Mathematical differences and physical similarities between Eliezer-Ford-O'connell equation and Landau-Lifshitz equation

Abstract

Recently, for high intensity electromagnetic waves, it has been proven that the solutions for the Eliezer-Ford-O'Connell equation and the Landau-Lifshitz equation coincide within a physically detectable range. For large-scale temporal effects, similar results are obtained for the central force problem. However, in the case of a constant magnetic field, the frequencies which describe the motion in both equations differ. Nonetheless, quantum constraints avoid the measurement of such difference making both equations physically equivalent for all the scale of energies and fields within Classical Mechanics regime.