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Spectrum of the monodromy operator of the schrödinger operator with a potential which is periodic with respect to time. / Korotyaev, E. L.

в: Journal of Soviet Mathematics, Том 21, № 5, 03.1983, стр. 715-717.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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@article{8641f37f6d2043c1ad3b6b0736409fa8,
title = "Spectrum of the monodromy operator of the schr{\"o}dinger operator with a potential which is periodic with respect to time",
abstract = "One considers the spectrum of the monodromy operator of the Schr{\"o}dinger operator ℏ (t) =- Δ +x (x, t) with a potential which is periodic with respect to time. It is shown that under certain conditions on the potential there is no singular continuous spectrum and one investigates the point spectrum of the monodromy operator. Under certain conditions on the potential q(x, t), periodic with respect to time, one shows the absence of the singular continuous spectrum for the monodromy operator corresponding to the Schr{\"o}dinger operator - Δ+q,(x,t).",
author = "Korotyaev, {E. L.}",
year = "1983",
month = mar,
doi = "10.1007/BF01094434",
language = "English",
volume = "21",
pages = "715--717",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Spectrum of the monodromy operator of the schrödinger operator with a potential which is periodic with respect to time

AU - Korotyaev, E. L.

PY - 1983/3

Y1 - 1983/3

N2 - One considers the spectrum of the monodromy operator of the Schrödinger operator ℏ (t) =- Δ +x (x, t) with a potential which is periodic with respect to time. It is shown that under certain conditions on the potential there is no singular continuous spectrum and one investigates the point spectrum of the monodromy operator. Under certain conditions on the potential q(x, t), periodic with respect to time, one shows the absence of the singular continuous spectrum for the monodromy operator corresponding to the Schrödinger operator - Δ+q,(x,t).

AB - One considers the spectrum of the monodromy operator of the Schrödinger operator ℏ (t) =- Δ +x (x, t) with a potential which is periodic with respect to time. It is shown that under certain conditions on the potential there is no singular continuous spectrum and one investigates the point spectrum of the monodromy operator. Under certain conditions on the potential q(x, t), periodic with respect to time, one shows the absence of the singular continuous spectrum for the monodromy operator corresponding to the Schrödinger operator - Δ+q,(x,t).

UR - http://www.scopus.com/inward/record.url?scp=34250154941&partnerID=8YFLogxK

U2 - 10.1007/BF01094434

DO - 10.1007/BF01094434

M3 - Article

AN - SCOPUS:34250154941

VL - 21

SP - 715

EP - 717

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 86259435