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Singular Schrodinger operators with prescribed spectral properties

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F22%3A00552559" target="_blank" >RIV/61389005:_____/22:00552559 - isvavai.cz</a>

  • Alternative codes found

    RIV/62690094:18470/22:50018511

  • Result on the web

    <a href="https://doi.org/10.1016/j.jfa.2021.109252" target="_blank" >https://doi.org/10.1016/j.jfa.2021.109252</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jfa.2021.109252" target="_blank" >10.1016/j.jfa.2021.109252</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Singular Schrodinger operators with prescribed spectral properties

  • Original language description

    This paper deals with singular Schrodinger operators of the formnn-d(2)/dx(2) + Sigma(k is an element of Z) gamma(k)delta(. - z(k)), gamma(k) is an element of R,nnin L-2 (l(-), l(+)), where delta(. - z(k)) is the Dirac delta-function supported at z(k) is an element of (l(-), l(+)) and (l(-), l(+)) is a bounded interval. It will be shown that the interaction strengths gamma(k) and the points z(k) can be chosen in such a way that the essential spectrum and a bounded part of the discrete spectrum of this self-adjoint operator coincide with prescribed sets on the real line.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA21-07129S" target="_blank" >GA21-07129S: New Effects from Time-Reversal Non-Invariance</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

    Journal of Functional Analysis

  • ISSN

    0022-1236

  • e-ISSN

    1096-0783

  • Volume of the periodical

    282

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    49

  • Pages from-to

    109252

  • UT code for WoS article

    000709435800001

  • EID of the result in the Scopus database

    2-s2.0-85117167481