The gauge freedoms of enlarged Helmholtz theorem and the Neumann --- Debye potentials; their manifestation in the multipole expansion of conserved current
Bukina, E. N. ; Dubovik, V. M.
arXiv, 9811011 / Harvested from arXiv
Text on arXiv
We 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.
Publié le : 1998-11-13
Classification:  Mathematical Physics 
@article{9811011,
     author = {Bukina, E. N. and Dubovik, V. M.},
     title = {The gauge freedoms of enlarged Helmholtz theorem and the Neumann ---
  Debye potentials; their manifestation in the multipole expansion of conserved
  current},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9811011}
}

Bukina, E. N.; Dubovik, V. M. The gauge freedoms of enlarged Helmholtz theorem and the Neumann ---
  Debye potentials; their manifestation in the multipole expansion of conserved
  current. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9811011/