Abstract
Quantum-mechanical Green's functions have been applied to derive general formulas for the shifts in quasicontinuum levels and the changes in the corresponding wave functions in a system containing a locally connected moiety. The approach extends the long-chain approximation in polymethine dye theory.
Similar content being viewed by others
Literature cited
G. G. Dyadyusha and A. D. Kachkovskii, J. Inf. Rec. Mater.,13, No. 2, 95–104 (1985).
G. G. Dyadyusha and M. N. Ushomirskii, Teor. Éksp. Khim.,21, No. 3, 268–279 (1985).
G. C. Dyadyusha, A. D. Kachkovskii, and M. L. Dekhtyar', ibid., 24, No. 3, 257–262 (1988).
A. A. Ovchinnikov, I. I. Ukrainskii, and G. F. Kventsel', Usp. Fiz. Nauk,108, No. 1, 81–111 (1972).
M. M. Mestechkin, G. T. Klimko, and L. S. Gutyrya, Ukr. Fiz. Zh.,32, No. 8, 1154–1162 (1987).
A. D. Kachkovskii, Polymethine Dye Structures and Colors [in Russian], Naukova Dumka, Kiev (1989).
G. G. Dyadyusha, A. D. Kachkovsky, and M. L. Dekhtyar, J. Mol. Struct.,217, 195–206 (1990).
A. A. Levin, Zh. Fiz. Khim.,59, No. 5, 1167–1179 (1985).
G. F. Kventsel', Teor. Éksp. Khim.,4, No. 3, 291–298 (1968).
P. Kazadakov and O. Castano, J. Chem. Soc., Faraday Trans. II,78, 73–80 (1982).
E. Heilbronner, Helv. Chim. Acta,36, No. 1, 170–188 (1953).
Z. M. Lifshits, Zh. Éksp. Teor. Khim.,17, No. 12, 1076–1089 (1947).
D. N. Zubarev, Usp. Fiz. Nauk,71, No. 1, 71–116 (1960).
Additional information
Organic Chemistry Institute, Ukrainian Academy of Sciences, Kiev. Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vo. 27, No. 4, pp. 449–452, July–Agust, 1991. Original article submitted October 12, 1990.
Rights and permissions
About this article
Cite this article
Dyadyusha, G.G., Rozenbaum, V.M. & Dekhtyar', M.L. Green's function formalism and the long polymethine chain approximation. Theor Exp Chem 27, 389–392 (1991). https://doi.org/10.1007/BF01372512
Issue Date:
DOI: https://doi.org/10.1007/BF01372512