The gauge freedoms of enlarged Helmholtz theorem and the Neumann --- Debye potentials; their manifestation in the multipole expansion of conserved current

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dc.creatorBukina, E. N.
dc.creatorDubovik, V. M.
dc.date1998-11-13
dc.date.accessioned2026-07-07T04:32:35Z
dc.date.available2026-07-07T04:32:35Z
dc.descriptionWe discuss gauge freedom within the scope of the enlarged Helmholtz theorem and Neumann-Debye decomposition and then demonstrate its realization for the multipole expansion of a electromagnetic current with distinguished toroid moment family. The exact solution to the latter problem was obtained in 1974, but answers to some purely mathematical questions raised by I.B.~French and Y.~Shimamoto~\cite{French} about 40 years ago are given in this paper for the first time.
dc.descriptionRevTex, 12 pages
dc.identifierhttps://arxiv.org/abs/math-ph/9811011
dc.identifierhttp://arxiv.org/abs/math-ph/9811011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58243
dc.subjectMathematical Physics
dc.titleThe gauge freedoms of enlarged Helmholtz theorem and the Neumann --- Debye potentials; their manifestation in the multipole expansion of conserved current
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