CORRELATION ENERGY OF AN ELECTRON GAS AT HIGH DENSITY
CORRELATION ENERGY OF AN ELECTRON GAS AT HIGH DENSITY
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DOI：
10.1103/physrev.106.364
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发表时间：
1957-01-01
期刊：
影响因子：
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通讯作者：
BRUECKNER, KA
中科院分区：
文献类型：
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作者：
GELLMANN, M;BRUECKNER, KA
量 ε c 定义为电子气每个粒子的相关能，以里德堡表示。它是传统无量纲参数 r s 的函数，其中 r s− 3 与电子密度成正比。这里 ε c 是针对小 r s 值（高密度）计算的，并发现由 ε c= A ln r s+ C+ O (r s) 给出。 A 的值为 0.0622，这一结果可以从 Wigner、Macke 和 Pines 之前的工作中推导出来。这里首次给出了常数C的精确公式；早期的工作人员仅对 C 进行了近似计算。此外，还显示了如何计算 r s 中的下一个校正。该方法基于对积分符号下扰动级数的最高发散项求和以给出收敛结果。求和是通过类似于场论中费曼方法的技术来执行的。
The quantity ε c is defined as the correlation energy per particle of an electron gas expressed in rydbergs. It is a function of the conventional dimensionless parameter r s, where r s− 3 is proportional to the electron density. Here ε c is computed for small values of r s (high density) and found to be given by ε c= A ln r s+ C+ O (r s). The value of A is found to be 0.0622, a result that could be deduced from previous work of Wigner, Macke, and Pines. An exact formula for the constant C is given here for the first time; earlier workers had made only approximate calculations of C. Further, it is shown how the next correction in r s can be computed. The method is based on summing the most highly divergent terms of the perturbation series under the integral sign to give a convergent result. The summation is performed by a technique similar to Feynman's methods in field theory.