2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98176We comment on a recent article by H. L. Neal [Am. J. Phys. 66, 512 (1998)], in which an analytic expression for the Hohenberg-Kohn functional was derived for one-dimensional two-particle systems with the harmonic interaction. We argue that the functional given by Neal is not exact but really constitutes an approximation in the same spirit as the local-density approximation.2 pages, RevTeXPhysics EducationMaterials Sciencetext