Alexander Elgart, George Hagedorn An Adiabatic Theorem for Resonances (350K, LaTeX 2e with 2 PS Figures) ABSTRACT. We prove a robust extension of the quantum adiabatic theorem. The theorem applies to systems that have resonances instead of bound states, and to systems for which just an approximation to a bound state is known. To demonstrate the theorem's usefulness in a concrete situation, we apply it to shape resonances.