Pseudomodes for Schrödinger operators with complex potentials

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00326302" target="_blank" >RIV/68407700:21340/19:00326302 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jfa.2018.10.004" target="_blank" >https://doi.org/10.1016/j.jfa.2018.10.004</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2018.10.004" target="_blank" >10.1016/j.jfa.2018.10.004</a>

Result language
angličtina
Original language name
Pseudomodes for Schrödinger operators with complex potentials
Original language description
For one-dimensional Schrödinger operators with complex-valued potentials, we construct pseudomodes corresponding to large pseudoeigenvalues. We develop a first systematic non-semi-classical approach, which results in a substantial progress in achieving optimal conditions and conclusions as well as in covering a wide class of previously inaccessible potentials, including discontinuous ones. Applications of the present results to higher-dimensional Schrödinger operators are also discussed.
Czech name
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Czech description
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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

Project
<a href="/en/project/GA18-08835S" target="_blank" >GA18-08835S: Quantum mechanics with non-self-adjoint operators: transition from spectra to pseudospectra</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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