Electrodynamics of the Joule-Lenz Law Applied to the Energy Emission Done by a Free Electron or Harmonically-Oscillating Microparticle

Abstract

We demonstrate that the intensity of the energy emission obtained from the Joule-Lenz law applied to the case of a single free-electron particle or a harmonic oscillator does not depend on the change of size of the corresponding energy interval () and time interval () because the ratio of  to  representing the emission rate remains constant. For a free electron, this property holds on condition the calculations of  and  refer to the states having a sufficiently large quantum index n.