Spurious singularities in the Schwinger variational method.

Spurious singularities in the Schwinger variational method.
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施温格变分法中的虚假奇点。

DOI:
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发表时间:
1990
期刊:
Physical Review A. Atomic, Molecular, and Optical Physics
影响因子:
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通讯作者:
McKoy
McKoy
中科院分区:
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文献类型:
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作者:
Winstead;McKoy

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我们分析了最近发现的一种虚假共振[例如,参见B.Apagyi,P.L‘evay和K.Lad’anyi,Phys.Rev.A 37,4577(1988)[见Schwinger变分方法。结果发现,这种反常现象与势阵V的病态有关,并且这一事实允许通过直接的数值过程来识别和消除任何这样的共振。因此,我们预计这种反常现象与Schwinger方法的实际应用几乎没有关系。
We analyze a type of spurious resonance recently identified [see, for example, B. Apagyi, P. L'evay, and K. Lad'anyi, Phys. Rev. A 37, 4577 (1988)] in the Schwinger variational method. It is found that this type of anomaly is associated with ill conditioning of the potential matrix V, and that this fact allows the identification and removal of any such resonances by straightforward numerical procedures. We therefore anticipate that such anomalies will have little relevance to practical applications of the Schwinger method.