长程和短程密度泛函的标度关系、维里定理和能量密度
Scaling relations, virial theorem and energy densities for long-range and short-range density functionals
摘要：
在密度泛函理论的框架下，我们将库仑电子-电子相互作用分解为长程和短程两部分，导出了一些标度关系和相应的维里定理.我们研究了局域密度近似的行为在高密度极限的长程和短程泛函进行了详细的分析的相关能量的均匀电子气相互作用，通过一个远程只有电子-电子排斥。讨论了交换和关联能量密度的可能定义，并举例说明。
英文摘要：
We analyze a decomposition of the Coulomb electron-electron interaction into a long-range and a short-range part in the framework of density functional theory, deriving some scaling relations and the corresponding virial theorem. We study the behavior of the local density approximation in the high-density limit for the long-range and the short-range functionals by carrying out a detailed analysis of the correlation energy of a uniform electron gas interacting via a long-range only electron-electron repulsion. Possible definitions of exchange and correlation energy densities are discussed and clarified with some examples.
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