Invariance of the correlation energy at high density and large dimension in two-electron systems.
We prove that, in the large-dimension limit, the high-density correlation energy Ec of two opposite-spin electrons confined in a D-dimensional space and interacting via a Coulomb potential is given by Ec∼-1/(8D2) for any radial confining potential V(r). This result explains the observed similarity of Ec in a variety of two-electron systems in three-dimensional space.
Loos
Pierre-François
PF
Research School of Chemistry, Australian National University, Canberra, Australian Capital Territory, 0200, Australia. loos@rsc.anu.edu.au
Gill
Peter M W
PM