Harmonically trapped jellium

Abstract

We discuss the model of a $D$-dimensional confined electron gas in which the particles are trapped by a harmonic potential. In particular, we study the non-interacting kinetic and exchange energies of finite-size inhomogeneous systems, and compare the resulting Thomas-Fermi and Dirac coefficients with various uniform electron gas paradigms. We show that, in the thermodynamic limit, the properties of this model are identical to those of the $D$-dimensional Fermi gas.

6 pages, 2 figures, 1 table, invited paper for Peter Taylor's 60th anniversary, submitted to Molecular Physics

References in corpus (14)

• Finite-size correction in many-body electronic structure calculations
• Two electrons on a hypersphere: a quasi-exactly solvable model
• Ground state of two electrons on a sphere
• Exact wave functions of two-electron quantum rings
• Ground-state energy of the electron liquid in ultrathin wires
• Excited states of spherium
• Ground state properties of the one-dimensional electron liquid
• Correlation energy of two electrons in the high-density limit
• Uniform electron gases
• Hooke's law correlation in two-electron systems
• A Tale of Two Electrons: Correlation at High Density
• Ground state of two electrons on concentric spheres
• Finite-size correction in many-body electronic structure calculations of magnetic systems
• Correlation energy of anisotropic quantum dots

Cited by in corpus (2)

• Uniform Electron Gases. II. The Generalized Local Density Approximation in One Dimension
• Exchange functionals based on finite uniform electron gases