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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
Foundations of Physics 21 (2):125-148 (1991)
Abstract
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 equationsMy notes
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Citations of this work
Single-particle trajectories and interferences in quantum mechanics.Nicola Cufaro-Petroni & Jean-Pierre Vigier - 1992 - Foundations of Physics 22 (1):1-40.
Possible test of the reality of superluminal phase waves and particle phase space motions in the Einstein-de Broglie-Bohm causal stochastic interpretation of quantum mechanics.J. P. Vigier - 1994 - Foundations of Physics 24 (1):61-83.
Review of invariant time formulations of relativistic quantum theories. [REVIEW]J. R. Fanchi - 1993 - Foundations of Physics 23 (3):487-548.
Derivation of inertial forces from the Einstein-de Broglie-Bohm (E.d.B.B.) causal stochastic interpretation of quantum mechanics. [REVIEW]Jean-Pierre Vigier - 1995 - Foundations of Physics 25 (10):1461-1494.
The wave-particle dualism in 1992: A summary. [REVIEW]Marie-Christine Combourieu & Helmut Rauch - 1992 - Foundations of Physics 22 (12):1403-1434.
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