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Recent neutron interferometry experiments have been interpreted as demonstrating a new topological phenomenon similar in principle to the usual Aharonov-Bohm (AB) effect, but with the neutron's magnetic moment replacing the electron's…

量子物理 · 物理学 2009-10-28 Murray Peshkin , H. J. Lipkin

The spectral properties of the Dirac Hamiltonian in the the Aharonov-Bohm potential are discussed. By using the Krein-Friedel formula, the density of states (DOS) for different self-adjoint extensions is calculated. As in the…

高能物理 - 理论 · 物理学 2009-10-28 Alexander Moroz

We study the noncommutative corrections on the time-dependent Aharonov-Bohm effect when both the coordinate-coordinate and momentum-momentum noncommutativities are considered. This study is motivated by the recent observation that there is…

高能物理 - 唯象学 · 物理学 2017-06-28 Kai Ma , Jian-Hua Wang , Huan-Xiong Yang

Multi-terminal Aharonov-Bohm (AB) rings are ideal building blocks for quantum networks (QNs) thanks to their ability to map input states into controlled coherent superpositions of output states. We report on experiments performed on…

介观与纳米尺度物理 · 物理学 2010-05-24 E. Strambini , V. Piazza , G. Biasiol , L. Sorba , F. Beltram

The formulation of Berry for the Aharonov-Bohm effect is generalized to the relativistic regime. Then, the problem of finding the self-adjoint extensions of the (2+1)-dimensional Dirac Hamiltonian, in an Aharonov-Bohm background potential,…

高能物理 - 理论 · 物理学 2009-10-30 H. O. Girotti , F. Fonseca Romero

The Aharonov-Bohm (AB) effect is a purely quantum mechanical effect. The original (classified as Type-I) AB-phase shift exists in experimental conditions where the electromagnetic fields and forces are zero. It is the absence of forces that…

量子物理 · 物理学 2009-11-13 Adam Caprez , Brett Barwick , Herman Batelaan

We present new exact solutions (in 3+1 and 2+1 dimensions) of relativistic wave equations (Klein-Gordon and Dirac) in external electromagnetic fields of special form. These fields are combinations of Aharonov-Bohm solenoid field and some…

高能物理 - 理论 · 物理学 2007-05-23 V. G. Bagrov , D. M. Gitman , V. B. Tlyachev

We propose and theoretically investigate the behavior of a ballistic Aharonov-Bohm (AB) ring when embedded in a N-S two-terminal setup, consisting of a normal metal (N) and superconducting (S) leads. This device is based on available…

介观与纳米尺度物理 · 物理学 2023-02-10 Gianmichele Blasi , Francesco Giazotto , Géraldine Haack

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,…

数学物理 · 物理学 2015-06-26 L. Dabrowski , P. Stovicek

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

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…

介观与纳米尺度物理 · 物理学 2007-05-23 Yoichi Tanaka , Norio Kawakami

In this paper, it is emphasized that the dynamical cause for the A-B effect is the superimposed energy between the magnetic field produced by the moving charges and that in the solenoid, instead of the existence of the vector potential. If…

量子物理 · 物理学 2014-09-19 R. F. Wang

We show that the standard Dirac phase factor is not the only solution of the gauge transformation equations. The full form of a general gauge function (that connects systems that move in different sets of scalar and vector potentials),…

量子物理 · 物理学 2015-05-20 Konstantinos Moulopoulos

Tunneling conductance of an Aharonov-Bohm circuit including two quantum dots is calculated based on the general expression of the conductance in the linear response regime of the bias voltage. The calculation is performed in a wide…

介观与纳米尺度物理 · 物理学 2009-10-30 Wataru Izumida , Osamu Sakai , Yukihiro Shimizu

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…

量子物理 · 物理学 2024-01-30 Pablo L. Saldanha

Exact analytic solutions are found for the Dirac equation in 2+1 dimensions for a spin-one-half particle in a combination of the Lorentz 3-vector and scalar Coulomb as well as Aharonov--Bohm potentials. We employ the two-component Dirac…

高能物理 - 理论 · 物理学 2008-12-16 V. R. Khalilov , Choon-Lin Ho

The most popular interpretation of the Aharonov-Bohm (AB) effect is that the electromagnetic potential locally affects the complex phase of a charged particle's wave function in the magnetic field free region. However, since the vector…

量子物理 · 物理学 2025-06-10 Masashi Wakamatsu

It is well-known that the electric and magnetic Aharonov-Bohm effects may be formally described on equal footing using the four-vector potential in a relativistic framework. We propose an illustrative manifestation of both effects in a…

量子物理 · 物理学 2009-11-13 Samuel Marcovitch , Yakir Aharonov , Tirza Kaufferr , Benni Reznik

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…

量子物理 · 物理学 2023-09-14 RY Chiao , H Hart , NA Inan , M Scheibner , J Sharping , DA Singleton , ME Tobar

In this work, we investigate the quantum motions of non-relativistic particles interacting with a potential in the presence of the Aharonov-Bohm (AB) flux field within a topological defect geometry, for example, space-time with a distortion…

量子物理 · 物理学 2024-02-13 Prabir Rudra , Faizuddin Ahmed , Houcine Aounallah