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 (1)

• Relativistic hydrogenic atoms in strong magnetic fields