2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/25205Inelastic effects in electron transport through nano-sized devices are addressed with a method based on nonequilibrium Green's functions (NEGF) and perturbation theory to infinite order in the electron-vibration coupling. We discuss the numerical implementation which involves an iterative scheme to solve a set of coupled non-linear equations for the electronic Green's functions and the self-energies due to vibrations. To illustrate our method, we apply it to a one-dimensional single-orbital tight-binding description of the conducting electrons in atomic gold wires, and show that this simple model is able to capture most of the essential physics.4 pages, 4 figures, Contribution to International Workshop on Computational Electronics (IWCE-10)Mesoscale and Nanoscale Physicstext