Derivation of de Broglie's Relations from Newton?s Second Law
Nizar Hamdan
Keywords: Newton second law, de Broglie matter-wave; special relativity theory
There exists an inconsistency between Einstein?s special relativity and de Broglie quantum wave, and it has never been resolved from the viewpoint of relativistic physics. A more suitable method to deal with the contradictions is to start with the laws of classical physics and make them applicable to all particle velocities; i.e., expand the appropriateness of these laws to deal with relativistic domain. When we do this, we expand the appropriateness of Newton?s Second Law (NSL) by describing the moving particle as a wave. Thus, we derive the de Broglie relations from NSL without any contradictions.
