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Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials

Result description

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.

Keywords

complex potentialdiverging eigenvaluesdomain truncationSchrodinger operatorsspectral exctness

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    SIAM Journal on Mathematical Analysis

  • ISSN

    0036-1410

  • e-ISSN

    1095-7154

  • Volume of the periodical

    54

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    38

  • Pages from-to

    5064-5101

  • UT code for WoS article

    000889274600025

  • EID of the result in the Scopus database

    2-s2.0-85137232947

Basic information

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Applied mathematics

Year of implementation

2022