Electron Correlation in the Ground State of Helium

Electron Correlation in the Ground State of Helium
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氦基态的电子相关性

DOI：
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发表时间：
1961
期刊：
影响因子：
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通讯作者：
A. Neilson
A. Neilson
中科院分区：
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文献类型：
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作者：
C. Coulson;A. Neilson

文献摘要

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给出了氦原子基态电子间距离r12的分布函数f（r12）和r12的任意正整数次幂的平均值的计算公式。五个不同的波函数被认为是，显示不同程度的电子相关。相关度越大，平均电子分离越大。绘制f（r12）的曲线，并从中评估库仑孔的大小和深度。在1/r12的平均值和用这五个波函数计算的能量误差之间存在密切的相关性。
Formulae are obtained for the distribution function f(r12) of the interelectronic distance r12 in the ground state of helium, and for the mean value of any positive integral power of r12. Five different wave functions are considered, showing varying degrees of electron correlation. The greater the degree of correlation the larger is the mean electronic separation. Curves of f(r12) are plotted, and from them the size and depth of the Coulomb hole are evaluated. There is a close correlation between the mean value of 1/r12 and the error in the energy as calculated with these five wave functions.