Kinetic energy of an electron gas

1985 ◽  
Vol 32 (4) ◽  
pp. 2670-2670 ◽  
Author(s):  
Ronald Bass
Keyword(s):  
Kinetic Energy ◽  
Electron Gas

Orbital-free kinetic-energy functionals for the nearly free electron gas

1998 ◽  
Vol 58 (20) ◽  
pp. 13465-13471 ◽  
Author(s):  
Yan Alexander Wang ◽  
Niranjan Govind ◽  
Emily A. Carter
Keyword(s):  
Kinetic Energy ◽  
Free Electron ◽  
Electron Gas ◽  
Energy Functionals ◽  
Orbital Free

scholarly journals Spin-resolved correlation kinetic energy of the spin-polarized electron gas

2004 ◽  
Vol 70 (20) ◽  
Author(s):  
John F. Dobson ◽  
Hung M. Le ◽  
Giovanni Vignale
Keyword(s):  
Kinetic Energy ◽  
Electron Gas ◽  
Spin Polarized

Spin-Up-Spin-Down Pair Distribution Function at Metallic Densities

1972 ◽  
Vol 50 (15) ◽  
pp. 1756-1763 ◽  
Author(s):  
B. B. J. Hede ◽  
J. P. Carbotte
Keyword(s):  
Distribution Function ◽  
Kinetic Energy ◽  
Potential Energy ◽  
Born Approximation ◽  
Pair Distribution Function ◽  
Short Range ◽  
Electron Gas ◽  
Scattering Effects ◽  
Wide Range ◽  
Short Range Correlations

Correlations in an electron gas are particularly important at metallic densities because the potential energy cannot be ignored in comparison with the kinetic energy; in particular, interactions are not weak as r → 0, so that a simple Born approximation does not hold in this limit. Short-range correlations between oppositely-spinned electrons can be accounted for by an infinite series of particle–particle ladder diagrams. It leads to a Bethe–Goldstone type of equation which can be solved by an angle-averaged approximation. The resultant spin-up-down p.d.f. is positive over a wide range of metallic densities. A further correction by including particle–hole scattering effects changes the previous results only slightly.

Exact Thomas—Fermi method in perturbation theory

1967 ◽  
Vol 299 (1457) ◽  
pp. 279-286 ◽  
Keyword(s):  
Energy Density ◽  
Kinetic Energy ◽  
Particle Density ◽  
Electron Gas ◽  
Perturbation Series ◽  
Kinetic Energy Density ◽  
Thomas Fermi ◽  
The One ◽  
Body Potential ◽  
Systematic Formulation

A variational principle is constructed which leads directly to the March-Murray perturbation series relating the particle density ρ (r) with the one-body potential V (r) in an electron gas. An explicit, though perturbative, form for the Hohenberg-Kohn universal functional, which is essentially the kinetic energy density, is thereby obtained. When the spatial variations of density and potential are slow, the usual Thomas-Fermi ρ 5/3 relation between kinetic energy density and particle density is regained. The present approach also leads to a systematic formulation of the gradient expansion of the kinetic energy density.

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