Answers are grounded in this paper and cite their sources.
A simple proof is given of the theorem that an arbitrary divergenceless vector field F can be represented in terms of two scalar fields (Debye potentials) ψ and χ according to F=Lψ+∇×Lχ, where L is the angular momentum operator. The questions of uniqueness and completeness of this representation are discussed, and the importance of the theorem in electromagnetic theory is emphasized.
No takes yet. Share an insight, caveat, or question.
Gray et al. (1978) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: