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Eigenvalue bounds for stark operators with complex potentials. / Korotyaev, Evgeny; Safronov, Oleg.

In: Transactions of the American Mathematical Society, Vol. 373, No. 2, 02.2020, p. 971-1008.

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

Harvard

Korotyaev, E & Safronov, O 2020, 'Eigenvalue bounds for stark operators with complex potentials', Transactions of the American Mathematical Society, vol. 373, no. 2, pp. 971-1008. https://doi.org/10.1090/tran/7873

APA

Korotyaev, E., & Safronov, O. (2020). Eigenvalue bounds for stark operators with complex potentials. Transactions of the American Mathematical Society, 373(2), 971-1008. https://doi.org/10.1090/tran/7873

Vancouver

Korotyaev E, Safronov O. Eigenvalue bounds for stark operators with complex potentials. Transactions of the American Mathematical Society. 2020 Feb;373(2):971-1008. https://doi.org/10.1090/tran/7873

Author

Korotyaev, Evgeny ; Safronov, Oleg. / Eigenvalue bounds for stark operators with complex potentials. In: Transactions of the American Mathematical Society. 2020 ; Vol. 373, No. 2. pp. 971-1008.

BibTeX

@article{8e8f1da2b1c14479ad9607598a59b27c,
title = "Eigenvalue bounds for stark operators with complex potentials",
abstract = "We consider the three-dimensional Stark operator perturbed by a complex-valued potential. We obtain an estimate for the number of eigenvalues of this operator as well as for the sum of imaginary parts of eigenvalues situated in the upper half-plane.",
keywords = "Complex potentials, Eigenvalue estimates, Stark operators, NUMBER, INEQUALITIES, LADDER, FIELD, ASYMPTOTIC COMPLETENESS, SOBOLEV, eigenvalue estimates, complex potentials, RESONANCES, SCHRODINGER-OPERATORS",
author = "Evgeny Korotyaev and Oleg Safronov",
note = "Funding Information: Received by the editors February 12, 2018, and, in revised form, February 19, 2018, January 6, 2019, February 8, 2019, and April 9, 2019. 2010 Mathematics Subject Classification. Primary 35P15; Secondary 47A75. Key words and phrases. Stark operators, complex potentials, eigenvalue estimates. The first author was supported by RSF Grant No. 18-11-00032. Publisher Copyright: {\textcopyright} 2019 American Mathematical Society. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = feb,
doi = "10.1090/tran/7873",
language = "English",
volume = "373",
pages = "971--1008",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Eigenvalue bounds for stark operators with complex potentials

AU - Korotyaev, Evgeny

AU - Safronov, Oleg

N1 - Funding Information: Received by the editors February 12, 2018, and, in revised form, February 19, 2018, January 6, 2019, February 8, 2019, and April 9, 2019. 2010 Mathematics Subject Classification. Primary 35P15; Secondary 47A75. Key words and phrases. Stark operators, complex potentials, eigenvalue estimates. The first author was supported by RSF Grant No. 18-11-00032. Publisher Copyright: © 2019 American Mathematical Society. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/2

Y1 - 2020/2

N2 - We consider the three-dimensional Stark operator perturbed by a complex-valued potential. We obtain an estimate for the number of eigenvalues of this operator as well as for the sum of imaginary parts of eigenvalues situated in the upper half-plane.

AB - We consider the three-dimensional Stark operator perturbed by a complex-valued potential. We obtain an estimate for the number of eigenvalues of this operator as well as for the sum of imaginary parts of eigenvalues situated in the upper half-plane.

KW - Complex potentials

KW - Eigenvalue estimates

KW - Stark operators

KW - NUMBER

KW - INEQUALITIES

KW - LADDER

KW - FIELD

KW - ASYMPTOTIC COMPLETENESS

KW - SOBOLEV

KW - eigenvalue estimates

KW - complex potentials

KW - RESONANCES

KW - SCHRODINGER-OPERATORS

UR - http://www.scopus.com/inward/record.url?scp=85080938133&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/48c94ef7-5571-32da-b46a-4938c537304c/

U2 - 10.1090/tran/7873

DO - 10.1090/tran/7873

M3 - Article

AN - SCOPUS:85080938133

VL - 373

SP - 971

EP - 1008

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 2

ER -

ID: 70062766