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Inverse problems for locally perturbed lattices – Discrete Hamiltonian and quantum graph

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F24%3A00618299" target="_blank" >RIV/61389005:_____/24:00618299 - isvavai.cz</a>

  • Result on the web

    <a href="https://ahl.centre-mersenne.org/articles/10.5802/ahl.201/" target="_blank" >https://ahl.centre-mersenne.org/articles/10.5802/ahl.201/</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.5802/ahl.201" target="_blank" >10.5802/ahl.201</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Inverse problems for locally perturbed lattices – Discrete Hamiltonian and quantum graph

  • Original language description

    We consider the inverse scattering problems for two types of Schrödinger operators on locally perturbed periodic lattices. For the discrete Hamiltonian, the knowledge of the S-matrix for all energies determines the graph structure and the coefficients of the Hamiltonian. For locally perturbed equilateral metric graphs, the knowledge of the S-matrix for all energies determines the graph structure.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database

  • CEP classification

  • OECD FORD branch

    10102 - Applied 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

    2024

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Annales Henri Lebesgue

  • ISSN

    2644-9463

  • e-ISSN

    2644-9463

  • Volume of the periodical

    7

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    FR - FRANCE

  • Number of pages

    39

  • Pages from-to

    267-305

  • UT code for WoS article

  • EID of the result in the Scopus database

    2-s2.0-86000326118