On the bound states of Schrodinger operators with -interactions on conical surfaces
Result 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.
Keywords
conical and hyperconical surfacesdelta-interactionexistence of bound statesSchrodinger operatorspectral asymptotics
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
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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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Communications in Partial Differential Equations
ISSN
0360-5302
e-ISSN
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Volume of the periodical
41
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
30
Pages from-to
999-1028
UT code for WoS article
000378746100006
EID of the result in the Scopus database
2-s2.0-84975313676
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BE - Theoretical physics
Year of implementation
2016