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We discuss the consequences of the Aharonov-Bohm effect in setups involving several charged particles, wherein none of the charged particles encloses a closed loop around the magnetic flux. We show that in such setups, the AB phase is…

Quantum Physics · Physics 2009-11-11 A. Retzker , Y. Aharonov , A. Botero , S. Nussinov , B. Reznik

We propose an electrodynamic Aharonov-Bohm (AB) scheme where a nonzero AB phase difference appears even if the interferometer paths do not enclose a magnetic flux and are subjected to negligible scalar potential differences during the…

Quantum Physics · Physics 2024-01-30 Pablo L. Saldanha

A novel version of the electric Aharonov-Bohm effect is proposed where the quantum system which picks up the Aharonov-Bohm phase is confined to a Faraday cage with a time varying, spatially uniform scalar potential. The electric and…

Quantum Physics · Physics 2023-09-14 RY Chiao , H Hart , NA Inan , M Scheibner , J Sharping , DA Singleton , ME Tobar

The magnetic Aharonov-Bohm effect shows that charged particles may be affected by the vector potential in regions without any electric or magnetic fields [1]. The Aharonov-Bohm effect was experimentally confirmed [2-3] and has been found in…

Classical Physics · Physics 2022-01-31 Gaobiao Xiao

The Aharonov-Bohm (AB) effect highlights the fundamental role of electromagnetic potentials in quantum mechanics, manifesting as a phase shift for a charged particle in field-free regions. While well-established for static magnetic fluxes,…

Quantum Physics · Physics 2026-01-27 Shan Gao

The unification of quantum mechanics and general relativity remains among the most profound challenges in fundamental physics. Here we investigate a novel quantum probe of strong-field gravity: the gravitomagnetic Aharonov-Bohm (AB) effect…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Erdem Sucu , İzzet Sakallı

The Aharonov-Bohm (AB) effect is a purely quantum mechanical effect. The original (classified as Type-I) AB-phase shift exists in experimental conditions where the electromagnetic fields and forces are zero. It is the absence of forces that…

Quantum Physics · Physics 2009-11-13 Adam Caprez , Brett Barwick , Herman Batelaan

The experimental realization of a coupled spin pair has been reported by Heiko Webber et.al and its theoretical description has been previously discussed including the condition that local magnetization of the junction is required for the…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 Juan David Vasquez Jaramillo , Erik Sjoqvist , Jonas Fransson

The phase of the wave function of charged matter is sensitive to the value of the electric potential, even when the matter never enters any region with non-vanishing electromagnetic fields. Despite its fundamental character, this archetypal…

High Energy Physics - Theory · Physics 2020-05-13 Thomas C. Bachlechner , Matthew Kleban

The Aharonov-Bohm (AB) effect is a pure quantum effect that implies a measurable phase shift in the wave function for a charged particle that encircles a magnetic flux located in a region \textit{inaccessible} to the particle. Classically,…

Quantum Physics · Physics 2022-09-23 Xiang Li , Thors Hans Hansson , Wei Ku

The analysis of the gauge principle as a mere passive symmetry requirement leads to the conclusion that the connection term in the covariant derivative is flat and that local phase transformations are without any empirical significance in…

High Energy Physics - Theory · Physics 2007-05-23 Holger Lyre

Classical electrodynamics foresees that the effective interaction force between a moving charge and a magnetic dipole is modified by the time-varying total momentum of the interaction fields. We derive the equations of motion of the…

Classical Physics · Physics 2021-05-26 Gianfranco Spavieri , George T. Gillies , Miguel E. Rodriguez , Maribel Peréz Pirela

We predict that a charge under the influence of a quantum electrodynamic potential exhibits a force-free Aharonov-Bohm effect. The specific system considered in this study is a superconducting charge qubit nonlocally interacting with a…

Quantum Physics · Physics 2015-06-29 Young-Wan Kim , Kicheon Kang

The electric Aharonov-Bohm effect -- a time-dependent scalar potential imparting a measurable phase shift on electrons in a region free of electromagnetic fields -- has never been experimentally tested in its original formulation with…

Quantum Physics · Physics 2026-05-12 Renato Vieira dos Santos

A field-interaction scheme is introduced for describing the Aharonov-Bohm effect, fully consistent with the principle of relativity. Our theory is based on the fact that local field interactions are present even when a particle moves only…

Quantum Physics · Physics 2018-08-21 Kicheon Kang

In this paper we investigate the scalar Aharonov-Bohm (AB) effect in two of its forms, i.e., its electric form and its gravitational form. The standard form of the electric AB effect involves having particles (such as electrons) move in…

In this Comment it is shown that it cannot be argued that in the magnetic AB effect there is no force acting on the particle, i.e., that the observed phase shift is entirely due to nonzero vector potential. In stationary resistive…

Quantum Physics · Physics 2014-07-21 Tomislav Ivezic

As a consequence of the Aharonov-Bohm effect, there is a quantum-induced attraction between a charged particle and a rigid, impenetrable hoop made from an arbitrarily thin tube containing a superconductor quantum of magnetic flux. This is…

Quantum Physics · Physics 2007-05-23 Alfred Scharff Goldhaber , Ryan Requist

It has been suggested that the magnetic Aharonov-Bohm effect can be interpreted equally well as being due to a phase shift associated with an electron in an interferometer enclosing a magnetic flux, or as a phase shift associated with the…

Quantum Physics · Physics 2025-10-14 J. D. Franson

We study novel types of contributions to the partition function of the Maxwell system defined on a small compact manifold. These contributions, often not addressed in the perturbative treatment with physical photons, emerge as a result of…

High Energy Physics - Theory · Physics 2016-03-30 ChunJun Cao , Yuan Yao , Ariel R. Zhitnitsky
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