A spectral isoperimetric inequality for cones

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F17%3A00474568" target="_blank" >RIV/61389005:_____/17:00474568 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/17:00319050
Result on the web
<a href="http://dx.doi.org/10.1007/s11005-016-0917-8" target="_blank" >http://dx.doi.org/10.1007/s11005-016-0917-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11005-016-0917-8" target="_blank" >10.1007/s11005-016-0917-8</a>

Result language
angličtina
Original language name
A spectral isoperimetric inequality for cones
Original language description
In this note, we investigate three-dimensional Schrodinger operators with delta-interactions supported on C-2-smooth cones, both finite and infinite. Our main results concern a Faber-Krahn-type inequality for the principal eigenvalue of these operators. The proofs rely on the Birman-Schwinger principle and on the fact that circles are unique minimizers for a class of energy functionals. The main novel idea consists in the way of constructing test functions for the Birman-Schwinger principle.
Czech name
—
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
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project
<a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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