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The canonical Aharonov-Bohm effect is usually studied with time-independent potentials. In this work, we investigate the Aharonov-Bohm phase acquired by a charged particle moving in {\it time-dependent} potentials . In particular, we focus…

High Energy Physics - Theory · Physics 2015-09-29 Max Bright , Douglas Singleton , Atsushi Yoshida

The motion of a system of particles under electromagnetic interaction is considered. Under the assumption that the force acting on an electric charge is given by the sum of the electromagnetic fields produced by any other charged particles…

General Physics · Physics 2007-05-23 O. Chavoya-Aceves

We consider different schemes for the electrodynamic Aharonov-Bohm (AB) effect introduced in Ref. [Phys. Rev. A $\mathbf{108}$, 062218 (2023)], exploring the phenomenon to enhance the understanding of its topological nature in spacetime. In…

Quantum Physics · Physics 2025-07-08 Pablo L. Saldanha , Herman Batelaan

The Aharonov-Bohm (AB) effect is considered in the context of Generalized Electrodynamics (GE) by Podolsky and Bopp. GE is the only extension to Maxwell electrodynamics that is locally {\normalsize{}U(1)}-gauge invariant, admits linear…

Quantum Physics · Physics 2024-07-09 C. A. M. de Melo , B. M. Perez , J. C. Sumire Esquia , R. R. Cuzinatto

We propose a theoretical model to study the single-electron spectra of the concentric quantum double ring fabricated lately by self-assembled technique. Exact diagonalization method is employed to examine the Aharonov-Bohm effect in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 G. Y. Chen , Y. N. Chen , D. S. Chuu

Very much like the ubiquitous quantum interference of a single particle with itself, quantum interference of two independent, but indistinguishable, particles is also possible. This interference is a direct result of quantum exchange…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Neder , N. Ofek , Y. Chung , M. Heiblum , D. Mahalu , V. Umansky

In systems with the spin-charge separation, the period of the Aharonov-Bohm (AB) oscillation becomes half of the flux quantum. This effect is at least related to the fact that for the creation of the holons (spinons) are needed two…

Condensed Matter · Physics 2007-05-23 F. V. Kusmartsev

The Aharonov-Bohm scattering amplitude is calculated in the context of planar gravity with localized sources which also carry a magnetic flux. These sources cause space-time to develop conical singularities at their location, thus…

General Physics · Physics 2009-10-31 Marcos Alvarez

Following semiclassical arguments by Vaidman we show, for the first time in a fully quantum mechanical way, that the phase shifts arising in the Aharonov Bohm (A-B) magnetic or electric effects can be treated as due to the electric force of…

Quantum Physics · Physics 2017-05-31 Philip Pearle , Anthony Rizzi

Recent experiments with the Aharonov-Bohm geometry have shown that, in addition to an electron-interference fringe shift, there is also a lateral displacement of the electron diffraction envelope. In this paper, we derive a displacement…

Classical Physics · Physics 2021-10-08 Keith J. Kasunic

The electronic states and optical transitions of a ZnO quantum ring containing few interacting electrons in an applied magnetic field are found to be very different from those in a conventional semiconductor system, such as a GaAs ring. The…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Tapash Chakraborty , Aram Manaselyan , Manuk Barseghyan

We report a study of the Aharonov-Bohm effect, the oscillations of the resistance of a mesoscopic ring as a function of a perpendicular magnetic field, in a GaAs two-dimensional hole system with a strong spin-orbit interaction. The Fourier…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jeng-Bang Yau , E. P. De Poortere , M. Shayegan

The point-particle-like Hamiltonian of a biaxial spin particle with external magnetic field along the hard axis is obtained in terms of the potential field description of spin systems with exact spin-coordinate correspondence. The Zeeman…

Condensed Matter · Physics 2016-08-15 J. -Q. Liang , H. J. W. Müller-Kirsten , D. K. Park , F. -C. Pu

Aharonov-Bohm (AB) effect, the well-known archetype of electron-wave interference phenomena, has been explored extensively through transport measurements. However, these techniques lack spatial resolution that would be indispensable for…

Mesoscale and Nanoscale Physics · Physics 2021-02-02 Yi-Wen Liu , Ya-Ning Ren , Chen-Yue Hao , Lin He

The scattering of spin-polarized electrons in an Aharonov--Bohm vector potential is considered. We solve the Pauli equation in 3+1 dimensions taking into account explicitly the interaction between the three-dimensional spin magnetic moment…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Khalilov , Choon-Lin Ho

In this work we study modifications in the Aharonov-Bohm effect for relativistic spin 1/2 particles due to the noncommutativity of spacetime in $2 + 1$ dimensions. The noncommutativity gives rise to a correction to the Aharonov-Bohm…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , C. A. Stechhahn

The Schrodinger formalism of quantum mechanics is used to demonstrate the existence of the Aharonov-Bohm effect in momentum space and set-ups for experimentally demonstrating it are proposed for either free or ballistic electrons.

Quantum Physics · Physics 2007-05-23 D. Dragoman , S. Bogdan

One of the key features of the Majorana bound states emerging in topological superconducting (SC) wires is increasing oscillations of their energy under the growth of magnetic field or chemical potential due to concomitant enhancement of…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 S. V. Aksenov

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

Spinor fields are written in polar form so as to compute their tensorial connection, an object that contains the same information of the connection but which is also proven to be a real tensor. From this, one can still compute the Riemann…

General Physics · Physics 2020-04-28 Luca Fabbri , Flora Moulin , Aurélien Barrau
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