Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain

Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain
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紧域外部朗道哈密顿量的特征值簇

DOI:
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发表时间:
2007
影响因子:
0.9
通讯作者:
G. Rozenblum
G. Rozenblum
中科院分区:
数学3区
文献类型:
--
作者:
A. Pushnitski;G. Rozenblum

文献摘要

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我们考虑平面上紧致区域外部具有恒定磁场的薛定谔算子。该算符的谱由围绕朗道能级的本征值簇组成。我们讨论了在一个固定的簇中本征值的累积速率。
We consider the Schrodinger operator with a constant magnetic field in the exterior of a compact domain on the plane. The spectrum of this operator consists of clusters of eigenvalues around the Landau levels. We discuss the rate of accumulation of eigenvalues in a fixed cluster.