A tale of two electrons: Correlation at high density

作者：Loos Pierre Francois; Gill Peter M W^*

来源：Chemical Physics Letters, 2010, 500(1-3): 1-8.

DOI：10.1016/j.cplett.2010.09.019

We review our recent progress in the determination of the high-density correlation energy E-c in two-electron systems. Several two-electron systems are considered, such as the well known helium-like ions (helium), and the Hooke's law atom (hookium). We also present results regarding two electrons on the surface of a sphere (spherium), and two electrons trapped in a spherical box (ballium). We also show that, in the large-dimension limit, the high-density correlation energy of two opposite-spin electrons interacting via a Coulomb potential is given by Ec similar to -1/(8D(2)) for any radial external potential V(r), where D is the dimensionality of the space. This result explains the similarity of Ec in the previous two-electron systems for D = 3.

• 出版日期2010-11-10