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

被引：11

作者：

Arrizabalaga, Naiara ^{[1
]}

机构：

[1] Univ Basque Country, Dept Matemat, E-48080 Bilbao, Spain

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 09期

关键词：

differential equations; CUT-OFF POTENTIALS; THEOREM;

D O I：

10.1063/1.3635376

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 mentioned inequalities. (C) 2011 American Institute of Physics. [doi:10.1063/1.3635376]

引用

页数：14

共 20 条

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[2]

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[3]

ARAI M, 1982, RIMS KOKYUROKU, V18, P973

[4]

Arai M., 1982, RIMS KOKYUROKU, V18, P973

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