TITLE:
Relativistic Derivations of de Broglie and Planck-Einstein Equations
AUTHORS:
Fabrizio Logiurato
KEYWORDS:
Quantum Theory; Special Relativity; De Broglie Relation; Planck-Einstein Relation
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.1,
January
15,
2014
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.