On the spectral properties of Dirac operators with electrostatic delta-shell interactions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F18%3A00488733" target="_blank" >RIV/61389005:_____/18:00488733 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/18:00328109
Result on the web
<a href="http://dx.doi.org/10.1016/j.matpur.2017.07.018" target="_blank" >http://dx.doi.org/10.1016/j.matpur.2017.07.018</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matpur.2017.07.018" target="_blank" >10.1016/j.matpur.2017.07.018</a>
Alternative languages
Result language
angličtina
Original language name
On the spectral properties of Dirac operators with electrostatic delta-shell interactions
Original language description
In this paper the spectral properties of Dirac operators A(eta), with electrostatic delta-shell interactions of constant strength eta supported on compact smooth surfaces in R-3 are studied. Making use of boundary triple techniques a Krein type resolvent formula and a Birman Schwinger principle are obtained. With the help of these tools some spectral, scattering, and asymptotic properties of An are investigated. In particular, it turns out that the discrete spectrum of A(eta), inside the gap of the essential spectrum is finite, the difference of the third powers of the resolvents of A(eta), and the free Dirac operator A(0) is trace class, and in the nonrelativistic limit A(eta), converges in the norm resolvent sense to a Schrodinger operator with an electric delta-potential of strength eta.
Czech name
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Czech description
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Classification
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)
Result continuities
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)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal de Mathematiques Pures Et Appliquees
ISSN
0021-7824
e-ISSN
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Volume of the periodical
111
Issue of the periodical within the volume
3
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
32
Pages from-to
47-78
UT code for WoS article
000426331000003
EID of the result in the Scopus database
2-s2.0-85028350924