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

From Natural Philosophy Wiki
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.