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

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 نشر من قبل Andrew Stewart
 تاريخ النشر 2014
  مجال البحث فيزياء
والبحث باللغة English
 تأليف A. M. Stewart




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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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