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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 publié
Date
2007
Journal name
Journal of Mathematical Physics
Volume
48
Number
11
Publisher
American Institute of Physics
Pages
112-107
Publication identifier
Metadata
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Author(s)
Esteban, Maria J. cc

Loss, Michael
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.
Subjects / Keywords
Hardy-Dirac inequality; selfadjointness; Dirac-Coulomb Hamiltonian; Hardy inequality; selfadjoint operators; Dirac operator; relativistic hydrogen atom