Self-adjointness of Dirac operators via Hardy-Dirac inequalities

Details Self-adjointness of Dirac operators via Hardy-Dirac inequalities Self-adjointness of Dirac operators via Hardy-Dirac inequalities

2007-06-09

arxiv.org/abs/0706.1291v1

Journal of Mathematical Physics 48, 11 (2007) 112107

Mathematics

Analysis of PDEs

PACS 03.65.P, 03.30

Scientific paper

10.1063/1.2811950

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.

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