Self-adjointness of Dirac operators via Hardy-Dirac inequalities

Abstract

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.

PACS 03.65.P, 03.30

References in corpus (2)

• On the eigenvalues of operators with gaps. Application to Dirac operators
• Relativistic hydrogenic atoms in strong magnetic fields

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