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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

We reexamine the topological and nonlocal natures of the Aharonov-Casher and scalar Aharonov-Bohm phase effects. The underlying U(1) gauge structure is exhibited explicitly. And the conditions for developing topological Aharonov-Casher and…

Quantum Physics · Physics 2012-03-26 Sayipjamal Dulat , Kai Ma

The relation of the Aharonov-Casher (AC) effect and the force on a particle having a magnetic moment is explored. The general form of the AC Hamiltonian is derived using the Foldy-Wouthuysen transformation to the Dirac equation. Geometries…

Quantum Physics · Physics 2025-06-16 Igor Kuzmenko , Y. B. Band , Yshai Avishai

We investigate the electromagnetic fields produced by the oscillating point electric or magnetic dipole placed in a spherical volume with nonzero time-independent effective axion field. Our analytical solution shows that the fields outside…

Optics · Physics 2023-05-12 Timur Seidov , Maxim Gorlach

We analytically calculate the spin-dependent electronic conductance through a one-dimensional ballistic ring in the presence of an inhomogeneous magnetic field and identify signatures of geometric and Berry phases in the general…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Martina Hentschel , Henning Schomerus , Diego Frustaglia , Klaus Richter

In this paper, We analyze a spin-zero relativistic quantum oscillator in the presence of the Aharonov-Bohm (AB) magnetic flux in a space-time background produced by a point-like global monopole (PGM). Afterward, we introduce a static…

High Energy Physics - Theory · Physics 2022-05-26 Faizuddin Ahmed

Recent literature on the Aharonov-Bohm effect has raised fundamental questions on the classical correspondence of this effect and the physical reality of the electromagnetic potentials in quantum mechanics. Reappraisal on Feynman's approach…

General Physics · Physics 2018-05-15 S. C. Tiwari

By means of Monte Carlo simulation with local spin update Metropolis algorithm, we have elucidated non-equilibrium phase transition properties and stationary-state treatment of a disordered binary ferromagnetic alloy of the type…

Statistical Mechanics · Physics 2015-04-14 Erol Vatansever , Hamza Polat

The basic AB problem is to determine how an unshielded tube of magnetic flux $\Phi$ affects arbitrarily long-wavelength charged particles impinging on it. For spin-1 at almost all $\Phi$ the particles do not penetrate the tube, so the…

High Energy Physics - Theory · Physics 2011-07-19 M. L. Horner , Alfred S. Goldhaber

The time dependent Schrodinger equation inclusive of curvature effects is developed for a spinless electron constrained to motion on a toroidal surface and subjected to circularly polarized and linearly polarized waves in the microwave…

Classical Physics · Physics 2007-05-23 M. Encinosa , M. Jack

Topological magnetic textures confined to two-dimensional (2D) non-orientable manifolds exhibit behaviors absent in planar systems. We investigate bimerons on M\"obius surfaces and show that the lack of global orientation alters…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Carlos Saji , Mario A. Castro , Vagson L. Carvalho-Santos , Eduardo Saavedra , Alvaro S. Nunez , Roberto E. Troncoso

We investigate the electronic structure and properties of atoms exposed to a magnetic quadrupole field. The spin-spatial as well as generalized time reversal symmetries are established and shown to lead to a two-fold degeneracy of the…

Atomic Physics · Physics 2007-05-23 Igor Lesanovsky , Joerg Schmiedmayer , Peter Schmelcher

A theoretical technique which allows to include contributions from non-orthogonality of the electron states in the leads connected to a tunneling junction is derived. The theory is applied to a single barrier tunneling structure and a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Fransson , O. Eriksson , I. Sandlov

Two-dimensional electron systems with spin-orbit coupling in the proximity of a superconductor and a magnetic insulator have recently been considered as promising candidates to realize topological superconducting phases. Here we discuss…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Teemu Ojanen , Takuya Kitagawa

The Aharonov-Bohm effect is traditionally attributed to the effect of the electromagnetic 4-potential $A$, even in regions where both the electric field $\mathbf{E}$ and the magnetic field $\mathbf{B}$ are zero. The AB effect reveals that…

Mathematical Physics · Physics 2015-05-18 Y. Friedman , V. Ostapenko

The Aharonov-Bohm (AB) effect in non-commutative quantum mechanics (NCQM) is studied. First, by introducing a shift for the magnetic vector potential we give the Schr$\ddot{o}$dinger equations in the presence of a magnetic field on NC space…

High Energy Physics - Theory · Physics 2009-01-07 Kang Li , Sayipjamal Dulat

The magnetic Aharonov-Bohm (A-B) effect occurs when a point charge interacts with a line of magnetic flux, while its dual, the Aharonov-Casher (A-C) effect, occurs when a magnetic moment interacts with a line of charge. For the two…

Quantum Physics · Physics 2015-06-05 Scot McGregor , Ryan Hotovy , Adam Caprez , Herman Batelaan

We use the Landauer-B\"{u}ttiker formalism to study the mesoscopic Fano effect in Aharonov-Bohm rings with an embedded two-dimensional noninteracting dot. The magnetic field dependence of the dot levels leads to a global shift of the Fano…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Valeriu Moldoveanu , Mugurel Ţolea , Vidar Gudmundsson , Andrei Manolescu

We study a field-theoretical analogue of the Aharonov-Bohm effect in two-, three- and four-dimensional Abelian Higgs models; the corresponding topological interaction is proportional to the linking number of the Abrikosov vortex and the…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov

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