On the spectral properties of Dirac operators with electrostatic delta-shell interactions

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/68407700:21340/18:00328109

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

On the spectral properties of Dirac operators with electrostatic delta-shell interactions

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

On the spectral properties of Dirac operators with electrostatic delta-shell interactions

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

<a href="/cs/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorózní metody v kvantové dynamice: geometrie a magnetická pole</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal de Mathematiques Pures Et Appliquees

ISSN

0021-7824

e-ISSN

—

Svazek periodika

111

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

32

Strana od-do

47-78

Kód UT WoS článku

000426331000003

EID výsledku v databázi Scopus

2-s2.0-85028350924