Journals / Turkish Journal of Physics / 1999 / Cilt: 23 - Sayı: 5
The gauge freedoms of enlarged Helmholtz theorem and Debye potentials; their use in the multipole expansion of conserved current
- Journal
- Turkish Journal of Physics
- Pages
- 927–935
- DOI
- —
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.
Özet
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.