A THEORETICAL ENERGY PARADOX IN LORENTZ-DIRAC-WHEELER-FEYNMAN-ROHRLICH ELECTRODYNAMICS

In this article we deduce the Lorentz-Dirac-Wheeler-Feynman-Rohrlich equation of motion of a charged particle by considering a special case of the Sommerfeld, Markoff, Bohm-Weinstein and Shih-Prastein-Erber equations of motion. We can prove or classical examples that 1) there is conservation of energy in the Lorentz-Dirac-Wheeler-Feynman-Rohrlich electrodynamics for the «good solution» of these theories and time-dependent (one-dimensional) forces; 2) there appears a theoretical «paradox» for the constant homogeneous magnetic field. Here the total radiation is bigger than the initial kinetic energy! Here there is no conservation of the total observable energies. © 1969 Società Italiana di Fisica.