [2]. So let the total charge of a uniformly charged sphere be Q, mechanical mass m, radius a. Then its equation of motion reads [1,2]:
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