Stewart, A. M.
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.
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