Asymptotic spectral analysis in colliding leaky quantum layers

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F17%3A00473567" target="_blank" >RIV/61389005:_____/17:00473567 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/17:00303426
Result on the web
<a href="http://dx.doi.org/10.1016/j.jmaa.2016.09.032" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2016.09.032</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2016.09.032" target="_blank" >10.1016/j.jmaa.2016.09.032</a>

Result language
angličtina
Original language name
Asymptotic spectral analysis in colliding leaky quantum layers
Original language description
We consider the Schrodinger operator with a complex delta interaction supported by two parallel hypersurfaces in the Euclidean space of any dimension. We analyse spectral properties of the system in the limit when the distance between the hypersurfaces tends to zero. We establish the norm-resolvent convergence to a limiting operator and derive first-order corrections for the corresponding eigenvalues.
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
10102 - Applied mathematics

Project
<a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</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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