Abdullahi, Musa Daji
Quantum Theory / Particle Physics
May 28, 2019
Aberration angle, acceleration, electric field, charge, mass, radiation, special relativity, velocity
An electron of mass m and charge –e moving with velocity v at an angle q to the accelerating force, due to an electric field of intensity E, is subject to aberration of electric field. Aberration is due to relativity of velocity (c – v) between the electrical force, transmitted with velocity of light c and the electron moving with velocity v at time t. The accelerating force m(dv/dt) is less than the electrostatic force –eE, the difference being radiation reaction force. Energy radiated is the difference between change in potential energy and change in kinetic energy. Motion of the electron with constant mass and its radiation power are treated under acceleration with q = 0 or deceleration with q = p radians or at constant speed v, in a circle of radius r, with q = p/2 radians. It is shown that circular revolution of an electron round a central force of attraction, as in the Rutherford’s nuclear model of the hydrogen atom, is without radiation and stable outside quantum mechanics, contrary to classical and relativistic electrodynamics.