关于Waxman迭代算法中不存在本征态的问题
On the Absence of Spurious Eigenstates in an Iterative Algorithm Proposed By Waxman
摘要：
我们讨论了一个显着的属性的特征值问题的迭代算法最近提出的Waxman构成了一个明显的优势，比其他迭代程序。在量子力学以及其他领域中，经常需要处理同时呈现连续谱和离散谱的算符。对于这类算子，Waxman提出的算法不存在Lanczos算法等迭代算法中出现的识别伪特征对的问题。
英文摘要：
We discuss a remarkable property of an iterative algorithm for eigenvalue problems recently advanced by Waxman that constitutes a clear advantage over other iterative procedures. In quantum mechanics, as well as in other fields, it is often necessary to deal with operators exhibiting both a continuum and a discrete spectrum. For this kind of operators, the problem of identifying spurious eigenpairs which appear in iterative algorithms like the Lanczos algorithm does not occur in the algorithm proposed by Waxman.
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