In this article I describe the embedding method and review its application
to surface problems. In this method an embedding potential is added on to t
he Hamiltonian of the region of interest - here the surface - to take full
account of the effect of the substrate. After deriving the method, applicat
ions to the electronic structure of several surfaces are reviewed, and adso
rbate studies are described. The method can also be used to study confined
electrons, and surface applications of this are given. Finally, the real sp
ace embedding method is related to embedding in the linear combination of a
tomic orbitals method. (C) 2001 Elsevier Science B.V. All rights reserved.