Eigenvalue Estimates for the Aharonov-Bohm Operator in a Domain

被引：0
|
作者：
Frank, Rupert L. [1 ]
Hansson, Anders M. [1 ]
机构：
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
来源：
METHODS OF SPECTRAL ANALYSIS IN MATHEMATICAL PHYSICS | 2009年 / 186卷
关键词：
Spectral estimates; Berezin-Li-Yau inequalities; Aharonov-Bohm magnetic field; LIEB-THIRRING INEQUALITIES; SCHRODINGER-OPERATORS; DIRICHLET;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove semi-classical estimates on moments of eigenvalues of the Aharonov-Bohm operator in bounded two-dimensional domains. Moreover, we present a counterexample to the generalized diamagnetic inequality which was proposed by Erdos, Loss and Vougalter. Numerical studies complement these results.
引用
收藏
页码：115 / +
页数：3
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