Scattering theory of Kondo mirages and observation of single Kondo atom phase shift

We explain the origin of the Kondo mirage seen in recent quantum corral sca nning tunneling microscope experiments with a scattering theory of electron s on the surfaces of metals, Our theory, combined with experimental data, p rovides a direct observation of a single Kondo atom phase shift. The Kondo mirage observed at the empty focus of an elliptical quantum corral is shown to arise from multiple electron bounces off the corral wall adatoms. We de monstrate our theory with direct quantitive comparison to experimental data .