The Coupled-Channels Integral-Equations Method in the Theory of Low-Energy Electron-Molecule Scattering
The Coupled-Channels Integral-Equations Method in the Theory of Low-Energy Electron-Molecule Scattering
复制标题
低能电子-分子散射理论中的耦合通道积分方程法
DOI：
10.1007/978-1-4684-6988-2_3
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发表时间：
1979
影响因子：
8.6
通讯作者：
M. Morrison
中科院分区：
文献类型：
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作者：
M. Morrison
这个研讨会的一部分是专门讨论电子-分子碰撞的，涉及到两个有点互补类的方法来解决这个问题：L2-变分方法，如R-矩阵和T-矩阵方法，和本征函数展开方法，如紧耦合或耦合通道方法。施奈德和弗利夫莱特的随附文章中讨论了前一种方法。在本文中，我们将关注低能电子-分子散射的耦合通道方法。1 -4电子-分子碰撞物理的各个方面已经在其他地方详细讨论过。因此，本审查将强调解决问题的技术。我们首先描述如何制定和执行这样的计算（Secs.第二和第三），然后提出可能的陷阱所在和避免它们的方法（第二节）。IV）。由于大多数的应用程序到目前为止的耦合通道方法采用近似的本地潜力，在本文中的发展将主要处理通过积分方程算法的微分方程的解决方案。积分微分方程的情况（当严格考虑电子交换效应时出现）将在第二节中简要讨论。诉
The part of this workshop that is devoted to electron-molecule collisions is concerned with two somewhat complimentary classes of approaches to this problem: L2-variational methods, such as the R-matrix and T-matrix methods, and eigenfunction-expansion methods, such as the close-coupling or coupled-channel method. The former approaches are discussed in accompanying articles by Schneider and by Fliflet. In this paper, we shall be concerned with the coupled-channels method for low-energy electron-molecule scattering.1–4 Various aspects of the physics of electron-molecule collisions have been discussed in detail elsewhere. Thus the present review will emphasize techniques for solving the problem. We first describe how to formulate and carry out such a calculation (Secs. II and III) and then suggest where likely pitfalls lie and ways to avoid them (Sec. IV). Since most of the applications to date of the coupled-channel method have employed approximate local potentials, the development in this paper will deal primarily with the solution of differential equations via an integral-equations algorithm. The case of integrodifferential equations (which arise when electron exchange effects are rigorously taken into account) will be discussed briefly in Sec. V.