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Inverse problem for the discrete 1D Schrödinger operator with small periodic potentials. / Korotyaev, Evgeny; Kutsenko, Anton.

In: Communications in Mathematical Physics, Vol. 261, No. 3, 02.2006, p. 673-692.

Research output: Contribution to journal › Article › peer-review

Harvard

Korotyaev, E & Kutsenko, A 2006, 'Inverse problem for the discrete 1D Schrödinger operator with small periodic potentials', Communications in Mathematical Physics, vol. 261, no. 3, pp. 673-692. https://doi.org/10.1007/s00220-005-1429-z

APA

Korotyaev, E., & Kutsenko, A. (2006). Inverse problem for the discrete 1D Schrödinger operator with small periodic potentials. Communications in Mathematical Physics, 261(3), 673-692. https://doi.org/10.1007/s00220-005-1429-z

Vancouver

Korotyaev E, Kutsenko A. Inverse problem for the discrete 1D Schrödinger operator with small periodic potentials. Communications in Mathematical Physics. 2006 Feb;261(3):673-692. https://doi.org/10.1007/s00220-005-1429-z

Author

Korotyaev, Evgeny ; Kutsenko, Anton. / Inverse problem for the discrete 1D Schrödinger operator with small periodic potentials. In: Communications in Mathematical Physics. 2006 ; Vol. 261, No. 3. pp. 673-692.

BibTeX

@article{adfca90637234fce971044a877d10328,
title = "Inverse problem for the discrete 1D Schr{\"o}dinger operator with small periodic potentials",
abstract = "Consider the discrete 1D Schr{\"o}dinger operator on ℤ with an odd 2k periodic potential q. For small potentials we show that the mapping: q→ heights of vertical slits on the quasi-momentum domain (similar to the Marchenko-Ostrovski maping for the Hill operator) is a local isomorphism and the isospectral set consists of 2 k distinct potentials. Finally, the asymptotics of the spectrum are determined as q→0.",
author = "Evgeny Korotyaev and Anton Kutsenko",
year = "2006",
month = feb,
doi = "10.1007/s00220-005-1429-z",
language = "English",
volume = "261",
pages = "673--692",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Inverse problem for the discrete 1D Schrödinger operator with small periodic potentials

AU - Korotyaev, Evgeny

AU - Kutsenko, Anton

PY - 2006/2

Y1 - 2006/2

N2 - Consider the discrete 1D Schrödinger operator on ℤ with an odd 2k periodic potential q. For small potentials we show that the mapping: q→ heights of vertical slits on the quasi-momentum domain (similar to the Marchenko-Ostrovski maping for the Hill operator) is a local isomorphism and the isospectral set consists of 2 k distinct potentials. Finally, the asymptotics of the spectrum are determined as q→0.

AB - Consider the discrete 1D Schrödinger operator on ℤ with an odd 2k periodic potential q. For small potentials we show that the mapping: q→ heights of vertical slits on the quasi-momentum domain (similar to the Marchenko-Ostrovski maping for the Hill operator) is a local isomorphism and the isospectral set consists of 2 k distinct potentials. Finally, the asymptotics of the spectrum are determined as q→0.

UR - http://www.scopus.com/inward/record.url?scp=29144461963&partnerID=8YFLogxK

U2 - 10.1007/s00220-005-1429-z

DO - 10.1007/s00220-005-1429-z

M3 - Article

AN - SCOPUS:29144461963

VL - 261

SP - 673

EP - 692

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -

ID: 86257234