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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

We provide a new approach to study the noncommutative effects on the neutral Dirac particle with anomalous magnetic or electric dipole moment on the noncommutative plane. The advantages of this approach are demonstrated by investigating the…

High Energy Physics - Theory · Physics 2016-03-22 Kai Ma , Jian-hua Wang , Huan-Xiong Yang

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

Controlling the phase and amplitude of spin waves in magnetic insulators with an electric field opens the way to fast logic circuits with ultra-low power consumption. One way to achieve such control is to manipulate the magnetization of the…

Mesoscale and Nanoscale Physics · Physics 2024-02-26 Rostyslav O. Serha , Vitaliy I. Vasyuchka , Alexander A. Serga , Burkard Hillebrands

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

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

Quantum mechanics in noncommutative space modifies the standard result of the Aharonov-Bohm effect for electrons and other recent quantum effects. Here we obtain the phase in noncommutative space for the Spavieri effect, a generalization of…

Quantum Physics · Physics 2018-01-17 Miguel E. Rodriguez

After discussing the peculiarities of quantum systems on noncommutative (NC) spaces with non-trivial topology and the operator representation of the $\star$-product on them, we consider the Aharonov-Bohm and Casimir effects for such spaces.…

High Energy Physics - Theory · Physics 2008-11-26 M. Chaichian , A. Demichev , P. Presnajder , M. M. Sheikh-Jabbari , A. Tureanu

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

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

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

In this work bound states for the Aharonov-Casher problem are considered. According to Hagen's work on the exact equivalence between spin-1/2 Aharonov-Bohm and Aharonov-Casher effects, is known that the $\boldsymbol{\nabla}\cdot\mathbf{E}$…

Quantum Physics · Physics 2013-04-25 E. O. Silva , F. M. Andrade , H. Belich , C. Filgueiras

The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives non-trivial kinematical corrections that will produce a diffraction pattern…

High Energy Physics - Theory · Physics 2009-11-07 H. Falomir , J. Gamboa , M. Loewe , F. Mendez , J. C. Rojas

The He-McKellar-Wilkens(HMW) effect for spin one neutral particle in non-commutative quantum mechanics is studied. By solving the Kemmer like equations on non-commutative (NC) space and non-commutative phase space, we obtain topological…

Mathematical Physics · Physics 2008-02-11 Sayipjamal Dulat , Kang Li , Jianhua Wang

In this letter, we report a measurement of the Aharonov-Casher (AC) geometric phase with our lithium atom interferometer. The AC phase appears when a particle carrying a magnetic dipole propagates in a transverse electric field. The first…

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

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

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

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

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