Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-12-30
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages and 4 figs. Latex. Figures available from rivera@newton.fis.utfsm.cl
Scientific paper
We present an exact formula for the computation of the interference rate of radiation in the case of two charges revolving with constant angular velocity at opposite ends of a diameter in a fixed circle. The formula is valid for arbitrary velocities of the charges, and can be easily studied by numerical methods, even for velocities very close to the velocity of light. For ultrarelativistic motion, the interference rate of radiation behaves as $\ln(1-v^2/c^2)^{-1/2}$, which contrasts with the behavior $(1 - v^2/c^2)^{-2}$ for the rate of radiation for one charge in circular motion. This is the first exact calculation for the interference rate of radiation of two relativistic charges, and it is useful in connection with the old controversy about the correctness of the Lorentz-Dirac equations of motion for more than one charge.
Rivera Rodrigo
Villarroel Danilo
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