Absolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the strip

Hernán González; Christian Sadel

doi:10.1007/s11005-023-01632-8

Absolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the strip

Hernán González, Christian Sadel

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We consider a family of random Schrödinger operators on the discrete strip with decaying random ℓ² matrix potential. We prove that the spectrum is almost surely pure absolutely continuous, apart from random, possibly embedded, eigenvalues which may accumulate at band edges.

Original language	English
Article number	9
Journal	Letters in Mathematical Physics
Volume	113
Issue number	1
DOIs	https://doi.org/10.1007/s11005-023-01632-8
State	Published - Feb 2023
Externally published	Yes

Keywords

Absolutely continuous spectrum
Extended states
Random decaying potential

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10.1007/s11005-023-01632-8

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title = "Absolutely continuous spectrum for Schr{\"o}dinger operators with random decaying matrix potentials on the strip",

abstract = "We consider a family of random Schr{\"o}dinger operators on the discrete strip with decaying random ℓ2 matrix potential. We prove that the spectrum is almost surely pure absolutely continuous, apart from random, possibly embedded, eigenvalues which may accumulate at band edges.",

keywords = "Absolutely continuous spectrum, Extended states, Random decaying potential",

author = "Hern{\'a}n Gonz{\'a}lez and Christian Sadel",

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AU - Sadel, Christian

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AB - We consider a family of random Schrödinger operators on the discrete strip with decaying random ℓ2 matrix potential. We prove that the spectrum is almost surely pure absolutely continuous, apart from random, possibly embedded, eigenvalues which may accumulate at band edges.

KW - Absolutely continuous spectrum

KW - Extended states

KW - Random decaying potential

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DO - 10.1007/s11005-023-01632-8

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Absolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the strip

Abstract

Keywords

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