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Nanosystems: Physics, Chemistry, Mathematics, 2022, Volume 13, Issue 1, Pages 12–16
DOI: https://doi.org/10.17586/2220-8054-2022-13-1-12-16 (Mi nano1079) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

A model of sheared nanoribbons

Ph. Brietabc

a Aix-Marseille Université, France
b Université de Toulon, France
c CNRS – Center of Theoretical Physics, France
Full-text PDF (545 kB) Citations (1)
DOI: https://doi.org/10.17586/2220-8054-2022-13-1-12-16
Abstract: In this note, we investigate the spectral properties of the Dirichlet Laplacian defined on an infinite band subject to a “shearing”. We give conditions for which the shear does not produce discret eigenvalue. In a second part we discuss the existence of discrete spectrum.
Keywords: quantum waveguide, sheared band, Hardy inequality.
Received: 07.01.2022
Revised: 09.01.2022
Bibliographic databases:
Document Type: Article
PACS: 35R45, 85Q10
Language: English
Citation: Ph. Briet, “A model of sheared nanoribbons”, Nanosystems: Physics, Chemistry, Mathematics, 13:1 (2022), 12–16
Citation in format AMSBIB
\Bibitem{Bri22}
\by Ph.~Briet
\paper A model of sheared nanoribbons
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2022
\vol 13
\issue 1
\pages 12--16
\mathnet{http://mi.mathnet.ru/nano1079}
\crossref{https://doi.org/10.17586/2220-8054-2022-13-1-12-16}
\elib{https://elibrary.ru/item.asp?id=48016819}
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  • https://www.mathnet.ru/eng/nano/v13/i1/p12
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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