Self-adjoint extensions of Dirac operators with Coulomb type singularity

被引：19

作者：

Arrizabalaga, Naiara ^{[1
]}

Duoandikoetxea, Javier ^{[1
]}

Vega, Luis ^{[1
]}

机构：

[1] UPV, EHU, Dept Matemat, Bilbao 48080, Spain

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 04期

关键词：

CUT-OFF POTENTIALS; ESSENTIAL SELFADJOINTNESS; ESSENTIAL SPECTRUM; INEQUALITIES; THEOREM;

D O I：

10.1063/1.4798804

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2013 American Institute of Physics.

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页数：20

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