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 -