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Related papers: The rovibrational Aharonov-Bohm effect

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Aharonov-Bohm effect is a quantum mechanical phenomenon that attracted the attention of many physicists and mathematicians since the publication of the seminal paper of Aharonov and Bohm [1] in 1959. We consider different types of…

Mathematical Physics · Physics 2015-06-24 Gregory Eskin

This is a brief review on the theoretical interpretation of the Aharonov-Bohm effect, which also contains our new insight into the problem. A particular emphasis is put on the unique role of electron orbital angular momentum, especially…

Quantum Physics · Physics 2018-09-26 Masashi Wakamatsu , Yoshio Kitadono , Liping Zou , Pengming Zhang

We add a confining potential to the Aharonov-Bohm model resulting in no contact of the particle with the solenoid (border); this is characterized by a unique self-adjoint extension of the initial Hamiltonian operator. It is shown that the…

Mathematical Physics · Physics 2017-11-20 Cesar R. de Oliveira , Renan G. Romano

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…

Aharonov-Bohm oscillations are observed in a graphene quantum ring with a top gate covering one arm of the ring. As graphene is a gapless semiconductor this geometry allows to study not only the quantum interference of electrons with…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 D. Smirnov , H. Schmidt , R. J. Haug

Gaussian linking of a semiclassical path of a charged particle with a magnetic flux tube is responsible for the Aharonov-Bohm effect, where one observes interference proportional to the magnitude of the enclosed flux. We construct quantum…

High Energy Physics - Theory · Physics 2008-11-26 Roman V. Buniy , Thomas W. Kephart

We find a fine structure in the Aharonov-Bohm effect, characterized by the appearence of a new type of periodic oscillations having smaller fractional period and an amplitude, which may compare with the amplitude of the conventional…

Condensed Matter · Physics 2009-10-22 F. V. Kusmartsev , Minoru Takahashi

The optical exciton Aharonov-Bohm effect, i. e. an oscillatory component in the energy of optically active (bright) states, is investigated in nanorings. It is shown that a small effective electron mass, strong confinement of the electron,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Grochol , F. Grosse , R. Zimmermann

We have investigated the Aharonov-Bohm effect in a one-dimensional GaAs/GaAlAs ring at low magnetic fields. The oscillatory magnetoconductance of these systems are for the first time systematically studied as a function of density. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Pedersen , A. E. Hansen , A. Kristensen , C. B. Soerensen , P. E. Lindelof

The role of Aharonov-Bohm effect in quantum tunneling is examined when a potential is defined on the $S^1$ and has $N$-fold symmetry. We show that the low-lying energy levels split from the $N$-fold degenerate ground state oscillate as a…

Quantum Physics · Physics 2015-06-26 ChangSoo Park , D. K. Park

We study a field-theoretical analogue of the Aharonov-Bohm effect in two-, three- and four-dimensional Abelian Higgs models; the corresponding topological interaction is proportional to the linking number of the Abrikosov vortex and the…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov

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

The Aharonov-Bohm effect is one of the most surprising wonders of the quantum world. The observed solenoid effect, as well as others, shows that a particle is affected by the potential in a region in which there is no force-field. This is…

High Energy Physics - Phenomenology · Physics 2026-04-02 J. Bernabeu , C. Espinoza

Ring geometries have fascinated experimental and theoretical physicists over many years. Open rings connected to leads allow the observation of the Aharonov-Bohm effect, a paradigm of quantum mechanical phase coherence. The phase coherence…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Fuhrer , S. Luescher , T. Ihn , T. Heinzel , K. Ensslin , W. Wegscheider , M. Bichler

The Aharonov-Bohm effect is a physical phenomenon in which the quantum state of a charged particle acquires a phase shift that is directly proportional to the magnetic flux, $\Phi$, due to a (classical) magnetic field, ${\mathbf B}$, which…

Quantum Physics · Physics 2026-04-09 Manvendra Somvanshi , D. Jaffino Stargen

It is known as a purely quantum effect that a magnetic flux affects the real physics of a particle, such as the energy spectrum, even if the flux does not interfere with the particle's path - the Aharonov-Bohm effect. Here we examine an…

Quantum Physics · Physics 2020-01-13 Luiz H. Santos , Juven Wang

Torque is ubiquitous in many molecular systems, including collisions, chemical reactions, vibrations, electronic excitations and especially rotor molecules. We present a straightforward theoretical method based on forces acting on atoms and…

Chemical Physics · Physics 2016-11-23 Rui-Qin Zhang , Yan-Ling Zhao , Fei Qi , Klaus Hermann , Michel A. Van Hove

By using the complex angular momentum method, we provide a semiclassical analysis of electron scattering by a magnetic vortex of Aharonov-Bohm-type. Regge poles of the $S$-matrix are associated with surface waves orbiting around the vortex…

Condensed Matter · Physics 2007-05-23 Yves Décanini , Antoine Folacci

An experiment to observe the Aharonov-Bohm effect is discussed. A solenoid which consists of a large number of point magnetic dipoles is considered as the source of a vector potential, which acts on a charged particle, and such potential…

Quantum Physics · Physics 2021-10-19 V. Rubaev , L. Fedichkin

We report electronic transmission properties of a tight binding Aharonov-Bohm ring threaded by a magnetic flux, to one arm of which a finite cluster of atoms has been attached from one side. we demonstrate that, by suitably choosing the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Supriya Jana , Arunava Chakrabarti