Levy-Perdew-Sahni密度方程：精确有效势和双电子原子系统的自洽解
The Levy-Perdew-Sahni equation for the density: accurate effective potential and self-consistent solution for two-electron atomic systems
摘要：
Levy-Perdew-Sahni（LPS）直接利用密度方程证明了多电子系统的密度与电离势之间的关系。该方程采用了由LPS从系统的多电子波函数导出的有效势。在本文中，我们计算这个潜在的明确采用一个精确的波函数的两电子系统。与此波函数连接的LPS方程，然后解决自洽采用这种潜力，并显示导致准确的密度和化学势为这些系统。
英文摘要：
Levy-Perdew-Sahni (LPS) provided a proof of the connection between the density and ionization potential of a many-electron system using the equation for the density directly. This equation employs an effective potential which is derived by LPS from the many-electron wavefunction of the system. In this paper, we calculate this potential explicitly by employing an accurate wavefunction for two-electron systems. With this wavefunction connection the LPS equation is then solved self- consistently employing this potential and shown to lead to accurate densities and chemical potentials for these systems.
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