# Significance of Electromagnetic Potentials in the Quantum Theory

@article{Aharonov1959SignificanceOE, title={Significance of Electromagnetic Potentials in the Quantum Theory}, author={Yakir Aharonov and David Bohm}, journal={Physical Review}, year={1959}, volume={115}, pages={485-491} }

In this paper, we discuss some interesting properties of the electromagnetic potentials in the quantum domain. We shall show that, contrary to the conclusions of classical mechanics, there exist effects of potentials on charged particles, even in the region where all the fields (and therefore the forces on the particles) vanish. We shall then discuss possible experiments to test these conclusions; and, finally, we shall suggest further possible developments in the interpretation of the… Expand

#### 4,581 Citations

Nonlocal effects in classical and quantum theories

- Physics
- 1967

Abstract Quantum effects of electromagnetic potentials are analyzed further. It is shown that other theories, both classical and quantum mechanical, exhibit analogous effects. Examples from classical… Expand

New Developments in Electromagnetic Field Theory

- Physics
- 2002

Conventional electromagnetic theory and quantum mechanics have been very successful in their applications to numerous problems in physics. Nevertheless there are questions leading to difficulties… Expand

The structure of the electromagnetic field as derived from first principles

- Physics
- 2001

The physical origin of the coupling between the electromagnetic field and electrically charged particles is rooted in quantum physics, and is thus not directly accessible to classical… Expand

Induced electric dipole in a quantum ring

- Physics
- 2013

Abstract In this contribution, we investigate the quantum dynamics of a neutral particle confined in a quantum ring potential. We use two different field configurations for induced electric dipole in… Expand

Quantum theory of fields and origin of gravity

- Physics
- 1986

The unification of the quantum theory of fields and general relativity is supposed possible on the basis of Sakharov's hypothesis that gravity results from variations in vacuum fluctuations. It is… Expand

Modular variables in quantum theory

- Physics
- 1969

The non-local aspects of interaction between quantum systems are investigated. These aspects are particularly conspicuous in quantum phenomena without a classical analog, such as the quantum effects… Expand

The Maxwell-Lodge effect: Significance of electromagnetic potentials in the classical theory

- Physics
- 2008

The Aharonov-Bohm effect has been the starting point of the reconsideration of the reality of the vector potential within quantum physics. We argue that the Maxwell-Lodge effect is its classical… Expand

Quantum Theory of Free Electromagnetic Fields

- Physics
- 1998

From the lectures on classical electrodynamics we know Maxwell’s equations as the basic equations describing all classical electromagnetic phenomena. To account for quantum effects the Maxwell… Expand

Electromagnetic effects in the quantum interference of dipoles

- Physics
- 1989

Abstract The phase shift in the interference of a magnetic or electric dipole due to the electromagnetic field is obtained relativistically and non-relativistically. This is analogous to the… Expand

REMARKS ON SOME QUANTUM EFFECTS IN A GLOBAL MONOPOLE SPACE–TIME

- Physics
- 2001

We study the behaviour of a nonrelativistic quantum particle interacting with the Kratzer molecular potential in the space–time of a global monopole. We find the energy spectrum and derive the… Expand