Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F19%3A00504697" target="_blank" >RIV/61389005:_____/19:00504697 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1063/1.5063986" target="_blank" >https://doi.org/10.1063/1.5063986</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5063986" target="_blank" >10.1063/1.5063986</a>

Result language
angličtina
Original language name
Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations
Original language description
We determine explicitly a boundary triple for the Dirac operator H := i alpha (dot) nabla + m beta + V(x) in R-3, for m (in) R and V(x) = (abs x)- -1 (v I_4 + mu beta - i delta alpha (dot) x/(abs x)beta), with v, mu, delta (in) R. Consequently, we determine all the self-adjoint realizations of H in terms of the behavior of the functions of their domain in the origin. When sup_x(abs x abs V(x)) inequality 1, we discuss the problem of selecting the distinguished extension requiring that its domain is included in the domain of the appropriate quadratic form.
Czech name
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Czech description
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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)

Project
<a href="/en/project/GA17-01706S" target="_blank" >GA17-01706S: Mathematical-Physics Models of Novel Materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

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