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Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00344237" target="_blank" >RIV/68407700:21340/20:00344237 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s00220-020-03853-7" target="_blank" >https://doi.org/10.1007/s00220-020-03853-7</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00220-020-03853-7" target="_blank" >10.1007/s00220-020-03853-7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers

  • Original language description

    By developing the method of multipliers, we establish sufficient conditions on the magnetic field and the complex, matrix-valued electric potential, which guarantee that the corresponding system of Schrödinger operators has no point spectrum. In particular, this allows us to prove analogous results for Pauli operators under the same electromagnetic conditions and, in turn, as a consequence of the supersymmetric structure, also for magnetic Dirac operators.

  • 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/GA18-08835S" target="_blank" >GA18-08835S: Quantum mechanics with non-self-adjoint operators: transition from spectra to pseudospectra</a><br>

  • Continuities

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

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Communications in Mathematical Physics

  • ISSN

    0010-3616

  • e-ISSN

    1432-0916

  • Volume of the periodical

    379

  • Issue of the periodical within the volume

    October

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    59

  • Pages from-to

    633-691

  • UT code for WoS article

    000570491100001

  • EID of the result in the Scopus database

    2-s2.0-85091086417