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The quantum description of an atom with a magnetic quadrupole moment in the presence of a uniform effective magnetic field is analysed. The atom is also subject to rotation and a scalar potential proportional to the inverse of the radial…

Quantum Physics · Physics 2017-05-26 I. C. Fonseca , K. Bakke

It is shown that relative coordinate and momentum of coherent electron pair have the meaning of observables with the help of quadrupole and magnetic moments. Distributions of quadrupole terms of scalar potential are shown. These…

Quantum Physics · Physics 2007-05-23 Constantin V. Usenko , Nataliia O. Cherkashyna

The effect of an Aharonov-Bohm (AB) pseudo magnetic field on a two dimensional electron gas in graphene is investigated. We consider it modeled as in the usual AB effect but since such pseudo field is supposed to be induced by elastic…

Mesoscale and Nanoscale Physics · Physics 2016-11-01 Cleverson Filgueiras , Rosinildo Fidelis , Diego Cogollo , Edilberto O. Silva

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

Stokes' theorem is investigated in the context of the time-dependent Aharonov-Bohm effect -- the two-slit quantum interference experiment with a time varying solenoid between the slits. The time varying solenoid produces an electric field…

High Energy Physics - Theory · Physics 2014-04-02 James Macdougall , Douglas Singleton

We consider a nonrelativistic quantum charged particle moving on a plane under the influence of a uniform magnetic field and driven by a periodically time-dependent Aharonov-Bohm flux. We observe an acceleration effect in the case when the…

Mathematical Physics · Physics 2011-07-15 T. Kalvoda , P. Stovicek

We investigate the Aharonov-Bohm (AB) effect for the double quantum dots in the Kondo regime using the slave-boson mean-field approximation. In contrast to the non-interacting case, where the AB oscillation generally has the period of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Tanaka , Norio Kawakami

It is proved that the phase shift of a polarized neutron interacting with a spatially uniform time-dependent magnetic field, demonstrates the same physical principles as the magnetic Aharonov-Bohm effect. The crucial role of inert objects…

Quantum Physics · Physics 2009-10-31 E. Comay

Primakoff effect offers us with a way to determine the radiative decay width of pseudo-scalar mesons when they are photo-produced in the electromagnetic field of hadronic systems. Taking advantage of recent developments in the Regge…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. M. Laget

We add a confining potential to the Aharonov-Bohm model resulting in no contact of the particle with the solenoid (border); this is characterized by a unique self-adjoint extension of the initial Hamiltonian operator. It is shown that the…

Mathematical Physics · Physics 2017-11-20 Cesar R. de Oliveira , Renan G. Romano

The non-stationary Aharonov-Bohm effect (scattering of electron in the field of a narrow solenoid with alternating current) is considered. Using the eikonal approximation, the wave function of electron, the differential and total scattering…

Atomic Physics · Physics 2024-12-23 A. I. Milstein , I. S. Terekhov

We study the effect of a time-varying solenoidal vector potential for a quantum particle confined to a ring. The setup appears to be a time-varying version of the Aharonov-Bohm effect, but since the particle moves in the presence of fields,…

Quantum Physics · Physics 2025-12-19 Patrick Hinrichs , Douglas Singleton , Nader Inan

Aharonov-Bohm (AB) caging is the complete wavefunction localization effect in translational-invariant lattices induced by destructive phase interference. These phases originate from the gauge fields such as the penetrated magnetic fields,…

Quantum Physics · Physics 2026-05-25 Le-Chuan Wang , Sai Li , Jia Liu , Zheng-Yuan Xue

A solenoid oscillating in vacuum will pair produce charged particles due to the Aharonov-Bohm (AB) interaction. We calculate the radiation pattern and power emitted for charged scalar particles. We extend the solenoid analysis to cosmic…

High Energy Physics - Theory · Physics 2010-11-01 Katherine Jones-Smith , Harsh Mathur , Tanmay Vachaspati

The Aharonov-Bohm effect is a physical phenomenon where the vector potential induces a phase shift of electron wavepackets in regions with zero magnetic fields. It is often referred to as evidence for the physical reality of the vector…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Francesco Di Colandrea , Nazanin Dehghan , Filippo Cardano , Alessio D'Errico , Ebrahim Karimi

We briefly review the theoretical formulations and applications of the Aharonov--Bohm effect and the Aharonov--Casher effect with emphasis on mesoscopic physics. Topics relating to the Aharonov--Bohm effect include: locality, periodicity,…

Mesoscale and Nanoscale Physics · Physics 2023-02-21 Y. Avishai , Y. B. Band

The creation of charged fermions from the vacuum by a Coulomb field in the presence of an Aharonov--Bohm (AB) potential are studied in 2+1 dimensions. The process is governed by a (singular) Dirac Hamiltonian that requires the supplementary…

High Energy Physics - Phenomenology · Physics 2013-09-10 V. R. Khalilov

The adiabatic Aharonov-Bohm (AB) effect is a manifestation of the Berry phase acquired when some slow variables take a planar spin around a loop. While the effect has been observed in molecular spectroscopy, direct measurement of the…

Quantum Physics · Physics 2015-11-16 Erik Sjöqvist , Martin Almquist , Ken Mattsson , Zeynep Nilhan Gürkan , Björn Hessmo

This study looks at the confinement effects of Aharonov-Bohm (AB) flux and magnetic fields, as well as topological defects in a quantum plasma, on the hydrogen atom. The joint effects show that the system is extremely attractive.…

Plasma Physics · Physics 2022-03-17 C. O. Edet , A. N. Ikot

We provide a theoretical study of a new family of orthogonal functions on the punctured complex plane solving the eigenvalue problems for some magnetic Laplacian perturbed by a singular vector potential with zero magnetic field modeling the…

Mathematical Physics · Physics 2022-11-29 Hajar Dkhissi , Allal Ghanmi