2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123160The recent introduced \textit{dressed coordinates} are studied in the path-integral approach. These coordinates are defined in the context of a harmonic oscillator linearly coupled to massless scalar field and, it is shown that in this model the dressed coordinates appear as a coordinate transformation preserving the path-integral functional measure. The analysis also generalizes the \textit{sum rules} established in a previous work.9 pages, Latex2eAtomic Physicstext