Magnetic transport due to a translationally invariant potential obstacle

Fuente: arXiv
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Autori principali: Exner, Pavel, Spitzkopf, David
Natura: Preprint
Pubblicazione: 2024
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author Exner, Pavel
Spitzkopf, David
author_facet Exner, Pavel
Spitzkopf, David
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_16036
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Magnetic transport due to a translationally invariant potential obstacle
Exner, Pavel
Spitzkopf, David
Mathematical Physics
Spectral Theory
Quantum Physics
81Q10, 35J10
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.
title Magnetic transport due to a translationally invariant potential obstacle
topic Mathematical Physics
Spectral Theory
Quantum Physics
81Q10, 35J10
url https://arxiv.org/abs/2410.16036