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arXiv · 1005.0676

Invariance of the correlation energy at high density and large dimension in two-electron systems

Pierre-François Loos·Peter M. W. Gill
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Abstract

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 {\em via} a Coulomb potential is given by $\Ec \sim -1/(8D^2)$ 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.

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Pierre-François Loos, Peter M. W. Gill. 2010-08-14. Invariance of the correlation energy at high density and large dimension in two-electron systems. https://doi.org/10.1103/physrevlett.105.113001

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