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.
@article{NANO_2022_13_1_a1,
author = {Ph. Briet},
title = {A model of sheared nanoribbons},
journal = {Nanosistemy: fizika, himi\^a, matematika},
pages = {12--16},
year = {2022},
volume = {13},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/NANO_2022_13_1_a1/}
}
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/