Universality of the de Broglie-Einstein velocity equation

TL;DR

This paper demonstrates that the de Broglie-Einstein velocity equation is universally valid for both relativistic and non-relativistic particles, highlighting its fundamental nature across different regimes.

Contribution

It derives and discusses the universal applicability of the de Broglie-Einstein velocity equation, independent of relativistic effects.

Findings

Velocity equation is valid in non-relativistic regime

Equation is derived from energy and momentum relations

Universal applicability confirmed across regimes

Abstract

The de Broglie-Einstein velocity equation is derived for a relativistic particle by using the energy and momentum relations in terms of wave and matter properties. It is shown that the velocity equation is independent from the relativistic effects and is valid also for the non-relativistic case. The results of this property is discussed.