Non-local relativistic δ-shell interactions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F24%3A00376068" target="_blank" >RIV/68407700:21340/24:00376068 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11005-024-01828-6" target="_blank" >https://doi.org/10.1007/s11005-024-01828-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11005-024-01828-6" target="_blank" >10.1007/s11005-024-01828-6</a>

Result language
angličtina
Original language name
Non-local relativistic δ-shell interactions
Original language description
In this paper, new self-adjoint realizations of the Dirac operator in dimension two and three are introduced. It is shown that they may be associated with the formal expression D-0+|F delta(Sigma)>< G delta(Sigma)|, where D-0 is the free Dirac operator, F and G are matrix valued coefficients, and delta(Sigma) stands for the single layer distribution supported on a hypersurface Sigma, and that they can be understood as limits of the Dirac operators with scaled non-local potentials. Furthermore, their spectral properties are analysed.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

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)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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