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

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.

DOI

-

First Page

927

Last Page

936

Recommended Citation

BUKINA, ELENA N. and DUBOVIK, VLADIMIR M. (1999) "The gauge freedoms of enlarged Helmholtz theorem and Debye potentials; their use in the multipole expansion of conserved current," Turkish Journal of Physics: Vol. 23: No. 5, Article 15. Available at: https://journals.tubitak.gov.tr/physics/vol23/iss5/15