A new formalism for electron states at surfaces II. application to surface states

The formalism of the previous paper is applied to calculate surface states on two very simple models of a solid, in order to show the type of Green functions needed in practical applications of the theory. The first model is that of Shockley states in the gap of a nearly-free-electron band structure in one dimension. In the second model a band of surface states is split off from a single band in three dimensions.