Topic
Magnetic potential
About: Magnetic potential is a research topic. Over the lifetime, 2750 publications have been published within this topic receiving 45347 citations.
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TL;DR: In this paper, the electric and magnetic charges of non-abelian gauge theories are defined in terms of the asymptotic symmetries of the field configurations and expressed as flux integrals.
174 citations
TL;DR: A time-dependent density-functional formalism is developed for many-electron systems subjected to external electric and magnetic fields with arbitrary time dependence, and the single-particle current density is shown to determine uniquely the time- dependent scalar and vector potentials characterizing the system.
Abstract: A time-dependent density-functional formalism is developed for many-electron systems subjected to external electric and magnetic fields with arbitrary time dependence. The single-particle current density is shown to determine uniquely the time-dependent scalar and vector potentials characterizing the system, and hence also the many-particle wave function. A Levy-type universal functional is defined, and practical schemes for the calculation of electron density and the current density through hydrodynamical as well as a set of single-particle Kohn-Sham-like equations are proposed. The gauge invariance of the present self-consistent formalism is also proved.
169 citations
TL;DR: In this article, the general solution of three-dimensional problems in transversely isotropic magnetoelectroelastic media is obtained through five newly introduced potential functions, all of which are harmonic.
168 citations
TL;DR: An overview of various finite element techniques based on the magnetic vector potential for the solution of three-dimensional magnetostatic problems is presented in this paper, where the vector potential is interpolated with the aid of edge finite elements and no gauge is enforced.
Abstract: An overview of various finite element techniques based on the magnetic vector potential for the solution of three-dimensional magnetostatic problems is presented. If nodal finite elements are used for the approximation of the vector potential, a lack of gauging results in an ill-conditioned system. The implicit enforcement of the Coulomb gauge dramatically improves the numerical stability, but the normal component of the vector potential must be allowed to be discontinuous on iron/air interfaces. If the vector potential is is interpolated with the aid of edge finite elements and no gauge is enforced, a singular system results. It can be solved efficiently by conjugate gradient methods, provided care is taken to ensure that the current density is divergence free. Finally, if a tree-cotree gauging of the vector potential is introduced, the numerical stability depends on how the tree is selected with no obvious optimal choice available.
168 citations
TL;DR: In this article, the state vector equations for three dimensional, orthotropic and linearly magneto-electro-elastic media are derived from the governing equations by eliminating σ x, σ y · τ xy, B x, B y, D x and D y.
158 citations