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The formulation of noncommutative quantum mechanics as a quantum system represented in the space of Hilbert-Schmidt operators is used to systematically derive, using the standard time slicing procedure, the path integral action for a…

高能物理 - 理论 · 物理学 2014-02-11 Sunandan Gangopadhyay , Frederik G Scholtz

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…

量子物理 · 物理学 2015-06-05 Scot McGregor , Ryan Hotovy , Adam Caprez , Herman Batelaan

We study the spin-dependent magneto conductance in mesoscopic rings subject to an inhomogeneous in-plane magnetic field. We show that the polarization direction of transmitted spin-polarized electrons can be controlled via an additional…

介观与纳米尺度物理 · 物理学 2009-11-07 Diego Frustaglia , Martina Hentschel , Klaus Richter

A new classical electromagnetic analysis is presented suggesting that the Aharonov-Bohm phase shift is overwhelmingly likely to arise from a classical lag effect based upon classical electromagnetic forces. The analysis makes use of several…

经典物理 · 物理学 2014-08-27 Timothy H. Boyer

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…

数学物理 · 物理学 2011-07-15 T. Kalvoda , P. Stovicek

Neutron interference measurements with macroscopic beam separation allow to study the influence of magnetic fields on spin properties. By calculating the interaction energy with a dynamic and deterministic model, we are able to establish…

量子物理 · 物理学 2007-05-23 W. A. Hofer

The analysis of a previous paper, in which it was shown that the energy for the Aharonov-Bohm effect could be traced to the interaction energy between the magnetic field of the electron and the background magnetic field, is extended to…

量子物理 · 物理学 2023-05-03 L. O'Raifeartaigh , N. Straumann , A. Wipf

We analyze recently published results about the Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields. We show that the eigenvalues obtained by the authors from…

量子物理 · 物理学 2021-04-27 Francisco M. Fernández

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…

高能物理 - 理论 · 物理学 2009-01-07 Kang Li , Sayipjamal Dulat

This paper investigates a geometric framework for the gravitational Aharonov-Bohm effect in four-dimensional spacetime, demonstrating how spacetime curvature induces nonlocal quantum phase shifts within field-free regions. By constructing…

广义相对论与量子宇宙学 · 物理学 2025-08-05 Yanhui Li , Yakefu Reyimuaji

The Aharonov-Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle in a noncommutative space. We show that the corresponding…

高能物理 - 理论 · 物理学 2009-10-07 M. Chaichian , A. Demichev , P. Presnajder , M. M. Sheikh-Jabbari , A. Tureanu

We give a direct proof of the magnetic Aharonov-Bohm effects without using the scattering theory and the theory of inverse boundary value problems. This proof can serve as a framework for a physical experiment to confirm the magnetic AB…

数学物理 · 物理学 2011-09-20 Gregory Eskin

The effect of time-varying electromagnetic fields on electron coherence is investigated. A sinusoidal electromagnetic field produces a time varying Aharonov-Bohm phase. In a measurement of the interference pattern which averages over this…

量子物理 · 物理学 2009-11-10 Jen-Tsung Hsiang , L. H. Ford

When the magnetic vector potential is expressed in terms of the magnetic field it, is found to be explicitly non-local in space. This gives support to the conclusions of Aharonov et al. in a recent comment, that the Aharonov-Bohm effect may…

量子物理 · 物理学 2016-05-19 A M Stewart

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…

量子物理 · 物理学 2014-07-21 Tomislav Ivezic

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…

高能物理 - 理论 · 物理学 2014-04-02 James Macdougall , Douglas Singleton

Although the Aharonov-Bohm and related effects are familiar in solid state and high energy physics, the nonlocality of these effects has been questioned. Here we show, for the first time, that the Aharonov-Bohm effect has two very different…

量子物理 · 物理学 2016-04-19 Yakir Aharonov , Eliahu Cohen , Daniel Rohrlich

The Aharonov-Bohm effect is a quantum mechanical phenomenon that demonstrates how potentials can have observable effects even when the classical fields associated with those potentials are absent. Initially proposed for electromagnetic…

量子物理 · 物理学 2024-09-05 Michael E Tobar , Michael T Hatzon , Graeme R Flower , Maxim Goryachev

Zeilinger's observation that phenomena of the Aharonov-Bohm type lead to nondispersive, i.e. energy-independent, phase shifts in interferometers is generalized in a new proof which shows that the precise condition for nondispersivity is a…

量子物理 · 物理学 2007-05-23 Murray Peshkin

We use a covariant formalism that is capable of describing the electric and magnetic versions of the Aharonov-Bohm effect, as well as the Aharonov-Casher effect, through local interactions of charges and currents with the quantum…

量子物理 · 物理学 2021-09-29 Pablo L. Saldanha