@article{f2801355a91c4618b39e7951144f3cde,
title = "On the analytical solutions of the Hamiltonian of a Frenkel exciton for the lattice of a regular polyhedral cluster",
abstract = "The Coulomb Hamiltonian of a small-radius exciton on a cluster whose atoms occupy the sites of a group lattice is studied. The spectrum of Frenkel excitons can be obtained analytically for definite modes by the methods of harmonic analysis of the lattice Hamiltonian. The carbon cluster C60 with icosahedral symmetry is given as an example.",
author = "Rotkin, {V. V.} and Kharlapenko, {S. F.}",
note = "Funding Information: We thank E. L. Ivchenko for a discussion which stimulated this work, and I. Yu. Solov{\textquoteright}ev for helpful remarks. This work was supported in part by Grant No. 96-02-17926 from the Russian Fund for Fundamental Research and Grant No. 98062 from the program {\textquoteleft}{\textquoteleft}Fullerenes and Atomic Clusters.{\textquoteright}{\textquoteright}",
year = "1998",
doi = "10.1134/1.567915",
language = "English (US)",
volume = "68",
pages = "606--610",
journal = "JETP Letters",
issn = "0021-3640",
publisher = "Pleiades Publishing",
number = "7",
}