A magnetic contribution to the Hardy inequality

被引：5
|
作者：
Ekholm, T. [1 ]
Portmann, F. [1 ]
机构：
[1] KTH Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2014年 / 55卷 / 02期
基金：
瑞典研究理事会;
关键词：
SCHRODINGER-OPERATORS; DIRICHLET FORMS;
D O I：
10.1063/1.4863900
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the quadratic form associated to the kinetic energy operator in the presence of an external magnetic field in d = 3. We show that if the radial component of the magnetic field does not vanish identically, then the classical lower bound given by Hardy is improved by a non-negative potential term depending on properties of the magnetic field. (C) 2014 AIP Publishing LLC.
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收藏
页数：16
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