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In Maxwell's equations, the electric field can be expressed as the sum of the Coulombic field associated with the electric charge and the induced field associated with the time variation of the magnetic field from Faraday's law. The same…

Classical Physics · Physics 2025-09-03 Toshio Hyodo

We consider an Aharonov-Bohm interferometer, connected to two electronic reservoirs, with a quantum dot embedded on one of its arms. We find a general expression for the persistent current at steady state, valid for the case where the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 O. Entin-Wohlman , Y. Imry , A. Aharony

Maxwell defined a true or total current in a way not widely used today. He said "... true electric current ... is not the same thing as the current of conduction but that the time-variation of the electric displacement must be taken into…

Biological Physics · Physics 2024-01-03 Robert S. Eisenberg

After J. C. Maxwell brought forward the concept of displacement currents, H. R. Hertz and other scholars verified the existence of electromagnetic waves in experimental, and then confirmed indirectly the conceptive correctness of…

General Physics · Physics 2014-08-12 Zi-Hua Weng , Jin-Pan Zhu , Jing-Yan He , Zhi-Min Chen , Huang-Ping Yan , Ying Weng

Using an exact diagonalization technique within a generalized Mott-Hubbard Hamiltonian, we predict the existence of a ground state persistent current in coherent two-dimensional semiconductor quantum dot arrays pierced by an external…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 R. Kotlyar , S. Das Sarma

Though sufficient for local conservation of charge, we show that Maxwells displacement current is not necessary. An alternative to the Ampere Maxwell equation is exhibited and the alternative s electric and magnetic fields and scalar and…

Classical Physics · Physics 2015-06-23 Alan M. Wolsky

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

In the framework of the quantum theory of many-particle systems, we study the compatibility of approximated Non-Equilibrium Green Functions (NEGFs) and of approximated solutions of the Dyson equation with a modified continuity equation of…

General Physics · Physics 2025-09-16 F. Minotti , G. Modanese

In this Comment it is shown that it cannot be argued that in the magnetic AB effect there is no force acting on the particle, i.e., that the observed phase shift is entirely due to nonzero vector potential. In stationary resistive…

Quantum Physics · Physics 2014-07-21 Tomislav Ivezic

It is considered that the time derivative of the electric intensity in the Maxwell-Ampere law (displacement current) denotes that a change of electric field generates a magnetic field. This paper shows that there is no reason to think a…

General Physics · Physics 2007-05-23 Petr Slechta

We consider circular currents in molecular wires with loop substructures studied within simple tight-binding models. Previous studies of this issue have focused on specific molecular structures. Here we address several general issues. First…

Mesoscale and Nanoscale Physics · Physics 2010-12-03 Dhurba Rai , Oded Hod , Abraham Nitzan

Features of electronic currents in solids are truly diverse depending on circumstances, e.g. non-equilibrium transport currents leading to dissipation and persistent currents flowing in equilibrium. Differences between these currents may be…

Materials Science · Physics 2009-11-23 Hidetoshi Fukuyama , Yuki Fuseya , Akito Kobayashi

Application of the generalized continuity equation reveals that the drift current in conductors is equivalent to a negative diffusion current. A phenomenological model of conductivity is developed using the generalized continuity equations.…

General Physics · Physics 2011-08-19 Arbab I. Arbab

Maxwell's displacement current has been the subject of controversy for more than a century. Questions on whether the displacement current represents a true current like the conduction current and whether it produces a magnetic field have…

Classical Physics · Physics 2011-03-21 Jose A. Heras

Using the chiral kinetic theory we derive the electric and chiral current densities in inhomogeneous relativistic plasma. We also derive equations for the electric and chiral charge chemical potentials that close the Maxwell equations in…

High Energy Physics - Theory · Physics 2016-05-19 E. V. Gorbar , I. A. Shovkovy , S. Vilchinskii , I. Rudenok , A. Boyarsky , O. Ruchayskiy

It has been argued, that in noncommutative field theories sizes of physical objects cannot be taken smaller than an elementary length related to noncommutativity parameters. By gauge-covariantly extending field equations of noncommutative…

High Energy Physics - Theory · Physics 2011-11-01 T. C. Adorno , D. M. Gitman , A. E. Shabad , D. V. Vassilevich

We demonstrate quite generally how a conserved current can have an anomalous dimension. We show here that if the current in the normal state of the cuprates has an anomalous dimension, then the Aharonov-Bohm flux through a ring does not…

Strongly Correlated Electrons · Physics 2018-03-28 Kridsanaphong Limtragool , Philip W. Phillips

The Displacement Current is a peculiar aspect of Maxwell's equation created by theoretical necessity only to be later validated through experimentation. We analyze the properties of the Displacement Current in the static condition of…

Optics · Physics 2025-01-07 Arvin Sharma

Devices for nano- and molecular size electronics are currently a focus of research aimed at an efficient current rectification and switching. A few generic molecular scale devices are reviewed here on the basis of first-principles and model…

Soft Condensed Matter · Physics 2015-06-25 A. M. Bratkovsky

The time derivative of the charge density is linked to the current density by the continuity equation. However, it features only the longitudinal part of a current density, which is known to produce no radiation. This fact usually remains…

Optics · Physics 2022-01-21 Nikita Nemkov , Vassili Fedotov