标题： 介电函数在电子液体中的精确交换贡献。 II. 解析表达式 显示英文标题

标题： Dielectric function with exact exchange contribution in the electron liquid. II. Analytical expression

摘要： 一阶电子相互作用在微扰理论中的适当线性响应函数$\Pi ({\bf k}, \omega )$产生了电子液体中介电函数$\epsilon ({\bf k} , \omega)$的交换贡献。 其虚部$Im \Pi_1 ({\bf k}, \omega)$被精确计算。 得到了$Im \Pi_1 ({\bf k}, \omega)$的解析表达式，经过改进后形式相当简单。 显示英文摘要

摘要： The first-order, in terms of electron-interaction in the perturbation theory, of the proper linear response function $\Pi ({\bf k}, \omega )$ gives rise to the exchange-contribution to the dielectric function $\epsilon ({\bf k} , \omega)$ in the electron liquid. Its imaginary part, $Im \Pi_1 ({\bf k}, \omega)$, is calculated exactly. An analytical expression for $Im \Pi_1 ({\bf k}, \omega)$ is derived which after refinement has a quite simple form.