域中 Aharonov-Bohm 算子的特征值估计
数学物理
2007-10-08 v1 math.MP
摘要
我们证明了有界二维区域中 Aharonov-Bohm 算子特征值矩的半经典估计。此外，我们给出了 Erdos、Loss 和 Vougalter 提出的广义抗磁性不等式的一个反例。数值研究补充了这些结果。
引用
@article{arxiv.0710.1089,
title = {Eigenvalue estimates for the Aharonov-Bohm operator in a domain},
author = {Rupert L. Frank and Anders Hansson},
journal= {arXiv preprint arXiv:0710.1089},
year = {2007}
}
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22 pages, 10 figures
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