Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › Рецензирование
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 конференций › статья в сборнике материалов конференции › Рецензирование
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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