title: Thinking outside the box: the uniform electron gas on a hypersphere.
abstract: 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 (r(s) → 0, where r(s) 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.
authors.affiliation: Research School of Chemistry, Australian National University, Canberra, ACT 0200, Australia. loos@rsc.anu.edu.au
authors.forename: Pierre-François
authors.initials: PF
authors.lastname: Loos
authors.forename: Peter M W
authors.initials: PM
authors.lastname: Gill