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

The Physics Meaning of the Electro-magnet Vector-potential A

Zheng Yong-lin

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

It is generally believed that only circuit value of electro-magnet vec tor-potential A has physics meaning while value A on each point does not.From t he perspective of energy and momentum of field,through direct observance of expe riments on the basis of quantum mechanics, the writer of this article proposes t hat A should be a quantum with physics meaning.

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

Measuring Electromagnetic Vector Potential via Weak Value

Arun Kumar Pati

Electromagnetic vector potential has physical significance in quantum mechanics as revealed by the Aharonov-Bohm effect for charged particles. However, till date it is thought that we cannot measure the vector potential directly as this is not a gauge invariant quantity. Contrary to this belief, here we show that one can indeed measure the electromagnetic vector potential using the notion of weak value. We show that it is simply the difference between the weak value of the canonical momentum of a charged particle in the presence and absence of magnetic field. This suggests that the vector potential is not only a physical entity but can be measured directly in the experiment.

arXiv:1602.04140•Feb 12, 2016•2 citations

Uniqueness and Nondynamic Physical Effect of Electromagnetic Potential and the Special Relativity

Shao Jian-jun

Basic physical meaning and uniqueness of electromagnetic potential are verified from classical electrodynamics and the special relativity; Nondynamic Physical effects of electro-magnetic potential are verified from quantum mechanical analyses; The A-B effect and Landau levels are studied.

•Jan 1, 2002•0 citations

Reinterpreation Vector A in Quantum Mechanics

Yonghong Gu

This text introduces the electromagnetism AB effect by quoting an experiment done by Chambers R.G.of England.According to the basic concept of the quantum theory,we compute the ambulatory value of two kinds of interference.Its calculation is completely equal to the experiment data.So we can conclude vector A has the basic physics meaning and the certain phyusics effect in quantum theories.Therefore,vector A has directly effect on electronic dynamics behavior in outside magnetic field.In order to understand that vector A is a basic physics entity,vector A is redefined as a new physical entity as the definition of E and B.

Chongqing Shifan Daxue xuebao. Ziran kexue ban•Jan 1, 2004•0 citations

An introduction to the vector potential

Daniele Iencinella, Gioṙgio Matteucci

We present a review and discussion of the physical meaning of the vector potential in electromagnetism by means of a classical experiment in which a long solenoid, connected to a sinusoidal voltage supply, produces an electric field and a vector potential in a circuit exterior to the solenoid itself. Some basic considerations are recalled concerning the meaning of action-at-a-distance and local description, in terms of 'real fields' of the induced electromotive force on the circuit outside the solenoid. From this viewpoint the roles played by the magnetic field, the electric field and the vector potential to account for the physical effects are reviewed. Finally, the connections between these considerations and the magnetic Aharonov–Bohm effect are recalled in the light of recent theoretical work aimed at explaining the Aharonov–Bohm phase shift in terms of the magnetic field without resorting to the vector potential.

European Journal of Physics•Jan 6, 2004•28 citations

Electromagnetic interactions

Kenichi Konishi, Giampiero Paffuti

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.

•Mar 5, 2009•0 citations
It is generally believed that only circuit value of electro-magnet vec tor-potential A has physics meaning while value A on each point does not.From t he perspective of energy and momentum of field,through direct observance of expe riments on the basis of quantum mechanics, the writer of this article proposes t hat A should be a quantum with physics meaning.
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.
Electromagnetic vector potential has physical significance in quantum mechanics as revealed by the Aharonov-Bohm effect for charged particles. However, till date it is thought that we cannot measure the vector potential directly as this is not a gauge invariant quantity. Contrary to this belief, here we show that one can indeed measure the electromagnetic vector potential using the notion of weak value. We show that it is simply the difference between the weak value of the canonical momentum of a charged particle in the presence and absence of magnetic field. This suggests that the vector potential is not only a physical entity but can be measured directly in the experiment.
This text introduces the electromagnetism AB effect by quoting an experiment done by Chambers R.G.of England.According to the basic concept of the quantum theory,we compute the ambulatory value of two kinds of interference.Its calculation is completely equal to the experiment data.So we can conclude vector A has the basic physics meaning and the certain phyusics effect in quantum theories.Therefore,vector A has directly effect on electronic dynamics behavior in outside magnetic field.In order to understand that vector A is a basic physics entity,vector A is redefined as a new physical entity as the definition of E and B.
We present a review and discussion of the physical meaning of the vector potential in electromagnetism by means of a classical experiment in which a long solenoid, connected to a sinusoidal voltage supply, produces an electric field and a vector potential in a circuit exterior to the solenoid itself. Some basic considerations are recalled concerning the meaning of action-at-a-distance and local description, in terms of 'real fields' of the induced electromotive force on the circuit outside the solenoid. From this viewpoint the roles played by the magnetic field, the electric field and the vector potential to account for the physical effects are reviewed. Finally, the connections between these considerations and the magnetic Aharonov–Bohm effect are recalled in the light of recent theoretical work aimed at explaining the Aharonov–Bohm phase shift in terms of the magnetic field without resorting to the vector potential.