Bound states in waveguides with complex Robin boundary conditions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F16%3A00458565" target="_blank" >RIV/61389005:_____/16:00458565 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/16:00239846
Result on the web
<a href="http://dx.doi.org/10.3233/ASY-151338" target="_blank" >http://dx.doi.org/10.3233/ASY-151338</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3233/ASY-151338" target="_blank" >10.3233/ASY-151338</a>

Result language
angličtina
Original language name
Bound states in waveguides with complex Robin boundary conditions
Original language description
We consider the Laplacian in a tubular neighbourhood of a hyperplane subjected to non-self-adjoint PT-symmetric Robin boundary conditions. Its spectrum is found to be purely essential and real for constant boundary conditions. The influence of the perturbation in the boundary conditions on the threshold of the essential spectrum is studied using the Birman-Schwinger principle. Our aim is to derive a sufficient condition for existence, uniqueness and reality of discrete eigenvalues. We show that discrete spectrum exists when the perturbation acts in the mean against the unperturbed boundary conditions and we are able to obtain the first term in its asymptotic expansion in the weak coupling regime.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

Project
<a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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