Regularity of the Density of Surface States
Regularity of the Density of Surface States
复制标题
表面态密度的规律性
DOI：
10.1006/jfan.2001.3805
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
R. Schrader
中科院分区：
文献类型：
--
作者：
V. Kostrykin;R. Schrader
一个束缚。证明了连续或离散的Anderson型随机Schr？dinger算子的积分表面态密度是可测的局部可积函数，而不是符号测度或分布.这推广了我们最近关于连续情况下积分表面态密度存在性的结果和A。Chahrour在离散的情况下。证明使用新的L p -界的频谱移位功能最近获得的Combes，Hislop，和中村。并给出了积分体态密度的H？older连续性的简单证明。
A BSTRACT . We prove that the integrated density of surface states of continuous or discrete Anderson-type random Schr¨odinger operators is a measurable locally integrable function rather than a signed measure or a distribution. This generalize our recent results on the existence of the integrated density of surface states in the continuous case and those of A. Chahrour in the discrete case. The proof uses the new L p -bound on the spectral shift function recently obtained by Combes, Hislop, and Nakamura. Also we provide a simple proof of their result on the H¨older continuity of the integrated density of bulk states.