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 Schroedinger equations
Journal Article
·
· Foundations of Physics; (United States)
- Univ. Pierre et Marie Curie, Paris (France)
Starting from a nonlinear relativistic Klein-Gordon equation derived from the stochastic interpretation of quantum mechanics (proposed by Bohm-Vigier, Nelson, de Broglie, Guerra et al.), one can construct joint wave and particle, soliton-like solutions, which follow the average de Broglie-Bohm real trajectories associated with linear solutions of the usual Schroedinger and Klein-Gordon equations.
- OSTI ID:
- 5737778
- Journal Information:
- Foundations of Physics; (United States), Journal Name: Foundations of Physics; (United States) Vol. 21:2; ISSN FNDPA; ISSN 0015-9018
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHARGED PARTICLES
DE BROGLIE WAVELENGTH
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
KLEIN-GORDON EQUATION
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
QUANTUM MECHANICS
QUASI PARTICLES
RELATIVITY THEORY
SCHROEDINGER EQUATION
SOLITONS
SPACE
STOCHASTIC PROCESSES
WAVE EQUATIONS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHARGED PARTICLES
DE BROGLIE WAVELENGTH
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
KLEIN-GORDON EQUATION
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
QUANTUM MECHANICS
QUASI PARTICLES
RELATIVITY THEORY
SCHROEDINGER EQUATION
SOLITONS
SPACE
STOCHASTIC PROCESSES
WAVE EQUATIONS