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

摘要

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.