Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Foundations of Physics

Particle-like configurations of the electromagnetic field: An extension of de Broglie's ideas

A. O. Barut, Anthony J. Bracken

Published Oct 1, 1992• 30 citations
Publisher
DOI
10.1007/bf01889713

Related papers

Modified de Broglie approach applied to the Schrödinger and Klein-Gordon equations

James Baker‐Jarvis, Pavel Kaboš

The goal of this paper is an extension of the de Broglie wave mechanics model for a single spinless particle in an electromagnetic field. The analysis indicates that the motion of a particle separates naturally into particle dynamics through the classical Hamilton-Jacobi equation and quantum wave behavior through a pilot or interaction wave equation. The interaction wave equation travels at the classical particle velocity. We study gauge invariance and interpret it in the light of the interaction wave. The Heisenberg uncertainty relations are shown to be implicit in the interaction wave. We also develop a complex quantum-mechanical, relativistic energy-momentum conservation expression using a complex quantum-mechanical four-vector.

Physical Review A•Oct 21, 2003•19 citations

Quantum particle-like configurations of the electromagnetic field

A. O. Barut, Aaron K. Grant

Foundations of Physics Letters•Aug 1, 1990•26 citations

Origin of the Inertia (Mass) of âQuantum Mechanical Probability Wavesâ (âDe Broglie Wavesâ/âMaterial Wavesâ). A Mathematical Framework in Quantum Physics for the Quantization of Mass, Electric Charge and Magnetic Spin

Wim Vegt

This article will prove and supply the mathematical evidence that “Quantum Mechanical Probability Waves” (De Broglie waves / Material Waves) do have mass. “De Broglie Waves” contain all the mass of all the matter in our universe. What we do measure in our complex experiments are only “De Broglie Waves” and never the illusionary elementary particles. “De Broglie Waves” are the only carrier of the Physical Observable (Measurable) world. Elementary particles are the worldwide accepted physical concept during the last 2400 years since Democritus, a Greek philosopher (460 - 370 BC) had introduced the fundamental concept of the atom (atomos). The “New Theory” presents a “New Equation” describing the electromagnetic field configurations which are also solutions of the Schrodinger's wave equation and the relativistic quantum mechanical Dirac Equation and carry mass, electric charge and magnetic spin at discrete values.

•Jan 1, 2021•0 citations

On electromagnetic- and De Broglie waves

A. Komjáthy

Hungarica Acta Physica•Dec 1, 1947•0 citations

Study of a Model of Quantum Electrodynamics

Oscar Wallace Greenberg

arXiv:hep-th/0002201•Foundations of Physics•Mar 1, 2000•4 citations

Beables for quantum field theory

J S Bell

Introduction Bohm's 1952 papers on quantum mechanics were for me a revelation. The elimination of indeterminism was very striking. But more important, it seemed to me, was the elimination of any need for a vague division of the world into ‘system’ on the one hand, and ‘apparatus’ or ‘observer’ on the other. I have always felt since that people who have not grasped the ideas of those papers … and unfortunately they remain the majority … are handicapped in any discussion of the meaning of quantum mechanics. When the cogency of Bohm's reasoning is admitted, a final protest is often this: it is all nonrelativistic. This is to ignore that Bohm himself, in an appendix to one of the 1952 papers, already applied his scheme to the electromagnetic field. And application to scalar fields is straightforward. However until recently, to my knowledge, no extension covering Fermi fields had been made. Such an extension will be sketched here. The need for Fermi fields might be questioned. Fermions might be composite structures of some kind. But also they might not be, or not all. The present exercise will not only include Fermi fields, but even give them a central role. The dependence on the ideas of de Broglie and Bohm, and also on my own simplified extension to cover spin, will be manifest to those familiar with these things. However no such familiarity will be assumed.

Cambridge University Press eBooks•Jun 3, 2004•112 citations
The goal of this paper is an extension of the de Broglie wave mechanics model for a single spinless particle in an electromagnetic field. The analysis indicates that the motion of a particle separates naturally into particle dynamics through the classical Hamilton-Jacobi equation and quantum wave behavior through a pilot or interaction wave equation. The interaction wave equation travels at the classical particle velocity. We study gauge invariance and interpret it in the light of the interaction wave. The Heisenberg uncertainty relations are shown to be implicit in the interaction wave. We also develop a complex quantum-mechanical, relativistic energy-momentum conservation expression using a complex quantum-mechanical four-vector.
This article will prove and supply the mathematical evidence that “Quantum Mechanical Probability Waves” (De Broglie waves / Material Waves) do have mass. “De Broglie Waves” contain all the mass of all the matter in our universe. What we do measure in our complex experiments are only “De Broglie Waves” and never the illusionary elementary particles. “De Broglie Waves” are the only carrier of the Physical Observable (Measurable) world. Elementary particles are the worldwide accepted physical concept during the last 2400 years since Democritus, a Greek philosopher (460 - 370 BC) had introduced the fundamental concept of the atom (atomos). The “New Theory” presents a “New Equation” describing the electromagnetic field configurations which are also solutions of the Schrodinger's wave equation and the relativistic quantum mechanical Dirac Equation and carry mass, electric charge and magnetic spin at discrete values.
Introduction Bohm's 1952 papers on quantum mechanics were for me a revelation. The elimination of indeterminism was very striking. But more important, it seemed to me, was the elimination of any need for a vague division of the world into ‘system’ on the one hand, and ‘apparatus’ or ‘observer’ on the other. I have always felt since that people who have not grasped the ideas of those papers … and unfortunately they remain the majority … are handicapped in any discussion of the meaning of quantum mechanics. When the cogency of Bohm's reasoning is admitted, a final protest is often this: it is all nonrelativistic. This is to ignore that Bohm himself, in an appendix to one of the 1952 papers, already applied his scheme to the electromagnetic field. And application to scalar fields is straightforward. However until recently, to my knowledge, no extension covering Fermi fields had been made. Such an extension will be sketched here. The need for Fermi fields might be questioned. Fermions might be composite structures of some kind. But also they might not be, or not all. The present exercise will not only include Fermi fields, but even give them a central role. The dependence on the ideas of de Broglie and Bohm, and also on my own simplified extension to cover spin, will be manifest to those familiar with these things. However no such familiarity will be assumed.