2012/08/01 by Fabrizio Logiurato, Logiurato, Fabrizio
Physics and Astronomy · #Relativity and Gravitational Theory #Quantum Mechanics and Applications #Advanced Mathematical Theories and Applications
paper · pdf · doi:10.48550/arxiv.1208.0119
We show how Special Relativity sets tight constraints on the form of possible relations that may exist between the four-momentum of a particle and the wave four-vector. More specifically, we demonstrate that there is just one way, according to Special Relativity, to relate the finite energy and momentum of a corpuscle with the characteristics of a plane wave, frequency, wave vector and amplitude: that is by laws of direct proportionality like de Broglie equation and Planck-Einstein equation.