Abstract
A general form of the Hamiltonian for the calculation of vibrations of objects with a periodic structure is proposed by the example of oligomers. It is shown that the solution of the corresponding Schröbinger equation can be found with various degrees of accuracy in the form of a linear combination (LC) possessing the completeness properties of basic functions corresponding to normal waves.
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References
L. A. Gribov, Theory of Infrared Spectra of Polymers (Nauka, Moscow, 1977) [in Russian].
M. V. Vol’kenshtein, L. A. Gribov, M. A. El’yashevich, and B. I. Stepanov, Vibrations of Molecules (Nauka, Moscow, 1972) [in Russian].
L. A. Gribov, Vibrations of Molecules (LIBROKOM, Moscow, 2009) [in Russian].
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Original Russian Text © L.A. Gribov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 462, No. 5, pp. 532–535.
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Gribov, L.A. Hamiltonian for the problem of vibrations of finite-size nanoobjects with a periodic structure: Oligomers. Dokl. Phys. 60, 245–248 (2015). https://doi.org/10.1134/S1028335815060051
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DOI: https://doi.org/10.1134/S1028335815060051