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On the eigenfunctions of the monodromy operator of the schrodinger operator with a time-periodic potential. / Korotyaev, E. L.

в: Mathematics of the USSR - Sbornik, Том 52, № 2, 28.02.1985, стр. 423-438.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Korotyaev, E. L. / On the eigenfunctions of the monodromy operator of the schrodinger operator with a time-periodic potential. в: Mathematics of the USSR - Sbornik. 1985 ; Том 52, № 2. стр. 423-438.

BibTeX

@article{25173eb4234a4dfcaf4a7214261c27b9,
title = "On the eigenfunctions of the monodromy operator of the schrodinger operator with a time-periodic potential",
abstract = "It is shown that the eigenfunctions of the monodromy operator of the Schrod- inger operator (with a potential periodic in time and rapidly decreasing in the space variables) decay in the space variables faster than any power. The spectrum of the monodromy operator is also investigated. It is proved that 1) the monodromy operator has no singular continuous spectrum; and 2) the total number of eigenfunctions of the monodromy operator (counting multiplicity) is finite.",
author = "Korotyaev, {E. L.}",
year = "1985",
month = feb,
day = "28",
doi = "10.1070/SM1985v052n02ABEH002898",
language = "English",
volume = "52",
pages = "423--438",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "2",

}

RIS

TY - JOUR

T1 - On the eigenfunctions of the monodromy operator of the schrodinger operator with a time-periodic potential

AU - Korotyaev, E. L.

PY - 1985/2/28

Y1 - 1985/2/28

N2 - It is shown that the eigenfunctions of the monodromy operator of the Schrod- inger operator (with a potential periodic in time and rapidly decreasing in the space variables) decay in the space variables faster than any power. The spectrum of the monodromy operator is also investigated. It is proved that 1) the monodromy operator has no singular continuous spectrum; and 2) the total number of eigenfunctions of the monodromy operator (counting multiplicity) is finite.

AB - It is shown that the eigenfunctions of the monodromy operator of the Schrod- inger operator (with a potential periodic in time and rapidly decreasing in the space variables) decay in the space variables faster than any power. The spectrum of the monodromy operator is also investigated. It is proved that 1) the monodromy operator has no singular continuous spectrum; and 2) the total number of eigenfunctions of the monodromy operator (counting multiplicity) is finite.

UR - http://www.scopus.com/inward/record.url?scp=84956234198&partnerID=8YFLogxK

U2 - 10.1070/SM1985v052n02ABEH002898

DO - 10.1070/SM1985v052n02ABEH002898

M3 - Article

AN - SCOPUS:84956234198

VL - 52

SP - 423

EP - 438

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 2

ER -

ID: 86259136