Complex magnetic fields: An improved Hardy-Laptev-Weidl inequality and quasi-self-adjointness

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00328030" target="_blank" >RIV/68407700:21340/19:00328030 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1137/18M1171254" target="_blank" >https://doi.org/10.1137/18M1171254</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/18M1171254" target="_blank" >10.1137/18M1171254</a>

Result language
angličtina
Original language name
Complex magnetic fields: An improved Hardy-Laptev-Weidl inequality and quasi-self-adjointness
Original language description
We show that allowing magnetic fields to be complex-valued leads to an improvement in the magnetic Hardy-type inequality due to Laptev and Weidl. The proof is based on the study of momenta on the circle with complex magnetic fields, which is of independent interest in the context of PT-symmetric and quasi-Hermitian quantum mechanics. We study basis properties of the non-self-adjoint momenta and derive closed formulae for the similarity transforms relating them to self-adjoint operators.
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
10102 - Applied 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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