Self-adjointness for Dirac operators via Hardy-Dirac inequalities

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Date
2007
Dewey
Probabilités et mathématiques appliquées
Sujet
Hardy-Dirac inequality; selfadjointness; Dirac-Coulomb Hamiltonian; Hardy inequality; selfadjoint operators; Dirac operator; relativistic hydrogen atom
Journal issue
Journal of Mathematical Physics
Volume
48
Number
11
Publication date
2007
Article pages
112-107
Publisher
American Institute of Physics
DOI
http://dx.doi.org/10.1063/1.2811950
URI
https://basepub.dauphine.fr/handle/123456789/713
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Author
Esteban, Maria J.
Loss, Michael
Type
Article accepté pour publication ou publié
Abstract (EN)
Distinguished selfadjoint extensions of Dirac operators are constructed for a class of potentials including Coulombic ones up to the critical case, $-|x|^{-1}$. The method uses Hardy-Dirac inequalities and quadratic form techniques.