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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 изданиях › статья › Рецензирование
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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