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

2011/01/31 by Pierre-François Loos, Peter M. W. Gill · 31 citations
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Electron #Energy (signal processing) #Homogeneous #Hypersphere #Limit (mathematics) #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #Work (physics) #cond-mat.other #cond-mat.str-el #physics.chem-ph #physics.comp-ph

paper · pdf · doi:10.1063/1.3665393

published in The Journal of Chemical Physics 135(21), 214111 (American Institute of Physics) · 5 pages, 2 figures, 2 tables, accepted for publication in J. Chem. Phys

arxiv created 2011/11/14 · openalex publication_date 2011/12/07 · arxiv updated 2011/12/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Two Electrons on a Hypersphere: A Quasiexactly Solvable Model
• Ground-State Energy of the Electron Liquid in Ultrathin Wires
• Ground state of two electrons on a sphere
• Note on Exchange Phenomena in the Thomas Atom
• Nearsightedness of electronic matter
• The calculation of atomic fields

Cited by

• Exact Wave Functions of Two-Electron Quantum Rings
• Complex adiabatic connection: A hidden non-Hermitian path from ground to excited states