Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017079" target="_blank" >RIV/62690094:18470/20:50017079 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0893965919303738/pdfft?md5=a2dc77a729e3e7b4e3a9ec0aa93aca0c&pid=1-s2.0-S0893965919303738-main.pdf" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0893965919303738/pdfft?md5=a2dc77a729e3e7b4e3a9ec0aa93aca0c&pid=1-s2.0-S0893965919303738-main.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2019.106049" target="_blank" >10.1016/j.aml.2019.106049</a>
Alternative languages
Result language
angličtina
Original language name
Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials
Original language description
We consider a Schrodinger operator on the axis with a bipartite potential consisting of two compactly supported complex-valued functions, whose supports are separated by a large distance. We show that this operator possesses a sequence of approximately equidistant complex-valued wavenumbers situated near the real axis. Depending on its imaginary part, each wavenumber corresponds to either a resonance or an eigenvalue. The obtained sequence of wavenumbers resembles transmission resonances in electromagnetic Fabry-Perot interferometers formed by parallel mirrors. Our result has potential applications in standard and non-hermitian quantum. mechanics, physics of waveguides, photonics, and in other areas where the Schrodinger operator emerges as an effective Hamiltonian. (C) 2019 Elsevier Ltd. All rights reserved.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
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
Applied mathematics letters
ISSN
0893-9659
e-ISSN
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Volume of the periodical
100
Issue of the periodical within the volume
FEBRUARY
Country of publishing house
GB - UNITED KINGDOM
Number of pages
9
Pages from-to
"Article Number: 106049"
UT code for WoS article
000494048300029
EID of the result in the Scopus database
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