Reply to "Comments on work of Yang and Nevels 'Direct, analytic solution for the electromagnetic vector potential in any gauge' (arXiv:2507.02104)" by Onoochin (arXiv:2507.08042)

Abstract

Because of a difference between his and our results for the Coulomb-gauge vector potential, Onoochin (arXiv:2507.08042) suspected that we might have used some (so far unidentified) mathematically illegal operations in our paper (arXiv:2507.02104). In this note, we present four methods to prove the validity of our results in dispute. Onoochin's method for calculating his Coulomb-gauge vector potential is among our four methods used in the proofs.

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