Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities
classification
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math-phmath.MP
keywords
inequalitiesdiracdistinguishedextensionshardy-diracoperatorsself-adjointweights
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We prove some Hardy-Dirac inequalities with two different weights including measure valued and Coulombic ones. Those inequalities are used to construct distinguished self-adjoint extensions of Dirac operators for a class of diagonal potentials related to the weights in the above mentioned inequalities.
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