Eigenvalue bounds for two-dimensional magnetic Schrodinger operators

被引：9
|
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.
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页码：363 / 387
页数：25
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