DIVERGING EIGENVALUES IN DOMAIN TRUNCATIONS OF SCHRÖDINGER OPERATORS WITH COMPLEX POTENTIALS

Iveta Semoradova; Petr Siegl

doi:10.1137/21M1439699

DIVERGING EIGENVALUES IN DOMAIN TRUNCATIONS OF SCHRÖDINGER OPERATORS WITH COMPLEX POTENTIALS

Iveta Semoradova, Petr Siegl

Institut für Angewandte Mathematik (5040)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

Diverging eigenvalues in domain truncations of Schrödinger operators with complex potentials are analyzed and their asymptotic formulas are obtained. Our approach also yields asymptotic formulas for diverging eigenvalues in the strong coupling regime for the imaginary part of the potential.

Originalsprache	englisch
Seiten (von - bis)	5064-5101
Seitenumfang	38
Fachzeitschrift	SIAM Journal on Mathematical Analysis
Jahrgang	54
Ausgabenummer	4
DOIs	https://doi.org/10.1137/21M1439699
Publikationsstatus	Veröffentlicht - 2022

ASJC Scopus subject areas

Analyse
Computational Mathematics
Angewandte Mathematik

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10.1137/21M1439699

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title = "DIVERGING EIGENVALUES IN DOMAIN TRUNCATIONS OF SCHR{\"O}DINGER OPERATORS WITH COMPLEX POTENTIALS",

abstract = "Diverging eigenvalues in domain truncations of Schr{\"o}dinger operators with complex potentials are analyzed and their asymptotic formulas are obtained. Our approach also yields asymptotic formulas for diverging eigenvalues in the strong coupling regime for the imaginary part of the potential.",

keywords = "complex potential, diverging eigenvalues, domain truncation, Schr{\"o}dinger operators, spectral exactness",

author = "Iveta Semoradova and Petr Siegl",

note = "Publisher Copyright: 2022 Society for Industrial and Applied Mathematics.",

year = "2022",

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AU - Semoradova, Iveta

AU - Siegl, Petr

N1 - Publisher Copyright: 2022 Society for Industrial and Applied Mathematics.

PY - 2022

Y1 - 2022

N2 - Diverging eigenvalues in domain truncations of Schrödinger operators with complex potentials are analyzed and their asymptotic formulas are obtained. Our approach also yields asymptotic formulas for diverging eigenvalues in the strong coupling regime for the imaginary part of the potential.

AB - Diverging eigenvalues in domain truncations of Schrödinger operators with complex potentials are analyzed and their asymptotic formulas are obtained. Our approach also yields asymptotic formulas for diverging eigenvalues in the strong coupling regime for the imaginary part of the potential.

KW - complex potential

KW - diverging eigenvalues

KW - domain truncation

KW - Schrödinger operators

KW - spectral exactness

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U2 - 10.1137/21M1439699

DO - 10.1137/21M1439699

M3 - Article

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JO - SIAM Journal on Mathematical Analysis

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DIVERGING EIGENVALUES IN DOMAIN TRUNCATIONS OF SCHRÖDINGER OPERATORS WITH COMPLEX POTENTIALS

Abstract

ASJC Scopus subject areas

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