Spectral analysis of rank one perturbations and applications

Spectral analysis of rank one perturbations and applications
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一级扰动的谱分析及应用

DOI:
10.1090/crmp/008/04
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发表时间:
1995
期刊:
Contemporary mathematics
影响因子:
--
通讯作者:
B. Simon
B. Simon
中科院分区:
--
文献类型:
--
作者:
B. Simon

文献摘要

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本文综述了A + B型自伴算子的一般理论,其中B为秩1。应用程序包括证明本地化的薛定谔运营商,逆谱理论的结果,并与奇异连续谱运营商的例子。
A review of the general theory of self-adjoint operators of the form A + B where B is rank one is presented. Applications include proofs of localization for Schrr odinger operators, results on inverse spectral theory, and examples of operators with singular continuous spectrum.