Delayed Equation for Charged Rigid Nonrelativistic Ball
نویسنده
چکیده
Long time ago to calculate back-reaction of electromagnetic field on moving with acceleration a charged classical (not quantum) particle of finite size Sommerfeld [1] considered two models uniformly charged rigid sphere and uniformly charged rigid ball and found out explicit expressions for electromagnetic self-forces. These expressions in nonrelativistic limit are much simpler then the original ones. Thus for uniformly charged rigid sphere (with radius a, total charge Q and mass m ), moving along trajectory ~ R = ~ R(t), the equation of motion with self-force, which include the back-reaction of electromagnetic radiation, is the known delayed equation (see, for ex., [2-5])
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