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Derivation of de Broglie's Relations from Newton's Second Law

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Scientific Paper
TitleDerivation of de Broglie's Relations from Newton's Second Law
Author(s)Nizar Hamdan
KeywordsNewton second law, de Broglie matter-wave, special relativity theory
Published2007
JournalGalilean Electrodynamics
Volume18
Number6
Pages108-111

Abstract

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.