Skip navigation
Skip navigation

On an identity for the volume integral of the square of a vector field

Stewart, A. M.

Description

A proof is given of the vector identity proposed by Gubarev, Stodolsky and Zakarov that relates the volume integral of the square of a 3-vector field to non-local integrals of the curl and divergence of the field. The identity is applied to the case of the magnetic vector potential and magnetic field of a rotating charged shell. The latter provides a straightforward exercise in the use of the addition theorem of spherical harmonics.

CollectionsANU Research Publications
Date published: 2007-05-15
Type: Journal article
URI: http://hdl.handle.net/1885/16403
Source: American Journal of Physics
DOI: 10.1119/1.2426352

Download

File Description SizeFormat Image
01_Stewart_On_an_identity_for_the_volume_2007.pdf76.75 kBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  12 November 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator