On eigenvalues of a PT-symmetric operator in a thin layer

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F17%3A00475682" target="_blank" >RIV/61389005:_____/17:00475682 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/17:50013789
Result on the web
<a href="http://dx.doi.org/10.1070/SM8657" target="_blank" >http://dx.doi.org/10.1070/SM8657</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1070/SM8657" target="_blank" >10.1070/SM8657</a>

Result language
angličtina
Original language name
On eigenvalues of a PT-symmetric operator in a thin layer
Original language description
We consider an elliptic operator with variable coefficients in a thin three-dimensional layer with PT-symmetric boundary conditions. We study the effect of the appearance of isolated eigenvalues at the edges of the gaps in the essential spectrum. We obtain sufficient conditions that guarantee that such eigenvalues either exist or are absent near a given edge of a gap. In the case of existence, the first terms in the asymptotic expansion of these emerging eigenvalues are calculated.
Czech name
—
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
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project
<a href="/en/project/GA16-22945S" target="_blank" >GA16-22945S: Quantum Wheeler-DeWitt equation and its unitary evolution interpretation</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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