Modified Weizsäcker Corrections in Thomas-Fermi Theories

Modified Weizsäcker Corrections in Thomas- Fermi Theories

Dipole Moments in Thomas-Fermi-Dirac and Thomas-Fermi Theories

The Thomas-Fermi approximation for gauge theories

An effective field approximation, similar to the atomic Thomas-Fermi approach, is proposed for studying non-Abelian gauge theories which includes finitevolume effects. As applications of the formalism the equation of state for an SU(2) gauge theory with massless fermions is obtained. The extensions to realistic situations are briefly discussed. ? [email protected] † [email protected] ‡ jose.w...

Optimizing a parametrized Thomas-Fermi-Dirac-Weizsäcker density functional for atoms.

Because of issues with accuracy and transferability of existing orbital-free (OF) density functionals, OF functional development remains an active research area. However, due to numerical difficulties, all-electron self-consistent assessment of OF functionals is limited. Using an all-electron radial OFDFT code, we evaluate the performance of a parametrized OF functional for a wide range in para...

Corrections to Thomas-Fermi densities at turning points and beyond.

Uniform semiclassical approximations for the number and kinetic-energy densities are derived for many noninteracting fermions in one-dimensional potentials with two turning points. The resulting simple, closed-form expressions contain the leading corrections to Thomas-Fermi theory, involve neither sums nor derivatives, are spatially uniform approximations, and are exceedingly accurate.