Finite-basis-set expansion methods for scattering problems.
Finite-basis-set expansion methods for scattering problems.
复制标题
散射问题的有限基集展开方法。
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
Apagyi
中科院分区：
文献类型：
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作者：
Ladányi;Lévay;Apagyi
多种有限基组展开方法应用于静态交换近似中的电子-氢-原子散射。所有这些方法都基于李普曼-施温格形式主义。对数值结果进行了仔细分析，旨在选择有效的方法来解决现实的电子原子（和电子分子）散射问题。结果表明，展开方法的效率可能敏感地依赖于交互项的特征。指出了简单矩法的一些困难。提出了一种特殊的最小二乘法，以避免在施温格变分法应用于单线态散射过程中遇到的寄生奇点。
A wide variety of finite-basis-set expansion methods is applied to electron--hydrogen-atom scattering in the static-exchange approximation. All these methods are based on the Lippmann-Schwinger formalism. A careful analysis of the numerical results is presented with the aim of selecting efficient approaches to the solution of realistic electron-atom (and electron-molecule) scattering problems. The results show that the efficiency of the expansion methods may depend sensitively on the characteristics of the interaction terms. Some difficulties of the simple method of moments are pointed out. A particular least-squares method is proposed to avoid the spurious singularities encountered in applications of the Schwinger variational method to singlet scattering processes.