Relativity and quantum mechanics: Jorgensen revisited

2007/03/25 by Bernhard Rothenstein, Rothenstein, Bernhard
Engineering · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Geophysics and Sensor Technology #Quantum Mechanics and Applications #Relativity and Gravitational Theory #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0703228

arxiv created 2007/03/25 · openalex publication_date 2007/03/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We first define the functions which ensure the transformation of momentum and energy of a tardyon, the transformation of the wave vector and the frequency of the associated wave. Having done this, we show that they ensure the relativistic invariance of the quotient between momentum and wave vector and between energy and frequency if the product between particle velocity u and phase velocity w is a relativistic invariant (uw=c²), a condition which is a natural combination of special relativity theory and quantum mechanics.

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