Spectral optimization for strongly singular Schrodinger operators with a star-shaped interaction

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F20%3A00524196" target="_blank" >RIV/61389005:_____/20:00524196 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/20:00346528
Result on the web
<a href="https://doi.org/10.1007/s11005-019-01237-0" target="_blank" >https://doi.org/10.1007/s11005-019-01237-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11005-019-01237-0" target="_blank" >10.1007/s11005-019-01237-0</a>

Result language
angličtina
Original language name
Spectral optimization for strongly singular Schrodinger operators with a star-shaped interaction
Original language description
We discuss the spectral properties of singular Schrodinger operators in three dimensions with the interaction supported by an equilateral star, finite or infinite. In the finite case, the discrete spectrum is nonempty if the star arms are long enough. Our main result concerns spectral optimization: we show that the principal eigenvalue is uniquely maximized when the arms are arranged in one of the known five sharp configurations.
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
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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