  When an electron tunnels from a metal into the barrier in a magnetic tunnel
junction it has to cross the interface. Deep in the metal the eigenstates for
the electron can be labelled by the point symmetry group of the bulk but around
the interface this symmetry is reduced and one has to use linear combinations
of the bulk states to form the eigenstates labelled by the irreducible
representations of the point symmetry group of the interface. In this way there
can be states localized at the interface which control tunneling. The
conclusions as to which are the dominant tunneling states are different from
that conventionally found.
