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The nonlinear realization of conformal so(2,d) symmetry for relativistic systems and the dynamical conformal so(2,1) symmetry of nonrelativistic systems are investigated in the context of AdS/CFT correspondence. We show that the massless…

High Energy Physics - Theory · Physics 2026-02-25 Carlos Leiva , Mikhail S. Plyushchay

The hidden supersymmetry and related tri-supersymmetric structure of the free particle system, the Dirac delta potential problem and the Aharonov-Bohm effect (planar, bound state, and tubule models) are explained by a special nonlocal…

High Energy Physics - Theory · Physics 2014-11-20 Vit Jakubsky , Luis-Miguel Nieto , Mikhail S. Plyushchay

We investigate the analogue effect of the Aharonov-Bohm effect for bound states in two relativistic quantum systems in a spacetime with a space-like dislocation. We assume that the topological defect has an internal magnetic flux. Then, we…

Quantum Physics · Physics 2018-01-17 R. L. L. Vitoria , K. Bakke

We study the Aharonov-Bohm (AB) effect in two-dimensional mesoscopic frame in hole systems. We show that differing from the AB effect in electron systems, due to the presence of both the heavy hole and the light hole, the conductances not…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Zhou , M. W. Wu , M. Q. Weng

A hidden supersymmetry is revealed in the spinless Aharonov-Bohm problem. The intrinsic supersymmetric structure is shown to be intimately related with the scale symmetry. As a result, a bosonized superconformal symmetry is identified in…

High Energy Physics - Theory · Physics 2010-02-05 Francisco Correa , Horacio Falomir , Vit Jakubsky , Mikhail S. Plyushchay

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

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

A hidden nonlinear bosonized supersymmetry was revealed recently in Poschl-Teller and finite-gap Lame systems. In spite of the intimate relationship between the two quantum models, the hidden supersymmetry in them displays essential…

High Energy Physics - Theory · Physics 2008-11-26 Francisco Correa , Mikhail S. Plyushchay

As a consequence of the Aharonov-Bohm effect, there is a quantum-induced attraction between a charged particle and a rigid, impenetrable hoop made from an arbitrarily thin tube containing a superconductor quantum of magnetic flux. This is…

Quantum Physics · Physics 2007-05-23 Alfred Scharff Goldhaber , Ryan Requist

We elaborate a detailed study of certain aspects of (a version of) the AdS/CFT correspondence, conjectured by Maldacena and Witten, between quantum field theories in a gravitational background given by an asymptotically anti-de Sitter…

Mathematical Physics · Physics 2008-06-26 Pedro Lauridsen Ribeiro

Resorting to a Gedankenexperiment which is very similar to the famous Aharonov-Bohm proposal it will be shown that, in the case of a Minkowskian spacetime, we may use a nonrelativistic quantum particle and a noninertial coordinate system…

Quantum Physics · Physics 2009-10-31 A. Camacho

Based on the perturbation expansion, we compute the noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole, where the noncommutative background is suitably constructed in terms of…

High Energy Physics - Theory · Physics 2022-10-11 Zhang-Cheng Liu , Yan-Gang Miao

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 familiar $c\rightarrow \infty$ nonrelativistic limit converts the Klein-Gordon equation in Minkowski spacetime to the free Schroedinger equation, and the Einstein-massive-scalar system without a cosmological constant to the…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Piotr Bizon , Oleg Evnin , Filip Ficek

The possibility of detecting noncommutive space relics is analyzed by using the Aharonov-Bohm effect. If space is non-commutative, it turns out that the holonomy receives kinematical corrections that tend to diffuse the fringe pattern. This…

High Energy Physics - Theory · Physics 2007-05-23 J. Gamboa , M. Loewe , J. C. Rojas

The Aharonov-Bohm effect including spin-noncommutative effects is considered. At linear order in $\theta$, the magnetic field is gauge invariant although spatially strongly anisotropic. Despite this anisotropy, the Schr\"odinger-Pauli…

High Energy Physics - Theory · Physics 2011-08-12 A. Das , H. Falomir , J. Gamboa , F. Mendez , M. Nieto

We show that some simple well studied quantum mechanical systems without fermion (spin) degrees of freedom display, surprisingly, a hidden supersymmetry. The list includes the bound state Aharonov-Bohm, the Dirac delta and the Poschl-Teller…

High Energy Physics - Theory · Physics 2008-11-26 Francisco Correa , Mikhail S. Plyushchay

The AdS/CFT correspondence between theories in AdS space and conformal field theories in physical space-time provides an analytic, semi-classical, color-confining model for strongly-coupled QCD. The soft-wall AdS/QCD model modified by a…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stanley J. Brodsky , Guy F. de Téramond , Alexandre Deur

We show theoretically that strong electron coupling to circularly polarized photons in non-singly-connected nanostructures results in the appearance of an artificial gauge field that changes the electron phase. The effect arises from the…

Mesoscale and Nanoscale Physics · Physics 2014-12-05 H. Sigurdsson , O. V. Kibis , I. A. Shelykh

Using the AdS/CFT correspondence, we study the Schwinger effect in strongly coupled theories with an anisotropic scaling symmetry in time and spatial direction. We consider Lifshitz and hyperscaling violation theories and use their gravity…

High Energy Physics - Theory · Physics 2015-04-21 Kazem Bitaghsir Fadafan , Fateme Saiedi
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