Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities
Analysis of PDEs
2013-03-12 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1104.1978,
title = {Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities},
author = {Naiara Arrizabalaga},
journal= {arXiv preprint arXiv:1104.1978},
year = {2013}
}
Comments
16 pages