Pseudospectra of the Schrödinger operator with a discontinuous complex potential

Kód výsledku v 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>
Výsledek na webu
<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>

Jazyk výsledku
angličtina
Název v původním jazyce
Pseudospectra of the Schrödinger operator with a discontinuous complex potential
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Pseudospectra of the Schrödinger operator with a discontinuous complex potential
Popis výsledku anglicky
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.

Rok uplatnění
2017
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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