Self-adjoint extensions of Dirac operators with Coulomb type singularity
Analysis of PDEs
2015-06-12 v1 Mathematical Physics
math.MP
Abstract
In this work we construct self-adjoint extensions of the Dirac operator associated to Hermitian matrix potentials with Coulomb decay and prove that the domain is maximal. The result is obtained by means of a Hardy-Dirac type inequality. In particular, we can work with some electromagnetic potentials such that both, the electric potential and the magnetic one, have Coulomb type singularity.
Keywords
Cite
@article{arxiv.1211.5476,
title = {Self-adjoint extensions of Dirac operators with Coulomb type singularity},
author = {Naiara Arrizabalaga and Javier Duoandikoetxea and Luis Vega},
journal= {arXiv preprint arXiv:1211.5476},
year = {2015}
}
Comments
Submitted