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arxiv: 0706.1291 · v1 · submitted 2007-06-09 · 🧮 math.AP · math-ph· math.MP

Self-adjointness of Dirac operators via Hardy-Dirac inequalities

classification 🧮 math.AP math-phmath.MP
keywords dirachardy-diracinequalitiesoperatorscaseclassconstructedcoulombic
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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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