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A moving dielectric appears to light as an effective gravitational field. At low flow velocities the dielectric acts on light in the same way as a magnetic field acts on a charged matter wave. We develop in detail the geometrical optics of…

Optics · Physics 2009-10-31 U. Leonhardt , P. Piwnicki

In this work we investigate quasiparticles in the background of defects in solids using the geometric theory of defects. We use the parallel transport matrix to study the Aharonov-Bohm effect in this background. For quasiparticles moving in…

Soft Condensed Matter · Physics 2010-11-05 Claudio Furtado , A. M. de M. Carvalho , C. A. de Lima Ribeiro

The Aharonov-Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle in a noncommutative space. We show that the corresponding…

High Energy Physics - Theory · Physics 2009-10-07 M. Chaichian , A. Demichev , P. Presnajder , M. M. Sheikh-Jabbari , A. Tureanu

Quantum-mechanical theory for scattering of nonrelativistic charged particles with spin by a penetrable magnetic vortex is elaborated. The scattering differential cross section is shown to consist of two terms, one describing diffraction on…

Quantum Physics · Physics 2014-11-18 Yurii A. Sitenko

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 study linear and nonlinear wave scattering by an optical vortex in a self-defocusing nonlinear Kerr medium. In the linear case, we find a splitting of a plane-wave front at the vortex proportional to its circulation, similar to what…

Pattern Formation and Solitons · Physics 2009-11-07 Dragomir Neshev , Alexander Nepomnyashchy , Yuri S. Kivshar

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

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

We study the analogy between propagation of light rays in a stationary curved spacetime and in a toroidal (meta-)material. After introducing a novel gravitational analog of the index of refraction of a magneto-electric medium, it is argued…

General Relativity and Quantum Cosmology · Physics 2020-05-08 A. Besharat , M. Miri , M. Nouri-Zonoz

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 present a detailed analysis of the Aharonov-Bohm (AB) interference oscillations manifested through transmission of an electron in a mesoscopic ring with a magnetic impurity atom inserted in one of its arms. The spin polarization…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar

Recent works showed that the Aharonov-Bohm (AB) phase difference for a quantum charged particle can be written in terms of electric and magnetic fluxes in a spacetime surface whose boundaries are the possible particle worldlines in the…

Quantum Physics · Physics 2025-12-18 Hiram S. M. Rodrigues , Katson W. O. Arévola , Pablo L. Saldanha

The non-stationary Aharonov-Bohm effect (scattering of electron in the field of a narrow solenoid with alternating current) is considered. Using the eikonal approximation, the wave function of electron, the differential and total scattering…

Atomic Physics · Physics 2024-12-23 A. I. Milstein , I. S. Terekhov

An electric field propagating along a non-planar path can acquire geometric phases. Previously, geometric phases have been linked to spin redirection and independently to spatial mode transformation, resulting in the rotation of…

When light is transmitted through optically inhomogeneous and anisotropic media the spatial distribution of light can be modified according to its input polarization state. A complete analysis of this process, based on the paraxial…

Quantum Physics · Physics 2011-02-08 Gabriel F. Calvo , Antonio Picón

We investigated the modulation in the polarization-dependent optical behaviour of the waveguiding plasmonic crystal by varying the illumination and detection geometry. We employed the finite element method-based COMSOL simulation and…

We study the impact of Aharonov-Bohm solenoid on the radiation of a charged particle moving in a constant uniform magnetic field. With this aim in view, exact solutions of Klein-Gordon and Dirac equations are found in the magnetic-solenoid…

High Energy Physics - Theory · Physics 2009-10-31 V. G. Bagrov , D. M. Gitman , A. Levin , V. B. Tlyachev

We investigate the inherent influence of light polarization on the intensity distribution in anisotropic media undergoing a local inhomogeneous rotation of the principal axes. Whereas in general such configuration implies a complicated…

Optics · Physics 2017-03-07 Alessandro Alberucci , Chandroth Pannian Jisha

We present a detailed analysis of the Aharonov-Bohm interference oscillations manifested through transmission of an electron in a mesoscopic ring with a magnetic impurity atom inserted in one of its arms. The electron interacts with the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar

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…

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