Self-adjointness for Dirac operators via Hardy-Dirac inequalities
Esteban, Maria J.; Loss, Michael (2007), Self-adjointness for Dirac operators via Hardy-Dirac inequalities, Journal of Mathematical Physics, 48, 11, p. 112-107. http://dx.doi.org/10.1063/1.2811950
Type
Article accepté pour publication ou publiéDate
2007Journal name
Journal of Mathematical PhysicsVolume
48Number
11Publisher
American Institute of Physics
Pages
112-107
Publication identifier
Metadata
Show full item recordAbstract (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.Subjects / Keywords
Hardy-Dirac inequality; selfadjointness; Dirac-Coulomb Hamiltonian; Hardy inequality; selfadjoint operators; Dirac operator; relativistic hydrogen atomRelated items
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