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Daviau, C., Fargue, D., Priem, D. and Racineux, G. (2013) Annales de la Fondation Louis de Broglie, 38, 139-153.
Daviau, C., Priem, D. and Racineux, G. (2013) Annales de la Fondation Louis de Broglie, 38, 189-194.

has been cited by the following article:

• TITLE: Soliton Wave for the Magnetic Electron

  AUTHORS: Claude Daviau, Jacques Bertrand

  KEYWORDS: Quantum Mechanics, Nonlinear Wave Equation, Relativity, Wave-Particle Dualism

  JOURNAL NAME: Journal of Modern Physics, Vol.14 No.11, October 23, 2023

  ABSTRACT: A century ago, de Broglie discovered the wave associated to the motion of the electron. We present here the soliton solutions of a nonlinear relativistic wave equation. Two such solitons exist, corresponding to the two possible states of a particle with spin j = 1/2. The mystery of wave-particle dualism is solved: the electron is both a particle, a point which is a singularity, and a wave extended throughout the whole space.