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arXiv:1104.1978 [math.AP]AbstractReferencesReviewsResources

Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities

Naiara Arrizabalaga

Published 2011-04-11, updated 2011-04-17Version 2

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.

Comments: 16 pages
Categories: math.AP, math-ph, math.MP
Subjects: 81Q10, 35P05, 35Q40, 02.30.Hq
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