A model of sheared nanoribbons
Nanosistemy: fizika, himiâ, matematika, Tome 13 (2022) no. 1, pp. 12-16.

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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.
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Ph. Briet. A model of sheared nanoribbons. Nanosistemy: fizika, himiâ, matematika, Tome 13 (2022) no. 1, pp. 12-16. http://geodesic.mathdoc.fr/item/NANO_2022_13_1_a1/