On the Theory of Surface and Impurity States

R. D. Levine*, A. T. Amos

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A formalism is developed for perturbation theory in which the Hamiltonian is resolved as H = H0 + V1 + V2 and the two perturbing potentials V1 and V2 are not treated in a symmetric fashion. All the operators are expressed in the H0 representation so that the formalism has particular applications in the theory of impurity states and surface and chemisorption states since H0 can be taken as that part of the Hamiltonian which acts on individual atomic sites, V1 the interatomic interaction and V2, which will have only a small number of non‐zero matrix elements, the effect of the surface or impurity atoms. These applications are illustrated using the linear chain as a model for a one‐dimensional crystal, and the present theory allows the results to be obtained in a very simple way.

Original languageEnglish
Pages (from-to)587-596
Number of pages10
JournalPhysica Status Solidi (B): Basic Research
Volume19
Issue number2
DOIs
StatePublished - 1967
Externally publishedYes

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