Authors: ELENA N. BUKINA, VLADIMIR M. DUBOVIK
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  about 40 years ago are given in this paper for the first time.
Full Text: PDF