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Infinite Quantum Graphs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F17%3A00488764" target="_blank" >RIV/61389005:_____/17:00488764 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21340/17:00319058

  • Result on the web

    <a href="http://dx.doi.org/10.1134/S1064562417010136" target="_blank" >http://dx.doi.org/10.1134/S1064562417010136</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1134/S1064562417010136" target="_blank" >10.1134/S1064562417010136</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Infinite Quantum Graphs

  • Original language description

    Infinite quantum graphs with delta-interactions at vertices are studied without any assumptions on the lengths of edges of the underlying metric graphs. A connection between spectral properties of a quantum graph and a certain discrete Laplacian given on a graph with infinitely many vertices and edges is established. In particular, it is shown that these operators are self-adjoint, lower semibounded, nonnegative, discrete, etc. only simultaneously.

  • 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

    10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Result continuities

  • Project

    <a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>

  • Continuities

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

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Doklady Mathematics

  • ISSN

    1064-5624

  • e-ISSN

  • Volume of the periodical

    95

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    6

  • Pages from-to

    31-36

  • UT code for WoS article

    000399585800009

  • EID of the result in the Scopus database

    2-s2.0-85018473876