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arXiv · 1211.5476

Self-adjoint extensions of Dirac operators with Coulomb type singularity

Naiara Arrizabalaga·Javier Duoandikoetxea·Luis Vega
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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.

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Naiara Arrizabalaga, Javier Duoandikoetxea, Luis Vega. 2012-11-23. Self-adjoint extensions of Dirac operators with Coulomb type singularity. https://doi.org/10.1063/1.4798804

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