Application of the resolvents of some simple linear operators to the study of local vibrations and local electronic states in one-dimensional chains

TY - JOUR

T1 - Application of the resolvents of some simple linear operators to the study of local vibrations and local electronic states in one-dimensional chains

AU - Karadakov, P.

AU - Castaño, O.

PY - 1982/1/1

Y1 - 1982/1/1

N2 - A derivation of analytical formulae is proposed for the resolvents (Green-function matrices) of linear operators represented by tridiagonal symmetric periodic matrices of arbitrary order. Applications to model studies of local vibrations and local electronic states in one-dimensional clusters, resulting from local perturbations, have been considered in the framework of the tight-binding approximation.

AB - A derivation of analytical formulae is proposed for the resolvents (Green-function matrices) of linear operators represented by tridiagonal symmetric periodic matrices of arbitrary order. Applications to model studies of local vibrations and local electronic states in one-dimensional clusters, resulting from local perturbations, have been considered in the framework of the tight-binding approximation.

UR - http://www.scopus.com/inward/record.url?scp=49049135622&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:49049135622

SN - 0022-2860

VL - 90

SP - 115

EP - 125

JO - JOURNAL OF MOLECULAR STRUCTURE

JF - JOURNAL OF MOLECULAR STRUCTURE

IS - C

ER -