Magnetic transport due to a translationally invariant potential obstacle
Mathematical Physics
2024-10-22 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
We consider a two-dimensional system in which a charged particle is exposed to a homogeneous magnetic field perpendicular to the plane and a potential that is translationally invariant in one dimension. We derive several conditions on such a perturbation under which the Landau levels change into an absolutely continuous spectrum.
Keywords
Cite
@article{arxiv.2410.16036,
title = {Magnetic transport due to a translationally invariant potential obstacle},
author = {Pavel Exner and David Spitzkopf},
journal= {arXiv preprint arXiv:2410.16036},
year = {2024}
}
Comments
12 pages, 4 figures