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Scattering problem for a slowly decreasing potential that is periodically dependent on time. / Korotyaev, E. L.

в: Journal of Soviet Mathematics, Том 21, № 3, 02.1983, стр. 333-334.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Korotyaev, E. L. / Scattering problem for a slowly decreasing potential that is periodically dependent on time. в: Journal of Soviet Mathematics. 1983 ; Том 21, № 3. стр. 333-334.

BibTeX

@article{f619efa08cdf44928f005928fdf0d914,
title = "Scattering problem for a slowly decreasing potential that is periodically dependent on time",
abstract = "The multidimensional Schr{\"o}dinger operator[Figure not available: see fulltext.] with a periodic timedependent potential is considered. The potential may decrease slowly with respect to the space variable and its mean value with respect to time is equal to zero. It is shown that for the pair H0=-Δ, H, there exist wave operators, and their ranges coincide with the absolutely continuous subspace of the corresponding monodromy operator.",
author = "Korotyaev, {E. L.}",
year = "1983",
month = feb,
doi = "10.1007/BF01660589",
language = "English",
volume = "21",
pages = "333--334",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Scattering problem for a slowly decreasing potential that is periodically dependent on time

AU - Korotyaev, E. L.

PY - 1983/2

Y1 - 1983/2

N2 - The multidimensional Schrödinger operator[Figure not available: see fulltext.] with a periodic timedependent potential is considered. The potential may decrease slowly with respect to the space variable and its mean value with respect to time is equal to zero. It is shown that for the pair H0=-Δ, H, there exist wave operators, and their ranges coincide with the absolutely continuous subspace of the corresponding monodromy operator.

AB - The multidimensional Schrödinger operator[Figure not available: see fulltext.] with a periodic timedependent potential is considered. The potential may decrease slowly with respect to the space variable and its mean value with respect to time is equal to zero. It is shown that for the pair H0=-Δ, H, there exist wave operators, and their ranges coincide with the absolutely continuous subspace of the corresponding monodromy operator.

UR - http://www.scopus.com/inward/record.url?scp=34250146800&partnerID=8YFLogxK

U2 - 10.1007/BF01660589

DO - 10.1007/BF01660589

M3 - Article

AN - SCOPUS:34250146800

VL - 21

SP - 333

EP - 334

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 86259540