Two-electron theory of non-interacting surface and impurity states^†

Some earlier results in the Davison-Cheng two-electron theory of surface and impurity states are corrected. Although the surface spin state findings are only slightly modified, it is found that the inner and outer impurity spin states no longer always occur separately, but can in fact co-exist. After discussing the connection between the two-electron theory of monatomic crystals and the one-electron theory of diatomic crystals, the paper concludes by briefly outlining the recent developments in the one-electron theory of surface and impurity state interaction.