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On the singular spectrum for adiabatic quasi-periodic schrödinger operators on the real line. / Fedotov, Alexander; Klopp, Frédéric.

в: Annales Henri Poincare, Том 5, № 5, 01.01.2004, стр. 929-978.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Fedotov, A & Klopp, F 2004, 'On the singular spectrum for adiabatic quasi-periodic schrödinger operators on the real line', Annales Henri Poincare, Том. 5, № 5, стр. 929-978. https://doi.org/10.1007/s00023-004-0186-4

APA

Fedotov, A., & Klopp, F. (2004). On the singular spectrum for adiabatic quasi-periodic schrödinger operators on the real line. Annales Henri Poincare, 5(5), 929-978. https://doi.org/10.1007/s00023-004-0186-4

Vancouver

Fedotov A, Klopp F. On the singular spectrum for adiabatic quasi-periodic schrödinger operators on the real line. Annales Henri Poincare. 2004 Янв. 1;5(5):929-978. https://doi.org/10.1007/s00023-004-0186-4

Author

Fedotov, Alexander ; Klopp, Frédéric. / On the singular spectrum for adiabatic quasi-periodic schrödinger operators on the real line. в: Annales Henri Poincare. 2004 ; Том 5, № 5. стр. 929-978.

BibTeX

@article{079fde49f76f4cd49cd5d329c20fb195,
title = "On the singular spectrum for adiabatic quasi-periodic schr{\"o}dinger operators on the real line",
abstract = "In this paper, we study spectral properties of a family of quasi-periodic Schr{\"o}dinger operators on the real line in the adiabatic limit. We assume that the adiabatic iso-energetic curves are extended along the momentum direction. In the energy intervals where this happens, we obtain an asymptotic formula for the Lyapunov exponent, and show that the spectrum is purely singular.",
author = "Alexander Fedotov and Fr{\'e}d{\'e}ric Klopp",
year = "2004",
month = jan,
day = "1",
doi = "10.1007/s00023-004-0186-4",
language = "English",
volume = "5",
pages = "929--978",
journal = "Annales Henri Poincare",
issn = "0018-0238",
publisher = "Birkh{\"a}user Verlag AG",
number = "5",

}

RIS

TY - JOUR

T1 - On the singular spectrum for adiabatic quasi-periodic schrödinger operators on the real line

AU - Fedotov, Alexander

AU - Klopp, Frédéric

PY - 2004/1/1

Y1 - 2004/1/1

N2 - In this paper, we study spectral properties of a family of quasi-periodic Schrödinger operators on the real line in the adiabatic limit. We assume that the adiabatic iso-energetic curves are extended along the momentum direction. In the energy intervals where this happens, we obtain an asymptotic formula for the Lyapunov exponent, and show that the spectrum is purely singular.

AB - In this paper, we study spectral properties of a family of quasi-periodic Schrödinger operators on the real line in the adiabatic limit. We assume that the adiabatic iso-energetic curves are extended along the momentum direction. In the energy intervals where this happens, we obtain an asymptotic formula for the Lyapunov exponent, and show that the spectrum is purely singular.

UR - http://www.scopus.com/inward/record.url?scp=5644258588&partnerID=8YFLogxK

U2 - 10.1007/s00023-004-0186-4

DO - 10.1007/s00023-004-0186-4

M3 - Article

AN - SCOPUS:5644258588

VL - 5

SP - 929

EP - 978

JO - Annales Henri Poincare

JF - Annales Henri Poincare

SN - 0018-0238

IS - 5

ER -

ID: 35927927