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Monodromy matrices for Harper equation. / Fedotov, A.; Shchetka, E.

Proceedings of the International Conference Days on Diffraction, DD 2018. ред. / A.Ya. Kazakov; A.P. Kiselev; L.I. Goray; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. стр. 102-105 8553420.

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференцииРецензирование

Harvard

Fedotov, A & Shchetka, E 2018, Monodromy matrices for Harper equation. в AY Kazakov, AP Kiselev, LI Goray & OV Motygin (ред.), Proceedings of the International Conference Days on Diffraction, DD 2018., 8553420, Institute of Electrical and Electronics Engineers Inc., стр. 102-105, 2018 International Conference Days on Diffraction, DD 2018, St. Petersburg, Российская Федерация, 4/06/18. https://doi.org/10.1109/DD.2018.8553420

APA

Fedotov, A., & Shchetka, E. (2018). Monodromy matrices for Harper equation. в A. Y. Kazakov, A. P. Kiselev, L. I. Goray, & O. V. Motygin (Ред.), Proceedings of the International Conference Days on Diffraction, DD 2018 (стр. 102-105). [8553420] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2018.8553420

Vancouver

Fedotov A, Shchetka E. Monodromy matrices for Harper equation. в Kazakov AY, Kiselev AP, Goray LI, Motygin OV, Редакторы, Proceedings of the International Conference Days on Diffraction, DD 2018. Institute of Electrical and Electronics Engineers Inc. 2018. стр. 102-105. 8553420 https://doi.org/10.1109/DD.2018.8553420

Author

Fedotov, A. ; Shchetka, E. / Monodromy matrices for Harper equation. Proceedings of the International Conference Days on Diffraction, DD 2018. Редактор / A.Ya. Kazakov ; A.P. Kiselev ; L.I. Goray ; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. стр. 102-105

BibTeX

@inproceedings{7603437093b24e1c99448fa4dffe4b91,
title = "Monodromy matrices for Harper equation",
abstract = "We consider the Harper equation ψ(x + h) + ψ(x - h) + 2λ cos (2πx)ψ(x) = Eψ(x), x R, where h > 0, 0 < λ ≤ 1, and E ϵ R are parameters. This equation appears as a model in solid state physics and has intriguing spectral properties. In the quasiclassical limit, i.e., as h → 0, we describe the asymptotics of monodromy matrices for the Harper equation. This enables us to get information on the asymptotic structure of the spectrum.",
author = "A. Fedotov and E. Shchetka",
year = "2018",
doi = "10.1109/DD.2018.8553420",
language = "English",
isbn = "978-1-7281-0313-6",
pages = "102--105",
editor = "A.Ya. Kazakov and A.P. Kiselev and L.I. Goray and O.V. Motygin",
booktitle = "Proceedings of the International Conference Days on Diffraction, DD 2018",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2018 International Conference Days on Diffraction, DD 2018 ; Conference date: 04-06-2018 Through 08-06-2018",

}

RIS

TY - GEN

T1 - Monodromy matrices for Harper equation

AU - Fedotov, A.

AU - Shchetka, E.

PY - 2018

Y1 - 2018

N2 - We consider the Harper equation ψ(x + h) + ψ(x - h) + 2λ cos (2πx)ψ(x) = Eψ(x), x R, where h > 0, 0 < λ ≤ 1, and E ϵ R are parameters. This equation appears as a model in solid state physics and has intriguing spectral properties. In the quasiclassical limit, i.e., as h → 0, we describe the asymptotics of monodromy matrices for the Harper equation. This enables us to get information on the asymptotic structure of the spectrum.

AB - We consider the Harper equation ψ(x + h) + ψ(x - h) + 2λ cos (2πx)ψ(x) = Eψ(x), x R, where h > 0, 0 < λ ≤ 1, and E ϵ R are parameters. This equation appears as a model in solid state physics and has intriguing spectral properties. In the quasiclassical limit, i.e., as h → 0, we describe the asymptotics of monodromy matrices for the Harper equation. This enables us to get information on the asymptotic structure of the spectrum.

UR - http://www.scopus.com/inward/record.url?scp=85060036095&partnerID=8YFLogxK

U2 - 10.1109/DD.2018.8553420

DO - 10.1109/DD.2018.8553420

M3 - Conference contribution

AN - SCOPUS:85060036095

SN - 978-1-7281-0313-6

SP - 102

EP - 105

BT - Proceedings of the International Conference Days on Diffraction, DD 2018

A2 - Kazakov, A.Ya.

A2 - Kiselev, A.P.

A2 - Goray, L.I.

A2 - Motygin, O.V.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2018 International Conference Days on Diffraction, DD 2018

Y2 - 4 June 2018 through 8 June 2018

ER -

ID: 36366100