Invariance of the Correlation Energy at High Density and Large Dimension in Two-Electron Systems

被引：29

作者：

Loos, Pierre-Francoise ^{[1
]}

Gill, Peter M. W. ^{[1
]}

机构：

[1] Australian Natl Univ, Res Sch Chem, Canberra, ACT 0200, Australia

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 105卷 / 11期

基金：

澳大利亚研究理事会;

关键词：

QUANTUM-MECHANICS; ELECTRON CORRELATION; PERTURBATION-THEORY; ATOMIC ENERGIES; EXPANSION; LIMIT; CONVERGENCE; MODEL;

D O I：

10.1103/PhysRevLett.105.113001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that, in the large-dimension limit, the high- density correlation energy E-c of two opposite-spin electrons confined in a D-dimensional space and interacting via a Coulomb potential is given by E-c similar to -1/(8D(2)) for any radial confining potential V(r). This result explains the observed similarity of E-c in a variety of two-electron systems in three-dimensional space.

引用

页数：4

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