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JOURNALS // Nanosystems: Physics, Chemistry, Mathematics // Archive

Nanosystems: Physics, Chemistry, Mathematics, 2015 Volume 6, Issue 5, Pages 611–617 (Mi nano973)

This article is cited in 2 papers

Waveguide bands for a system of macromolecules

V. M. Adamyana, I. V. Blinovab, A. I. Popovb, I. Yu. Popovb

a Odessa I. I. Mechnikov National University, Dvoryanskaya str., 2, Odessa, 65082, Ukraine
b ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia

Abstract: 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

Received: 15.09.2015
Revised: 25.09.2015

Language: English

DOI: 10.17586/2220-8054-2015-6-5-611-617



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