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

Electromagnetic interactions

Kenichi Konishi, Giampiero Paffuti

Published Mar 5, 2009• 0 citations
Publisher

Abstract

Abstract In quantum mechanics, in contrast to what happens in classical mechanics, the physical meaning of electromagnetism is to be attributed to the phase factor where Aμ =(Φ, A) are the scalar and vector potential, rather than to the electric and magnetic fields E, B themselves.
DOI
10.1093/oso/9780199560264.003.0014

Related papers

What the electromagnetic vector potential describes

E. J. Konopinski

An explicit physical interpretation of the electromagnetic vector potential is here pointed out—as field momentum available for exchange with kinetic momenta of charged matter. It is shown that the vector potential can be quite as directly measurable, without recourse to only quantum-mechanical effects, as are scalar potential differences and the force fields E, B. This suggests, in keeping with quantum electrodynamics, that the equations for potentials may be regarded as more ’’basic’’ than the Maxwell equations—but only because the potentials most directly represent interaction energy-momenta through which fields and charges become observable.

American Journal of Physics•May 1, 1978•117 citations

Surprising predictions of the electromagnetic angular momentum

Ricardo Heras

In the context of the Aharonov-Bohm effect, it is well-known that the local action of the vector potential or the non-local action of the magnetic field are properties attributable to quantum physics, which can explain the observed Aharonov-Bohm phase. Here we point out that, surprisingly, these properties are also attributable to classical physics and that this result follows from examining the electromagnetic angular momentum of a static electric charge outside an infinitely-long solenoid of finite radius carrying a uniform magnetic flux. This angular momentum may be expressed in three equivalent forms. The first form shows that there is an electromagnetic angular momentum even in regions for which the magnetic field vanishes but the potential does not, which stresses the physical nature of the vector potential in classical physics. The second form shows that there is an electromagnetic angular momentum produced by the non-local action of the magnetic field. The third form shows that the Aharonov-Bohm phase is proportional to the magnitude of the electromagnetic angular momentum, which sheds light on the physical meaning of this phase.

arXiv:1902.01694•Feb 5, 2019•0 citations

Electromagnetism as Quantum Physics

Charles T. Sebens

arXiv:1902.01930•Foundations of Physics•Mar 19, 2019•28 citations

About the Equations of Electromagnetism and Quantum Mechanics

Jayme Vaz, Waldyr A. Rodrigues

•Jan 1, 1994•0 citations

New expressions for the Aharonov–Bohm phase and consequences for the fundamentals of quantum mechanics

Alexander L. Kholmetskii, Tolga Yarman, O. Missevitch

Abstract We focus on new expressions for the Aharonov–Bohm (AB) phase proposed recently by C. Marletto and V. Vedral (Phys. Rev. Lett. 125, 040401 (2020)) and by our team (A. L. Kholmetskii et al., Ann. Phys., 434, 168627 (2021)). We emphasize the mismatch between the standard expression for the electric component of the AB phase and the expression by Marletto and Vedral for this component, which, as we show, has fundamental roots and indicates the need to use different expressions for the Hamiltonian of the radiative component and bound component of the electromagnetic (EM) field. We further show that the corrected expression for the AB phase of Marletto and Vedral and our expression for the AB phase do not coincide with its standard representation through the potentials of EM field (Y. Aharonov, D. Bohm, Phys. Rev. 115 (1959) 485) and contain additional terms, which straightforwardly allow to re-express the AB phase via electric and magnetic fields instead of scalar and vector potentials. The recognition of the field-dependent origin of the AB effect also requires to re-express the Hamiltonian of a charged particle through the EM field, which we show can be done in the only possible way. We discuss the physical meaning of the AB effect with the primary role of the EM field and also discuss some general quantum mechanical implications.

Zeitschrift für Naturforschung A•Jan 8, 2024•1 citation

Quantum-Mechanical Description of the Electromagnetic Interaction of Relativistic Particles with Electric and Magnetic Dipole Moments

Alexander J. Silenko

Russian Physics Journal•Aug 1, 2005•64 citations
An explicit physical interpretation of the electromagnetic vector potential is here pointed out—as field momentum available for exchange with kinetic momenta of charged matter. It is shown that the vector potential can be quite as directly measurable, without recourse to only quantum-mechanical effects, as are scalar potential differences and the force fields E, B. This suggests, in keeping with quantum electrodynamics, that the equations for potentials may be regarded as more ’’basic’’ than the Maxwell equations—but only because the potentials most directly represent interaction energy-momenta through which fields and charges become observable.
In the context of the Aharonov-Bohm effect, it is well-known that the local action of the vector potential or the non-local action of the magnetic field are properties attributable to quantum physics, which can explain the observed Aharonov-Bohm phase. Here we point out that, surprisingly, these properties are also attributable to classical physics and that this result follows from examining the electromagnetic angular momentum of a static electric charge outside an infinitely-long solenoid of finite radius carrying a uniform magnetic flux. This angular momentum may be expressed in three equivalent forms. The first form shows that there is an electromagnetic angular momentum even in regions for which the magnetic field vanishes but the potential does not, which stresses the physical nature of the vector potential in classical physics. The second form shows that there is an electromagnetic angular momentum produced by the non-local action of the magnetic field. The third form shows that the Aharonov-Bohm phase is proportional to the magnitude of the electromagnetic angular momentum, which sheds light on the physical meaning of this phase.
Abstract We focus on new expressions for the Aharonov–Bohm (AB) phase proposed recently by C. Marletto and V. Vedral (Phys. Rev. Lett. 125, 040401 (2020)) and by our team (A. L. Kholmetskii et al., Ann. Phys., 434, 168627 (2021)). We emphasize the mismatch between the standard expression for the electric component of the AB phase and the expression by Marletto and Vedral for this component, which, as we show, has fundamental roots and indicates the need to use different expressions for the Hamiltonian of the radiative component and bound component of the electromagnetic (EM) field. We further show that the corrected expression for the AB phase of Marletto and Vedral and our expression for the AB phase do not coincide with its standard representation through the potentials of EM field (Y. Aharonov, D. Bohm, Phys. Rev. 115 (1959) 485) and contain additional terms, which straightforwardly allow to re-express the AB phase via electric and magnetic fields instead of scalar and vector potentials. The recognition of the field-dependent origin of the AB effect also requires to re-express the Hamiltonian of a charged particle through the EM field, which we show can be done in the only possible way. We discuss the physical meaning of the AB effect with the primary role of the EM field and also discuss some general quantum mechanical implications.