TY - JOUR

T1 - A tale of two electrons

T2 - Correlation at high density

AU - Loos, Pierre Franois

AU - Gill, Peter M.W.

PY - 2010/11/10

Y1 - 2010/11/10

N2 - We review our recent progress in the determination of the high-density correlation energy Ec 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∼-1/(8D2) 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.

AB - We review our recent progress in the determination of the high-density correlation energy Ec 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∼-1/(8D2) 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.

UR - http://www.scopus.com/inward/record.url?scp=78649972837&partnerID=8YFLogxK

U2 - 10.1016/j.cplett.2010.09.019

DO - 10.1016/j.cplett.2010.09.019

M3 - Article

SN - 0009-2614

VL - 500

SP - 1

EP - 8

JO - Chemical Physics Letters

JF - Chemical Physics Letters

IS - 1-3

ER -