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The electric Aharonov-Bohm effect is a special case of the general Ab effect. However, when inserting a gravitational potential in the place of the time dependent potential, a different understanding of the phase shift could be gained. The…

Quantum Physics · Physics 2010-12-30 Doron M. Ludwin

The Aharonov-Bohm (AB) effect has been highly influential in fundamental and applied physics. Its topological nature commonly implies that an electron encircling a magnetic flux source in a field-free region must close the loop in order to…

We study the persistent currents induced by both the Aharonov-Bohm and Aharonov-Casher effects in a one-dimensional mesoscopic ring coupled to a side-branch quantum dot at Kondo resonance. For privileged values of the Aharonov-Bohm-Casher…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. -P. Eckle , H. Johannesson , C. A. Stafford

A theory based on the Aharonov -Bohm effect in the momentum space for the Spin-Hall conductivity without a magnetic field is presented. The two dimensional Rashba Hamiltonian is diagonalized in the momentum spinor basis. This spinor is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Schmeltzer

We propose an atom beam splitter that enables the manipulation of the internal spin state of the atoms in the output beams using a spin-dependent optical potential. The utility of such an atom beam splitter is demonstrated through its…

Quantum Physics · Physics 2025-09-30 Igor Kuzmenko , Yshai Avishai , Y. B. Band

We investigate quantum spin transport in a structure of conducting ring, embedded in textured electric field, with two leads, and obtain an exact solution for the problem. The spin precession induced by the Aharonov-Casher phase is studied.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Shun-Qing Shen , Zhi-Jian Li , Zhongshui Ma

A noncommutative complex scalar field, satisfying the deformed canonical commutation relations proposed by Carmona et al. [27]-[31], is constructed. Using these noncommutative deformed canonical commutation relations, a model describing the…

High Energy Physics - Theory · Physics 2012-06-19 Farid Khelili

In this paper we investigate the scalar Aharonov-Bohm (AB) effect in two of its forms, i.e., its electric form and its gravitational form. The standard form of the electric AB effect involves having particles (such as electrons) move in…

External non-uniform magnetic fields acting on molecules induce non-collinear spin-densities and spin-symmetry breaking. This necessitates a general two-component Pauli spinor representation. In this paper, we report the implementation of a…

Chemical Physics · Physics 2018-05-23 Sangita Sen , Erik I. Tellgren

We investigate some foundational issues in the quantum theory of spin transport, in the general case when the unperturbed Hamiltonian operator $H_0$ does not commute with the spin operator in view of Rashba interactions, as in the typical…

Mathematical Physics · Physics 2024-07-22 Giovanna Marcelli , Gianluca Panati , Stefan Teufel

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…

Mathematical Physics · Physics 2011-09-20 Gregory Eskin

We reexamine the topological and nonlocal natures of the Aharonov-Casher and scalar Aharonov-Bohm phase effects. The underlying U(1) gauge structure is exhibited explicitly. And the conditions for developing topological Aharonov-Casher and…

Quantum Physics · Physics 2012-03-26 Sayipjamal Dulat , Kai Ma

We discuss the consequences of the Aharonov-Bohm effect in setups involving several charged particles, wherein none of the charged particles encloses a closed loop around the magnetic flux. We show that in such setups, the AB phase is…

Quantum Physics · Physics 2009-11-11 A. Retzker , Y. Aharonov , A. Botero , S. Nussinov , B. Reznik

The independence of the Aharonov-Bohm phase shift on particle velocity is one of its defining properties. The classical counterpart to this dispersionless behavior is the absence of forces along the direction of motion of the particle. A…

Quantum Physics · Physics 2015-07-03 Herman Batelaan , Maria Becker

We study the quantum dynamics of neutral particle that posseses a permanent magnetic and electric dipole moments in the presence of an electromagnetic field. The analysis of this dynamics demonstrates the appearance of a quantum phase that…

Quantum Physics · Physics 2009-11-10 Claudio Furtado , C. A. de Lima Ribeiro

The adiabatic Aharonov-Bohm (AB) effect is a manifestation of the Berry phase acquired when some slow variables take a planar spin around a loop. While the effect has been observed in molecular spectroscopy, direct measurement of the…

Quantum Physics · Physics 2015-11-16 Erik Sjöqvist , Martin Almquist , Ken Mattsson , Zeynep Nilhan Gürkan , Björn Hessmo

In this letter, we investigate the nonrelativistic quantum motion of a charged particle within a rotating frame, taking into account the Aharonov-Bohm (AB) effect and a uniform magnetic field. Our analysis entails the derivation of the…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Carlos Magno O. Pereira , Frankbelson dos S. Azevedo , Luís Fernando C. Pereira , Edilberto O. Silva

We study the spin-orbital interaction and the spin Hall effect(SHE) of an electron moving on a noncommutative space under the influence of a vector potential A. On a noncommutative space we find that the commutator between the vector…

High Energy Physics - Theory · Physics 2011-08-23 Kai Ma , Sayipjamal Dulat

This paper provides an examination of how are prediction of standard quantum mechanic (QM) affected by introducing a noncommutative (NC) structure into the configuration space of the considered system (electron in the Coulomb potential in…

Mathematical Physics · Physics 2015-12-10 Veronika Gáliková , Samuel Kováčik , Peter Prešnajder

Ring structures fabricated from HgTe/HgCdTe quantum wells have been used to study Aharonov-Bohm type conductance oscillations as a function of Rashba spin-orbit splitting strength. We observe non-monotonic phase changes indicating that an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Koenig , A. Tschetschetkin , E. M. Hankiewicz , Jairo Sinova , V. Hock , V. Daumer , M. Schaefer , C. R. Becker , H. Buhmann , L. W. Molenkamp