A class of vector identities relevant to the representation of the electric current density
Classical Physics
2007-05-23 v1
Abstract
A rigorous mathematical proof is given of a class of vector identities that provide a way to separate an arbitrary vector field (over a linear space) into the sum of a radial (i.e., pointing toward the radial unit vector) vector field, minus the divergence of a tensor plus the curl of an axial vector. Such a separation is applied to the representation of electric current densities yielding a specific form of the effective polarization and magnetization fields which is also discussed in some details.
Cite
@article{arxiv.physics/0702127,
title = {A class of vector identities relevant to the representation of the electric current density},
author = {M. Bornatici and O. Maj},
journal= {arXiv preprint arXiv:physics/0702127},
year = {2007}
}