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Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others. / Filonov, N.; Klopp, F.

в: Documenta Mathematica, Том 9, № 1, 01.12.2004, стр. 107-121.

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Harvard

Filonov, N & Klopp, F 2004, 'Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others', Documenta Mathematica, Том. 9, № 1, стр. 107-121.

APA

Filonov, N., & Klopp, F. (2004). Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others. Documenta Mathematica, 9(1), 107-121.

Vancouver

Filonov N, Klopp F. Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others. Documenta Mathematica. 2004 Дек. 1;9(1):107-121.

Author

Filonov, N. ; Klopp, F. / Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others. в: Documenta Mathematica. 2004 ; Том 9, № 1. стр. 107-121.

BibTeX

@article{19011fe0c2234bbd84f9aa3a3a50480c,
title = "Absolute continuity of the spectrum of a Schr{\"o}dinger operator with a potential which is periodic in some directions and decays in others",
abstract = "We prove that the spectrum of a Schr{\"o}dinger operator with a potential which is periodic in certain directions and super-exponentially decaying in the others is purely absolutely continuous. Therefore, we reduce the operator using the Bloch-Floquet-Gelfand transform in the periodic variables, and show that, except for at most a set of quasi-momenta of measure zero, the reduced operators satisfies a limiting absorption principle.",
author = "N. Filonov and F. Klopp",
year = "2004",
month = dec,
day = "1",
language = "English",
volume = "9",
pages = "107--121",
journal = "Documenta Mathematica",
issn = "1431-0635",
publisher = "Deutsche Mathematiker Vereinigung",
number = "1",

}

RIS

TY - JOUR

T1 - Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others

AU - Filonov, N.

AU - Klopp, F.

PY - 2004/12/1

Y1 - 2004/12/1

N2 - We prove that the spectrum of a Schrödinger operator with a potential which is periodic in certain directions and super-exponentially decaying in the others is purely absolutely continuous. Therefore, we reduce the operator using the Bloch-Floquet-Gelfand transform in the periodic variables, and show that, except for at most a set of quasi-momenta of measure zero, the reduced operators satisfies a limiting absorption principle.

AB - We prove that the spectrum of a Schrödinger operator with a potential which is periodic in certain directions and super-exponentially decaying in the others is purely absolutely continuous. Therefore, we reduce the operator using the Bloch-Floquet-Gelfand transform in the periodic variables, and show that, except for at most a set of quasi-momenta of measure zero, the reduced operators satisfies a limiting absorption principle.

UR - http://www.scopus.com/inward/record.url?scp=18644369113&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:18644369113

VL - 9

SP - 107

EP - 121

JO - Documenta Mathematica

JF - Documenta Mathematica

SN - 1431-0635

IS - 1

ER -

ID: 51315052