On negative eigenvalues of two-dimensional Schrodinger operators with singular potentials

被引：7

作者：

Karuhanga, Martin ^{[1
]}

Shargorodsky, Eugene ^{[2
]}

机构：

[1] Mbarara Univ Sci & Technol, Dept Math, Mbarara, Uganda

[2] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 05期

关键词：

DISCRETE SPECTRUM;

D O I：

10.1063/5.0004481

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present upper estimates for the number of negative eigenvalues of two-dimensional Schrodinger operators with potentials generated by Ahlfors regular measures of arbitrary fractional dimension alpha is an element of (0, 2]. The estimates are given in terms of integrals of the potential with a logarithmic weight and of its LlogL type Orlicz norms. In the case alpha = 1, our results are stronger than the known ones about Schrodinger operators with potentials supported by Lipschitz curves.

引用

页数：26

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