Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations
Result 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.
Keywords
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
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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Classification
Type
Jimp - 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
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Physics
ISSN
0022-2488
e-ISSN
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Volume of the periodical
60
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
041502
UT code for WoS article
000466701000002
EID of the result in the Scopus database
2-s2.0-85064415112
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Year of implementation
2019