Relativistic Derivations of de Broglie and Planck-Einstein Equations

Fabrizio Logiurato

Department of Physics, Trento University, Povo, Italy.

DOI: 10.4236/jmp.2014.51001                

Abstract

Special Relativity sets tight constraints on the form of the possible relations between the four-momentum of a particle and the wave four-vector. In fact, we demonstrate that there is just one way, according to Special Relativity, to relate the energy and the momentum of a corpuscle with the characteristics of a plane wave, frequency and wave vector, if the momentum has to flow in the same direction of the wave propagation: the laws must be of direct proportionality like de Broglie and Planck-Einstein equations.

Keywords

Quantum Theory; Special Relativity; De Broglie Relation; Planck-Einstein Relation

Conflicts of Interest

The authors declare no conflicts of interest.

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