Perturbation of Spectra
Perturbation of Spectra
复制标题
光谱的扰动
DOI：
10.1007/978-1-4612-6396-8_8
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发表时间：
1973
影响因子：
3
通讯作者：
K. Friedrichs
中科院分区：
文献类型：
--
作者：
K. Friedrichs
扰动法是近似确定给定算子谱表示的最有效方法之一。该方法是适用的，如果在讨论中的运营商L是足够接近另一个运营商L0的频谱表示是已知的-或部分已知的。然后介绍一个运营商乐取决于一个参数e在这样一种方式，它减少到L为e = 1和L0为e = 0。然后，试图扩大的频谱表示的L e在e的权力。L的近似表示是通过在几项之后中断级数然后设置e = 1来获得的。
The method of perturbation is one of the most effective methods of determining approximately the spectral representation of a given operator. The method is applicable if the operator L in question is sufficiently near another operator L0 whose spectral representation is known — or partly known. One then introduces an operator Le which depends on a parameter e in such a way that it reduces to L for e = 1 and to L0 for e = 0. Then one tries to expand the spectral representers of L e in powers of e. The approximate representers of L are obtained by breaking off the series after a few terms and then setting e = 1.