Most treatments of electron-electron correlations in dense plasmas either ignore them entirely (random phase approximation) or neglect the role of ions (jellium approximation). In this work, we go beyond both these approximations to derive a new formula for the electron-electron static structure factor which properly accounts for the contributions of both ionic structure and quantum-mechanical dynamic response in the electrons. The result can be viewed as a natural extension of the quantum Ornstein-Zernike theory of ionic and electronic correlations, and it is suitable for dense plasmas in which the ions are classical and the conduction electrons are quantum-mechanical. The corresponding electron-electron pair distribution functions are compared with the results of path integral Monte Carlo simulations, showing good agreement whenever no strong electron resonance states are present. We construct approximate potentials of mean force which describe the effective screened interaction between electrons. Significant deviations from Debye-H"uckel screening are present at temperatures and densities relevant to high energy density experiments involving warm and hot dense plasmas. The presence of correlations between conduction electrons is likely to influence the electron-electron contribution to the electrical and thermal conductivity. It is expected that excitation processes involving the conduction electrons (e.g., free-free absorption) will also be affected.

中文翻译：

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稠密等离子体中传导电子之间的相关性

致密等离子体中大多数电子-电子相关性处理要么完全忽略它们（随机相位近似），要么忽略离子的作用（jellium近似）。在这项工作中，我们超越了这两种近似，得出了电子-电子静态结构因子的新公式，该公式适当地说明了离子结构和电子中的量子力学动态响应的作用。该结果可以看作是离子离子和电子相关性的量子Ornstein-Zernike理论的自然扩展，它适用于离子为经典离子且导电电子为量子力学的稠密等离子体。将相应的电子-电子对分布函数与路径积分蒙特卡罗模拟的结果进行比较，当不存在强电子共振态时显示出良好的一致性。我们构造平均力的近似势，该势描述了电子之间有效的屏蔽相互作用。在涉及热和热密集等离子体的高能量密度实验相关的温度和密度下，存在与Debye-H“ uckel筛查法明显不同的情况。导电电子之间存在相关性，很可能会影响电子对电导率和导热率的贡献预期涉及传导电子的激发过程（例如自由-自由吸收）也将受到影响。