Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model

6 A ug 1 99 8 Thomas - Fermi - Dirac - von Weizsäcker hydrodynamics in laterally modulated electronic systems

We have studied the collective plasma excitations of a two-dimensional electron gas with an arbitrary lateral charge-density modulation. The dynamics is formulated using a previously developed hydrodynamic theory based on the Thomas-Fermi-Dirac-von Weizsäcker approximation. In this approach, both the equilibrium and dynamical properties of the periodically modulated electron gas are treated in ...

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...

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

The Thomas - Fermi - von Weizsacker Theory of Atoms and Molecules *

We place the Thomas-Fermi-von Weizsacker model of atoms on a firm mathematical footing. We prove existence and uniqueness of solutions of the Thomas-Fermi-von Weizsacker equation as well as the fact that they minimize the Thomas-Fermi-von Weizsacker energy functional. Moreover, we prove the existence of binding for two very dissimilar atoms in the frame of this model. Introduction The Thomas-Fe...

The Nuclear Thomas-Fermi Model

The statistical Thomas-Fermi model is applied to a comprehensive survey of macroscopic nuclear properties. The model uses a Seyler-Blanchard effective nucleonnucleon interaction, generalized by the addition of one momentum-dependent and one density-dependent term. The adjustable parameters of the interaction were fitted to shell-corrected masses of 1654 nuclei, to the diffuseness of the nuclear...