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The problem of the relation between the Ahronov-Bohm effect and traditional postulates of electrodynamics, which claim that only electric and magnetic fields are observable, is resolved by denial of the statement about validity of the…

Quantum Physics · Physics 2013-07-01 V. B. Bobrov , S. A. Trigger , G. J. F. van Heijst , P. P. J. M. Schram

Particle motion in the fields of Aharonov-Bohm and Aharonov-Casher is considered in framework of the classical theory to reveal conditions admitting duality of the two configurations. Important role of orientation of the magnetic dipole…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ya. I. Azimov , R. M. Ryndin

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

In this paper it is presented a manifestly covariant formulation of the Aharonov-Bohm (AB) phase difference for the magnetic AB effect . This covariant AB phase is written in terms of the Faraday 2-form F and using the decomposition of F in…

General Physics · Physics 2015-05-22 Tomislav Ivezic

The Aharonov-Bohm effect is measured in a four-terminal open ring geometry based on a Ga[Al]As heterostructure. Two quantum dots are embedded in the structure, one in each of the two interfering paths. The number of electrons in the two…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Sigrist , A. Fuhrer , T. Ihn , K. Ensslin , S. E. Ulloa , W. Wegscheider , M. Bichler

The locality principle fulfillment in the Aharonov-Bohm (AB) effect is analyzed from the point of view of a self-sufficient potential formalism based on so-called gradient hypothesis in electrodynamics. The "magnetic" kind of AB effect is…

General Physics · Physics 2013-07-02 Alexander Gritsunov , Natalie Masolova

The orbital motion of chargeless bosons, unlike that of electrons, does not generate a magnetic moment and thus cannot directly interact with magnetic fields. To formulate the orbital angular momentum (OAM) of magnons, we first identify its…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Junyu Tang , Ran Cheng

The Aharonov-Bohm effect including spin-noncommutative effects is considered. At linear order in $\theta$, the magnetic field is gauge invariant although spatially strongly anisotropic. Despite this anisotropy, the Schr\"odinger-Pauli…

High Energy Physics - Theory · Physics 2011-08-12 A. Das , H. Falomir , J. Gamboa , F. Mendez , M. Nieto

Hamilton-Jacobi equation which governs classical mechanics and electrodynamics explicitly depends on the electromagnetic potentials (A,{\phi}), similar to Schroedinger equation. We derived the Aharonov-Bohm effect from Hamilton-Jacobi…

Quantum Physics · Physics 2013-04-11 Alexander Ershkovich

Decades ago, Aharonov and Bohm showed that electrons are affected by electromagnetic potentials in the absence of forces due to fields. Zeilinger's theorem describes this absence of classical force in quantum terms as the "dispersionless"…

Quantum Physics · Physics 2019-08-16 Maria Becker , Giulio Guzzinati , Béché Armand , Johan Verbeeck , Herman Batelaan

The time-dependent Aharonov-Bohm (AB) effect considers the situation in which the magnetic flux inside the solenoid changes time-dependently. Different from the standard AB-effect, the problem is unexpectedly subtle and not easy to solve…

Quantum Physics · Physics 2025-03-04 Masashi Wakamatsu

The shift in Aharanov-Bohm electron-interference fringe positions has been previously derived as resulting from phase differences induced by the magnetic vector potential, without being clear on the physical mechanism behind it. In this…

Quantum Physics · Physics 2019-12-05 Keith J. Kasunic

We show that Aharonov-Bohm (AB) oscillations in the magnetic moment of an integrable ballistic quantum dot can be destroyed by a time dependent magnetic flux. The effect is due to a nonequilibrium population of perfectly coherent electronic…

Condensed Matter · Physics 2009-10-22 T. Swahn , E. N. Bogachek , Yu. M. Galperin , M. Jonson , R. I. Shekhter

The Aharonov-Bohm effect is investigated in two-dimensional, single-terminal quantum rings in magnetic fields by using time-dependent density-functional theory. We find multiple transport loops leading to the oscillation periods of h/(en),…

Strongly Correlated Electrons · Physics 2010-06-22 V. Kotimaki , E. Rasanen

The Aharonov-Bohm (AB) effect for the singular string associated with the Dirac monopole carrying an arbitrary magnetic charge is studied. It is shown that the emerging difficulties in explanation of the AB effect may be removed by…

High Energy Physics - Theory · Physics 2012-11-15 Alexander I. Nesterov

A quantum particle interacting with a thin solenoid and a magnetic flux is described by a five-parameter family of Hamilton operators, obtained via the method of self-adjoint extensions. One of the parameters, the value of the flux,…

Mathematical Physics · Physics 2015-06-26 L. Dabrowski , P. Stovicek

This paper states that the induced charge should not be neglected in the electric Aharonov-Bohm effect. If the induced charge is taken into account, the interference pattern of the moving charge will not change with the potential difference…

Quantum Physics · Physics 2014-09-25 Rui-Feng Wang

We investigate the analogue effect of the Aharonov-Bohm effect for bound states in two relativistic quantum systems in a spacetime with a space-like dislocation. We assume that the topological defect has an internal magnetic flux. Then, we…

Quantum Physics · Physics 2018-01-17 R. L. L. Vitoria , K. Bakke

The Aharonov-Bohm (AB) effect is an important discovery of quantum theory. It serves as a surprising quantum phenomenon in which an electrically charged particle can be affected by an electromagnetic potential, despite being confined to a…

Quantum Physics · Physics 2023-11-10 Jing-Ling Chen , Xing-Yan Fan , Xiang-Ru Xie

The magnetic version of the effects commonly attributed to Aharonov and Bohm had been published ten years earlier by Ehrenberg and Siday. We compare the two articles, and conclude that their essential contents are identical. We therefore…

History and Philosophy of Physics · Physics 2009-10-13 Peter A. Sturrock , Timothy R. Groves
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