The emergence of eigenvalues of a PT-symmetric operator in a thin strip
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F15%3A50004498" target="_blank" >RIV/62690094:18470/15:50004498 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1134/S000143461511019X" target="_blank" >http://dx.doi.org/10.1134/S000143461511019X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S000143461511019X" target="_blank" >10.1134/S000143461511019X</a>
Alternative languages
Result language
angličtina
Original language name
The emergence of eigenvalues of a PT-symmetric operator in a thin strip
Original language description
The Schrödinger operator in a thin infinite strip with PT -symmetric boundary conditions and a localized potential is studied. The case of a virtual level on the threshold of the essential spectrum of an efficient one-dimensional operator is considered.Sufficient conditions for the transformation of this level into an isolated eigenvalue are obtained and the first terms of the asymptotic expansion are calculated for this eigenvalue. Sufficient conditions for the absence of such an eigenvalue are also obtained.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical notes
ISSN
0001-4346
e-ISSN
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Volume of the periodical
98
Issue of the periodical within the volume
5-6
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
872-883
UT code for WoS article
000369701000019
EID of the result in the Scopus database
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