Eigenvalue bounds for two-dimensional magnetic Schrodinger operators

被引：10

作者：

Kovarik, Hynek ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

JOURNAL OF SPECTRAL THEORY | 2011年 / 1卷 / 04期

关键词：

Eigenvalue estimates; magnetic Schrodinger operator; Hardy inequalities; INEQUALITY; STABILITY; SPECTRUM; NUMBER; STATES;

D O I：

10.4171/JST/16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the number of negative eigenvalues of two-dimensional magnetic Schrodinger operators is bounded from above by the strength of the corresponding electric potential. Such estimates fail in the absence of a magnetic field. We also show how the corresponding upper bounds depend on the properties of the magnetic field and discuss their connection with Hardy-type inequalities.

引用

页码：363 / 387

页数：25

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