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

Authors : Elena N BUKINA, Vladimir M DUBOVIK

Pages : 927-936

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :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 conserved electromagnetic current. 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 [1] about 40 years ago are given in this paper for the first time.
Keywords : Turk J Phys, 23, 1999, 927 936 Turk J Phys, vol 23, iss 5