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We study the time-dependent Aharonov-Bohm effect on the noncommutative space. Because there is no net Aharonov-Bohm phase shift in the time-dependent case on the commutative space, therefore, a tiny deviation from zero indicates new…

High Energy Physics - Theory · Physics 2016-06-10 Kai Ma , Jian-Hua Wang , Huan-Xiong Yang

The ideal scalar Aharonov-Bohm (SAB) and Aharonov-Casher (AC) effect involve a magnetic dipole pointing in a certain fixed direction: along a purely time dependent magnetic field in the SAB case and perpendicular to a planar static electric…

Quantum Physics · Physics 2022-10-12 Philipp Hyllus , Erik Sjöqvist

In this manuscript, we investigate the influence of the Aharonov-Casher effect on the generalized Dirac oscillator containing the Coulomb-type potential function related to a relativistic neutral particle having a permanent magnetic dipole…

Quantum Physics · Physics 2022-05-17 Hao Chen , Zheng-Wen Long , Chao-Yun Long , Soroush Zare , Hassan Hassanabadi

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 dynamics of a spin--1/2 neutral particle possessing electric and magnetic dipole moments interacting with external electric and magnetic fields in noncommutative coordinates is obtained. Noncommutativity of space is interposed in terms…

High Energy Physics - Theory · Physics 2009-08-03 Omer F. Dayi

In this Reply we argue that (i) the Hamiltonian, Eq. (17) in our paper (Phys. Rev. Lett. 108, 070405 (2012)), is definitely Lorentz invariant; (ii) the conditions of generating topological Aharonov-Casher(AC) and Scalar Aharonov-Bohm (SAB)…

Quantum Physics · Physics 2013-12-10 Kai Ma , Sayipjamal Dulat

We determine the (bound) ground state of a spin 1/2 chargless particle with anomalous magnetic moment in certain Aharonov-Casher configurations. We recast the description of the system in a supersymmetric form. Then the basic physical…

Quantum Physics · Physics 2009-10-31 S. Bruce , L. Roa

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…

Quantum Physics · Physics 2021-09-29 Pablo L. Saldanha

The Aharonov-Bohm (AB) effect highlights the fundamental role of electromagnetic potentials in quantum mechanics, manifesting as a phase shift for a charged particle in field-free regions. While well-established for static magnetic fluxes,…

Quantum Physics · Physics 2026-01-27 Shan Gao

After obtaining an exact analytical time-varying solution for the Aharonov-Casher conducting ring embedded in a textured static/dynamic electric field, we investigate the spin-resolved quantum transport in the structure. It is shown that…

Mesoscale and Nanoscale Physics · Physics 2018-09-10 Can Li , Yaojin Li , Dongxing Yu , Chenglong Jia

The Aharonov Bohm scattering for spinless, isospin 1/2, particles interacting through a nonabelian Chern-Simons field is studied. Starting from the relativistic quantum field theory and using a Coulomb gauge formulation, the one loop…

High Energy Physics - Theory · Physics 2009-10-31 M. Gomes , L. C. Malacarne , A. J. da Silva

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…

High Energy Physics - Phenomenology · Physics 2017-06-28 Kai Ma , Jian-Hua Wang , Huan-Xiong Yang

We demonstrate the time reversal Aharonov-Casher (AC) effect in small arrays of mesoscopic semiconductor rings. By using an electrostatic gate we can control the spin precession rate and follow the AC phase over several interference…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Tobias Bergsten , Toshiyuki Kobayashi , Yoshiaki Sekine , Junsaku Nitta

The Aharonov-Casher (AC) oscillations of spin current through a 2D ballistic ring in the presence of Rashba spin-orbit interaction and external magnetic field has been calculated using the semiclassical path integral method. For classically…

Mesoscale and Nanoscale Physics · Physics 2010-10-21 V. V. Shlyapin , A. G. Mal'shukov

It is demonstrated that the Aharonov-Casher (AC) phase is a geometric phase that, in general, depends on the details of the closed path taken by a particle with a magnetic moment that is subject to an electric field. Consequently, it is not…

Quantum Physics · Physics 2025-07-11 Igor Kuzmenko , Y. B. Band , Yshai Avishai

We analyze a Josephson junction between two superconductors interconnected through a normal-state nanostructure made of two parallel nanowires with embedded quantum dots. We study the influence of interference effects due to the…

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

The effects of Aharonov-Casher (AC) and He-McKellar-Wilkens (HMW) phases on entangled spin-1/2 quantum systems are investigated. We use linear charge distributions positioned at the center of resulting closed orbits, capitalizing on Mach…

Quantum Physics · Physics 2024-05-17 H. O. Cildiroglu

The HMW effect in non-commutative quantum mechanics is studied. By solving the Dirac equations on non-commutative (NC) space and non-commutative phase space, we obtain topological HMW phase on NC space and NC phase space respectively, where…

High Energy Physics - Theory · Physics 2008-11-26 Jianhua Wang , Kang Li

It is analysed Aharonov-Bohm-type effects when a spinless quantum particle is in an elastic medium with the distortion of a vertical line into a vertical spiral. By confining the spinless particle to a cylindrical box, the analogue of the…

Quantum Physics · Physics 2019-07-04 W. C. F. da Silva , K. Bakke

We consider the problem of the bound states of a spin 1/2 chargless particle in a given Aharonov-Casher configuration. To this end we recast the description of the system in a supersymmetric form. Then the basic physical requirements for…

Quantum Physics · Physics 2009-10-31 S. Bruce et. al