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

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

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

APA

Fedotov, A., & Shchetka, E. (2018). Monodromy matrices for Harper equation. In A. Y. Kazakov, A. P. Kiselev, L. I. Goray, & O. V. Motygin (Eds.), Proceedings of the International Conference Days on Diffraction, DD 2018 (pp. 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. In Kazakov AY, Kiselev AP, Goray LI, Motygin OV, editors, Proceedings of the International Conference Days on Diffraction, DD 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 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. editor / A.Ya. Kazakov ; A.P. Kiselev ; L.I. Goray ; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 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