On Dirac operators in R3 with electrostatic and Lorentz scalar delta-shell interactions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F19%3A00561421" target="_blank" >RIV/61389005:_____/19:00561421 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s40509-019-00186-6" target="_blank" >https://doi.org/10.1007/s40509-019-00186-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40509-019-00186-6" target="_blank" >10.1007/s40509-019-00186-6</a>

Result language
angličtina
Original language name
On Dirac operators in R3 with electrostatic and Lorentz scalar delta-shell interactions
Original language description
In this article, Dirac operators A eta,tau coupled with combinations of electrostatic and Lorentz scalar delta -shell interactions of constant strength eta and tau, respectively, supported on compact surfaces Sigma subset of R3 are studied. In the rigorous definition of these operators, the delta -potentials are modeled by coupling conditions at Sigma. In the proof of the self-adjointness of A eta,tau, a Krein-type resolvent formula and a Birman-Schwinger principle are obtained. With their help, a detailed study of the qualitative spectral properties of A eta,tau is possible. In particular, the essential spectrum of A eta,tau is determined, it is shown that at most finitely many discrete eigenvalues can appear, and several symmetry relations in the point spectrum are obtained. Moreover, the nonrelativistic limit of A eta,tau is computed and it is discussed that for some special interaction strengths, A eta,tau is decoupled to two operators acting in the domains with the common boundary Sigma.
Czech name
—
Czech description
—

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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)