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.
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页数：4
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