TY - JOUR
T1 - On the Theory of Surface and Impurity States
AU - Levine, R. D.
AU - Amos, A. T.
PY - 1967
Y1 - 1967
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84984102306&partnerID=8YFLogxK
U2 - 10.1002/pssb.19670190210
DO - 10.1002/pssb.19670190210
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AN - SCOPUS:84984102306
SN - 0370-1972
VL - 19
SP - 587
EP - 596
JO - Physica Status Solidi (B): Basic Research
JF - Physica Status Solidi (B): Basic Research
IS - 2
ER -