2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/193724We construct a perturbative solution to classical noncommutative gauge theory on ${\mathbb{R}}^{3}$ minus the origin using the Groenewald-Moyal star product. The result describes a noncommutative point charge. Applying it to the quantum mechanics of the noncommutative hydrogen atom gives shifts in the $1S$ hyperfine splitting which are first order in the noncommutativity parameter.8 pagesHigh Energy Physics - TheoryHigh Energy Physics - Phenomenologytext