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Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. / Fedotov, Alexander; Klopp, Frédéric.

в: Annales Scientifiques de l'Ecole Normale Superieure, Том 38, № 6, 01.11.2005, стр. 889-950.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Fedotov, Alexander ; Klopp, Frédéric. / Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators. в: Annales Scientifiques de l'Ecole Normale Superieure. 2005 ; Том 38, № 6. стр. 889-950.

BibTeX

@article{8bc28708f1ea448eb6a7687e3f984775,
title = "Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schr{\"o}dinger operators",
abstract = "In this paper, we consider one-dimensional adiabatic quasi-periodic Schr{\"o}dinger operators in the regime of strong resonant tunneling. We show the emergence of a level repulsion phenomenon which is seen to be very naturally related to the local spectral type of the operator: the more singular the spectrum, the weaker the repulsion.",
author = "Alexander Fedotov and Fr{\'e}d{\'e}ric Klopp",
year = "2005",
month = nov,
day = "1",
doi = "10.1016/j.ansens.2005.10.002",
language = "English",
volume = "38",
pages = "889--950",
journal = "Annales Scientifiques de l'Ecole Normale Superieure",
issn = "0012-9593",
publisher = "Societe Mathematique de France",
number = "6",

}

RIS

TY - JOUR

T1 - Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators

AU - Fedotov, Alexander

AU - Klopp, Frédéric

PY - 2005/11/1

Y1 - 2005/11/1

N2 - In this paper, we consider one-dimensional adiabatic quasi-periodic Schrödinger operators in the regime of strong resonant tunneling. We show the emergence of a level repulsion phenomenon which is seen to be very naturally related to the local spectral type of the operator: the more singular the spectrum, the weaker the repulsion.

AB - In this paper, we consider one-dimensional adiabatic quasi-periodic Schrödinger operators in the regime of strong resonant tunneling. We show the emergence of a level repulsion phenomenon which is seen to be very naturally related to the local spectral type of the operator: the more singular the spectrum, the weaker the repulsion.

UR - http://www.scopus.com/inward/record.url?scp=33645062171&partnerID=8YFLogxK

U2 - 10.1016/j.ansens.2005.10.002

DO - 10.1016/j.ansens.2005.10.002

M3 - Article

AN - SCOPUS:33645062171

VL - 38

SP - 889

EP - 950

JO - Annales Scientifiques de l'Ecole Normale Superieure

JF - Annales Scientifiques de l'Ecole Normale Superieure

SN - 0012-9593

IS - 6

ER -

ID: 35927757