On the bound states of Schrodinger operators with -interactions on conical surfaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F16%3A00461196" target="_blank" >RIV/61389005:_____/16:00461196 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/03605302.2016.1168843" target="_blank" >http://dx.doi.org/10.1080/03605302.2016.1168843</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03605302.2016.1168843" target="_blank" >10.1080/03605302.2016.1168843</a>

Result language
angličtina
Original language name
On the bound states of Schrodinger operators with -interactions on conical surfaces
Original language description
In dimension greater than or equal to three, we investigate the spectrum of a Schrodinger operator with a -interaction supported on a cone whose cross section is the sphere of codimension two. After decomposing into fibers, we prove that there is discrete spectrum only in dimension three and that it is generated by the axisymmetric fiber. We get that these eigenvalues are nondecreasing functions of the aperture of the cone and we exhibit the precise logarithmic accumulation of the discrete spectrum below the threshold of the essential spectrum.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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