NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (5), P. 611–617
Waveguide bands for a system of macromolecules
V. M. Adamyan – Odessa I. I. Mechnikov National University, Dvoryanskaya str., 2, Odessa, 65082, Ukraine
I. V. Blinova – ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia
A. I. Popov – ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia
I. Yu. Popov – ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia; popov1955@gmail.com
A system of parallel chain-type macromolecules (linear polymers) is considered. The spectrum of an electron in such a system is described. Waveguide bands are shown to be present, ensuring conductivity. Consideration is undertaken within the framework of a zero-range potentials model based on the theory of self-adjoint extensions of symmetric operators. Possible applications also discussed.
Keywords: spectrum, linear polymer, zero-range potential.
PACS 72.80.Le; 03.65 Nk
DOI 10.17586/2220-8054-2015-6-5-611-617
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