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In this paper, we study the influence of the Aharonov-Casher effect [Y. Aharonov and A. Casher, Phys. Rev. Lett. 53, 319 (1984).] on the Dirac oscillator in three different scenarios of general relativity: the Minkowski spacetime, the…

Quantum Physics · Physics 2013-07-11 K. Bakke , C. Furtado

We consider a charged particle moving in a two dimensional plane in the presence of a background magnetic field perpendicular to the plane, i.e. the Landau system in a phase-space where the coordinates and momenta both follow canonical…

High Energy Physics - Theory · Physics 2017-01-04 Sunandan Gangopadhyay , Anirban Saha , Aslam Halder

We study the time-dependent transport of charge and spin through a ring-shaped region sequentially coupled to a weakly interacting quantum dot in the presence of an Aharonov-Bohm flux and spin-orbit interaction. The time-dependent…

Mesoscale and Nanoscale Physics · Physics 2009-01-09 F. Romeo , R. Citro , M. Marinaro

We have studied particle motion in generalized forms of noncommutative phase space, that simulate monopole and other forms of Berry curvature, that can be identified as effective internal magnetic fields, in coordinate and momentum space.…

High Energy Physics - Theory · Physics 2008-11-26 B. Basu , Subir Ghosh , S. Dhar

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…

High Energy Physics - Theory · Physics 2014-02-11 Sunandan Gangopadhyay , Frederik G Scholtz

In this paper, we study the influence of topological and noninertial effects on a Dirac particle confined in an Aharonov-Bohm (AB) ring. Next, we explicitly determine the Dirac spinor and the energy spectrum for the relativistic bound…

High Energy Physics - Theory · Physics 2019-10-02 R. R. S. Oliveira

The time reversal Aharonov-Casher (AC) interference effect in the mesoscopic ring structures, based on the experiment in Phys. Rev. Lett. \textbf{97}, 196803 (2006), is studied theoretically. The transmission curves are calculated from the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Zhenyue Zhu , Yong Wang , Ke Xia , X. C. Xie , Zhongshui Ma

The Aharonov-Bohm (AB) effect is an important discovery of quantum theory. It serves as a surprising quantum phenomenon in which an electrically charged particle can be affected by an electromagnetic potential, despite being confined to a…

Quantum Physics · Physics 2023-11-10 Jing-Ling Chen , Xing-Yan Fan , Xiang-Ru Xie

In this work, we study the Aharonov-Casher effect in the $(2+1)$-dimensional Dirac oscillator coupled to an external electromagnetic field. We set up our system in two different scenarios: in the Minkowski spacetime and the cosmic string…

Quantum Physics · Physics 2018-10-29 R. R. S. Oliveira , R. V. Maluf , C. A. S. Almeida

This work presents exact solutions of the Kemmer equation for spin-1 particles in $(1+1)$-dimensional Rindler spacetime, motivated by the need to understand vector bosons under uniform acceleration, including non-inertial effects and the…

General Relativity and Quantum Cosmology · Physics 2025-11-26 T. Rouabhia , A. Boumali

The planar non-relativistic quantum dynamics of a neutral massive fermion with an anomalous magnetic moment (AMM) in the presence of the electric field of infinitely long and thin thread with a charge density distributed uniformly along it…

Quantum Physics · Physics 2017-08-02 V. R. Khalilov

In this letter, firstly, the Schr$\ddot{o}$dinger equation on noncommutative phase space is given by using a generalized Bopp's shift. Then the anomaly term of commutator of arbitrary physical observable operators on noncommutative phase…

High Energy Physics - Theory · Physics 2008-11-26 Sayipjamal Dulat , Kang Li

The planar quantum dynamics of spin-1/2 neutral particle interacting with electrical fields is considered. A set of first order differential equations are obtained directly from the planar Dirac equation with nonminimum coupling. New…

High Energy Physics - Theory · Physics 2015-09-10 F. S. Azevedo , Edilberto O. Silva , Luis B. Castro , Cleverson Filgueiras , D. Cogollo

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…

High Energy Physics - Theory · Physics 2009-10-28 Alexander Moroz

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

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

We establish systematic consolidation of the Aharonov-Bohm and Aharonov-Casher effects including their scalar counterparts. Their formal correspondences in acquiring topological phases are revealed on the basis of the gauge symmetry in…

Quantum Physics · Physics 2009-11-10 Minchul Lee , M. Y. Choi

We study the relativistic quantum dynamics of spin-$0$ massive charged particle in a G\"{o}del-type space-time with electromagnetic interactions. We solve the Klein-Gordon equation subject to a uniform magnetic field in the Som-Raychaudhuri…

General Physics · Physics 2020-11-23 Faizuddin Ahmed

In order to overcome ambiguity problem on identification of mathematical objects in noncommutative theory with physical observables, quantum mechanical system coupled to the NC U(1) gauge field in the noncommutative space is reformulated by…

High Energy Physics - Theory · Physics 2009-11-10 Akira Kokado , Takashi Okamura , Takesi Saito

We study combined interference effects due to the Aharonov-Bohm (AB) and Aharonov-Casher (AC) phases in a Josephson supercurrent of local and nonlocal (split) Cooper pairs. We analyze a junction between two superconductors interconnected…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 Damian Tomaszewski , Piotr Busz , Rosa Lopez , Rok Zitko , Minchul Lee , Jan Martinek