Abstract
We have extended the transfer matrix technique to determine the Green's function for 1-dimensional systems with long range interactions. The formalism is applied to study the density of states and impurity modes of linear chains; calculations are presented for nearest and next nearest neighbors interactions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Hopfield, J. J.: Biophys. J.18, 311 (1977)
Brill, A. S.: Biophys. J.22, 139 (1978)
De Vault, D., Chance, B.: Biophys. J.6, 825 (1966)
Gomes, M. A. F., Ferreira, R. C.: Phys. Letters77A, 384 (1980)
Morton-Blake, D. A.: Int. J. Quantum Chem.18, 937 (1980)
Morton-Blake, D. A.: Theoret. Chim. Acta (Berl.)53, 65 (1979)
Morton-Blake, D. A.: Theoret. Chim. Acta (Berl.)56, 93 (1980)
Elliott, R. J., Krumhansl, J. A., Leath, P. L.: Rev. Mod. Phys.46, 465 (1974)
Author information
Authors and Affiliations
Additional information
Work partially supported by FINEP and CNPq.
Rights and permissions
About this article
Cite this article
Koiller, B., Brandi, H.S. Localized states in polymeric molecules. I. The transfer matrix for long range interactions. Theoret. Chim. Acta 60, 11–17 (1981). https://doi.org/10.1007/BF00554383
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00554383