This article is cited in 1 paper

MATHEMATICS

A model of sheared nanoribbons

Ph. Briet<sup>abc

a</sup> Aix-Marseille Université, France
^b Université de Toulon, France
^c CNRS – Center of Theoretical Physics, France

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.

PACS: 35R45, 85Q10

Received: 07.01.2022
Revised: 09.01.2022

Language: English

DOI: 10.17586/2220-8054-2022-13-1-12-16

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