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

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

2011-04-11

arxiv.org/abs/1104.1978v2

Mathematics

Analysis of PDEs

16 pages

Scientific paper

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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