Correlation in the elastic and inelastic S-wave scattering of electrons by H and He+
Correlation in the elastic and inelastic S-wave scattering of electrons by H and He+
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DOI：
10.1088/0370-1328/88/3/302
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发表时间：
1966-07
期刊：
影响因子：
--
通讯作者：
P. Burke;A. Taylor
中科院分区：
文献类型：
--
作者：
P. Burke;A. Taylor
当电子-电子关联项加入到总波函数的紧耦合展开式中时，导出了描述电子被类氢离子散射的方程。1 s、2s和2 p项在后一种扩展中被保留，而多达16个相关项在前一种扩展中被保留。假设入射电子能量不足以激发靶的第三量子能级，则所得解满足最小值原理。方程的数值解进行了讨论，并给出了弹性和非弹性S波过渡的e-H和e-He+的结果。在最小值原理适用的能量之上，可以通过改变波函数中的非线性参数来获得物理上重要的结果，以避免解中的奇异性。
Equations are derived describing the scattering of electrons by hydrogen-like ions when electron-electron correlation terms are added to the close-coupling expansion of the total wave function. The 1s, 2s and 2p terms are retained in the latter expansion, while up to sixteen correlation terms are retained in the former expansion. Provided the incident electron energy is insufficient to excite the third quantum level of the target the resultant solution satisfies a minimum principle. The numerical solution of the equations is discussed and results are presented for elastic and inelastic S-wave transitions in e--H and e--He+. Above the energy where the minimum principle applies it is possible to obtain physically significant results by varying a non-linear parameter in the wave function in order to avoid singularities in the solution.