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Spectral Transition for Dirac Operators with Electrostatic delta-Shell Potentials Supported on the Straight Line

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00360592" target="_blank" >RIV/68407700:21340/22:00360592 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s00020-022-02711-6" target="_blank" >https://doi.org/10.1007/s00020-022-02711-6</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00020-022-02711-6" target="_blank" >10.1007/s00020-022-02711-6</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Spectral Transition for Dirac Operators with Electrostatic delta-Shell Potentials Supported on the Straight Line

  • Original language description

    In this note the two dimensional Dirac operator A(eta) with an electrostatic delta-shell interaction of strength eta is an element of R supported on a straight line is studied. We observe a spectral transition in the sense that for the critical interaction strengths eta = +/- 2 the continuous spectrum of A. inside the spectral gap of the free Dirac operator A(0) collapses abruptly to a single point.

  • 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

  • Continuities

    S - Specificky vyzkum na vysokych skolach

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

    Integral Equations and Operator Theory

  • ISSN

    0378-620X

  • e-ISSN

    1420-8989

  • Volume of the periodical

    94

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    13

  • Pages from-to

    1-13

  • UT code for WoS article

    000847689200001

  • EID of the result in the Scopus database

    2-s2.0-85137197563