Pseudospectra of the Schrödinger operator with a discontinuous complex potential
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00304660" target="_blank" >RIV/68407700:21340/17:00304660 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4171/JST/174" target="_blank" >http://dx.doi.org/10.4171/JST/174</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/JST/174" target="_blank" >10.4171/JST/174</a>
Alternative languages
Result language
angličtina
Original language name
Pseudospectra of the Schrödinger operator with a discontinuous complex potential
Original language description
We study spectral properties of the Schrodinger operator with an imaginary sign potential on the real line. By constructing the resolvent kernel, we show that the pseudospectra of this operator are highly non-trivial, because of a blow-up of the resolvent at infinity. Furthermore, we derive estimates on the location of eigenvalues of the operator perturbed by complex potentials. The overall analysis demonstrates striking differences with respect to the weak-coupling behaviour of the Laplacian.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Spectral Theory
ISSN
1664-039X
e-ISSN
1664-0403
Volume of the periodical
7
Issue of the periodical within the volume
3
Country of publishing house
CH - SWITZERLAND
Number of pages
39
Pages from-to
659-697
UT code for WoS article
000418293400002
EID of the result in the Scopus database
2-s2.0-85030869959