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Thinking outside the box: the uniform electron gas on a hypersphere

Loos, Pierre-François; Gill, Peter M. W.


We discuss alternative homogeneous electron gas systems in which a finite number n of electrons are confined to a D-dimensional sphere. We derive the first few terms of the high-density (rs → 0, where rs is the Seitz radius) energy expansions for these systems and show that, in the thermodynamic limit (n → ∞), these terms become identical to those of D-dimensional jellium.

CollectionsANU Research Publications
Date published: 2011-12-07
Type: Journal article
Source: Journal of Chemical Physics
DOI: 10.1063/1.3665393


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