2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94671We give a sufficient condition for the quantum adiabatic approximation, which is quantitative and can be used to estimate error caused by this approximation. We also discuss when the traditional condition is sufficient.We give a sufficient condition for the quantum adiabatic approximation, which can be used to resolve the recent criticism on it. Comments are welcomeQuantum Physicstext