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Geometric tools of the adiabatic complex WKB method. / Fedotov, Alexander; Klopp, Frédéric.

в: Asymptotic Analysis, Том 39, № 3-4, 01.12.2004, стр. 309-357.

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

Harvard

Fedotov, A & Klopp, F 2004, 'Geometric tools of the adiabatic complex WKB method', Asymptotic Analysis, Том. 39, № 3-4, стр. 309-357.

APA

Fedotov, A., & Klopp, F. (2004). Geometric tools of the adiabatic complex WKB method. Asymptotic Analysis, 39(3-4), 309-357.

Vancouver

Fedotov A, Klopp F. Geometric tools of the adiabatic complex WKB method. Asymptotic Analysis. 2004 Дек. 1;39(3-4):309-357.

Author

Fedotov, Alexander ; Klopp, Frédéric. / Geometric tools of the adiabatic complex WKB method. в: Asymptotic Analysis. 2004 ; Том 39, № 3-4. стр. 309-357.

BibTeX

@article{a53f745f955547ce94dd691e037260d4,
title = "Geometric tools of the adiabatic complex WKB method",
abstract = "The description of the main geometric and analytic tools of a complex WKB method for adiabatic problems was discussed. The asymptotic behavior of solutions of the one-dimensional Schr{\"o}dingerequation was also discussed. In solid state physics, these equations model behavior of electrons in crystals placed in an external field. An analog was developed to study these exponentially small effects.",
keywords = "Adiabatic perturbations, Asymptotics of solutions, Complex WKB method, Periodic Schr{\"o}dinger equation",
author = "Alexander Fedotov and Fr{\'e}d{\'e}ric Klopp",
year = "2004",
month = dec,
day = "1",
language = "English",
volume = "39",
pages = "309--357",
journal = "Asymptotic Analysis",
issn = "0921-7134",
publisher = "IOS Press",
number = "3-4",

}

RIS

TY - JOUR

T1 - Geometric tools of the adiabatic complex WKB method

AU - Fedotov, Alexander

AU - Klopp, Frédéric

PY - 2004/12/1

Y1 - 2004/12/1

N2 - The description of the main geometric and analytic tools of a complex WKB method for adiabatic problems was discussed. The asymptotic behavior of solutions of the one-dimensional Schrödingerequation was also discussed. In solid state physics, these equations model behavior of electrons in crystals placed in an external field. An analog was developed to study these exponentially small effects.

AB - The description of the main geometric and analytic tools of a complex WKB method for adiabatic problems was discussed. The asymptotic behavior of solutions of the one-dimensional Schrödingerequation was also discussed. In solid state physics, these equations model behavior of electrons in crystals placed in an external field. An analog was developed to study these exponentially small effects.

KW - Adiabatic perturbations

KW - Asymptotics of solutions

KW - Complex WKB method

KW - Periodic Schrödinger equation

UR - http://www.scopus.com/inward/record.url?scp=22044444406&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:22044444406

VL - 39

SP - 309

EP - 357

JO - Asymptotic Analysis

JF - Asymptotic Analysis

SN - 0921-7134

IS - 3-4

ER -

ID: 35928015