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Rectification of electron wave-packets propagating along a quasi-one dimensional chain is commonly achieved via the simultaneous action of nonlinearity and longitudinal asymmetry, both confined to a limited portion of the chain termed wave…

Computational Physics · Physics 2014-06-13 Yunyun Li , Jun Zhou , Fabio Marchesoni , Baowen Li

We study a Klein-Gordon-Maxwell system, in a bounded spatial domain, under Neumann boundary conditions on the electric potential. We allow a nonconstant coupling coefficient. For sufficiently small data, we find infinitely many standing…

Analysis of PDEs · Mathematics 2019-12-03 Monica Lazzo , Lorenzo Pisani

We study the model of a noninteracting spinless electron gas confined to the two-dimensional localized surface of a cone in the presence of external magnetic fields. The localized region is characterized by an annular radial potential. We…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Luís Fernando C. Pereira , Fabiano M. Andrade , Cleverson Filgueiras , Edilberto O. Silva

In this paper we consider external current QED in the Coulomb gauge and in axial gauges for various spatial directions of the axis. For a non-zero electric charge of the current, we demonstrate that any two different gauges from this class…

High Energy Physics - Theory · Physics 2021-04-23 Wojciech Dybalski , Benedikt Wegener

The article presents an alternative approach to the definition of vector electrodynamic potential and its properties. It is shown that generally it has vortical and potential components. The system of differential equations of generalized…

General Physics · Physics 2009-09-29 A. K. Tomilin

A unified electrodynamic approach to the guided-wave excitation theory is generalized to the waveguiding structures containing a hypothetical space-dispersive medium with drifting charge carriers possessing simultaneously elastic,…

Classical Physics · Physics 2009-10-31 A. A. Barybin

A voltage bias applied to a conductor induces a change of the current noise with respect to the equilibrium noise known as excess noise. We analyze the excess noise of the electronic current flowing through a mesoscopic Aharonov-Bohm ring…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 Fabrizio Dolcini , Hermann Grabert

Ordinary, s-wave superconductors have been recognized as being topological phases of matter, in which the dynamical gauge field implies less understood global features. Using the tools of topological field theories and generalized…

High Energy Physics - Theory · Physics 2026-04-22 Marcus Berg , Andrea Cappelli , Riccardo Villa

The Aharonov--Bohm effect is considered as a scattering event with nonrelativistic charged particles of the wavelength which is less than the transverse size of an impenetrable magnetic vortex. The quasiclassical WKB method is shown to be…

Quantum Physics · Physics 2016-10-04 Yu. A. Sitenko , N. D. Vlasii

The problem of constructing gauge invariant currents in terms of light-cone bound-state wave functions is solved by utilising the gauging of equations method. In particular, it is shown how to construct perturbative expansions of the…

High Energy Physics - Theory · Physics 2014-11-18 A. N. Kvinikhidze , B. Blankleider

In Maxwell's classical theory of electrodynamics the fields are frequently expressed by potentials in order to facilitate the solution of the first order system of equations. This method obscures, however, that there exists an inconsistency…

General Physics · Physics 2016-10-04 Wolfgang Engelhardt

In an earlier paper it was demonstrated that the hypothesized electrostatic version of the Aharonov-Bohm ("AB") effect does not exist. The conclusion follows straightforwardly once one recognizes that interference takes place in the…

Quantum Physics · Physics 2016-12-16 Allan Walstad

The exact wave functions that describe scattering of a charged particle by a confined magnetic field (Aharonov-Bohm effect) and by a Coulomb field are analyzed. It is well known that the usual procedure of finding asymptotic forms of these…

High Energy Physics - Theory · Physics 2007-05-23 Charles M. Sommerfield , Hisakazu Minakata

The theoretical foundations of quantum mechanics and de Broglie--Bohm mechanics are analyzed and it is shown that both theories employ a formal approach to microphysics. By using a realistic approach it can be established that the internal…

Quantum Physics · Physics 2015-06-26 W. A. Hofer

The conservation of physical quantities under coordinate transformations, known as gauge invariance, has been the foundation of theoretical frameworks in both quantum and classical theory. The finding of gauge-invariant quantities has…

Quantum Physics · Physics 2021-05-03 Sunkyu Yu , Xianji Piao , Namkyoo Park

It has been suggested that the magnetic Aharonov-Bohm effect can be interpreted equally well as being due to a phase shift associated with an electron in an interferometer enclosing a magnetic flux, or as a phase shift associated with the…

Quantum Physics · Physics 2025-10-14 J. D. Franson

Theoretical explanation of the Meissner effect involves proportionality between current density and vector potential [1], which has many deep consequences. Amongst them, one can speculate that superconductors in a magnetic field "find an…

Superconductivity · Physics 2012-08-07 Armen M. Gulian

We consider a small p-type island defined within n-type graphene nanoribbon induced by potential of a floating electrode. In the quantum Hall conditions the island supports persistent currents localized at the $n-p$ junction. When coupled…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Dariusz Żebrowski , Alina Mrenca-Kolasinska , Bartłomiej Szafran

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 direct detection of gravitational waves provides the opportunity to measure fundamental aspects of gravity which have never been directly probed before, including the polarization of gravitational waves. In the context of searches for…

General Relativity and Quantum Cosmology · Physics 2017-08-18 Maximiliano Isi , Matthew Pitkin , Alan J. Weinstein