Foundations of Physics

, Volume 21, Issue 2, pp 125–148 | Cite as

Explicit mathematical construction of relativistic nonlinear de Broglie waves described by three-dimensional (wave and electromagnetic) solitons “piloted” (controlled) by corresponding solutions of associated linear Klein-Gordon and Schrödinger equations

  • Jean-Pierre Vigier
Part V. Invited Papers Dedicated To John Stewart Bell


Starting from a nonlinear relativistic Klein-Gordon equation derived from the stochastic interpretation of quantum mechanics (proposed by Bohm-Vigier, (1) Nelson, (2) de Broglie, (3) Guerra et al. (4) ), one can construct joint wave and particle, soliton-like solutions, which follow the average de Broglie-Bohm (5) real trajectories associated with linear solutions of the usual Schrödinger and Klein-Gordon equations.


Soliton Quantum Mechanic Linear Solution Mathematical Construction Real Trajectory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Jean-Pierre Vigier
    • 1
  1. 1.CNRS/UA 769, Laboratoire de Physique ThéoriqueUniversité Pierre et Marie CurieParisFrance

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