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Virtual bound states of the Pauli operator with an Aharonov-Bohm potential

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00386698" target="_blank" >RIV/68407700:21340/25:00386698 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1142/S0129055X25500114" target="_blank" >https://doi.org/10.1142/S0129055X25500114</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1142/S0129055X25500114" target="_blank" >10.1142/S0129055X25500114</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Virtual bound states of the Pauli operator with an Aharonov-Bohm potential

  • Original language description

    A maximal realization of the two-dimensional Pauli operator, subject to Aharonov-Bohm magnetic field, is investigated. Contrary to the case of the Pauli operator with regular magnetic potentials, it is shown that both components of the Pauli operator are critical. Asymptotics of the weakly coupled eigenvalues, generated by electric (not necessarily self-adjoint) perturbations, are derived.

  • 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/GX20-17749X" target="_blank" >GX20-17749X: New challenges for spectral theory: geometry, advanced materials and complex fields</a><br>

  • Continuities

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

Others

  • Publication year

    2025

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Reviews in Mathematical Physics

  • ISSN

    0129-055X

  • e-ISSN

    1793-6659

  • Volume of the periodical

    37

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    SG - SINGAPORE

  • Number of pages

    25

  • Pages from-to

  • UT code for WoS article

    001481012500001

  • EID of the result in the Scopus database

    2-s2.0-105004432484