scholarly journals Approximate solution of a Thomas–Fermi model equation for bulk self-gravitating stellar objects in two dimensions

2016 ◽  
Vol 38 (1) ◽  
pp. 015406
Author(s):  
D Anderson ◽  
M Desaix
Keyword(s):  
Approximate Solution ◽  
Model Equation ◽  
Two Dimensions ◽  
Stellar Objects ◽  
Fermi Model ◽  
Thomas Fermi

Comparison of Variational Solutions of the Thomas-Fermi Model in Terms of the Corrected Ionization Energy

1987 ◽  
Vol 42 (9) ◽  
pp. 943-947
Author(s):  
I. Agil ◽  
A. Alharkan ◽  
H . Alhendi ◽  
A. Alnaghmoosh
Keyword(s):  
Ionization Energy ◽  
Trial Function ◽  
Binding Energies ◽  
Initial Slope ◽  
Fermi Model ◽  
Thomas Fermi ◽  
Variational Solutions ◽  
Comparison Of The Results

It is shown that leading corrections, to the ionization energy, of many-electrons atom, can be expressed as leading corrections of initial slope of trial variational solutions of the Thomas-Fermi equation. Some variational solutions with different initial slopes are compared. A comparison of the results shows, that as far as the binding energies are concerned a trial function with its slope not close to the (negative) Baker’s constant may not be suited.

On sodium clusters in C60 fullerides

1997 ◽  
Vol 75 (1) ◽  
pp. 77-82 ◽  
Author(s):  
M. Apostol ◽  
F. Rachdi ◽  
C. Goze ◽  
L. Hajji
Keyword(s):  
Electric Charge ◽  
The Body ◽  
Electron Charge ◽  
Body Centered Cubic ◽  
Fermi Theory ◽  
Fermi Model ◽  
Thomas Fermi ◽  
Sodium Clusters ◽  
Alkali Fullerides

Sodium (Na) clusters in octahedral cages of Na-intercalated fullerides Na6C60 and Na11C60 are studied within a Thomas–Fermi model. It is shown that the tetrahedral Na4 cluster in Na6C60 has an electric charge ~ +2.7 (in electron charge units), while the body-centered cubic Na9 cluster in Na11C60 is almost electrically neutral. Keywords: sodium clusters, alkali fullerides, Thomas–Fermi theory, ionization charge.

The Thomas-Fermi model: momentum expectation values

1983 ◽  
Vol 44 (3) ◽  
pp. 333-342 ◽  
Author(s):  
I.K. Dmitrieva ◽  
G.I. Plindov
Keyword(s):  
Expectation Values ◽  
Fermi Model ◽  
Thomas Fermi

scholarly journals X ɑ Method with Pseudopotentials

1980 ◽  
Vol 35 (6) ◽  
pp. 628-636 ◽  
Author(s):  
Levente Szasz
Keyword(s):  
Shell Structure ◽  
Virial Theorem ◽  
Radial Density ◽  
Fermi Model ◽  
New Formalism ◽  
Density Dependent ◽  
Thomas Fermi

The l a method for an atom or molecule is transformed into an all-electron pseudopotential formalism. The equations of the X ɑ method are exactly transformed into pseudo-orbital equations and the resulting pseudopotentials are replaced by simple density-dependent potentials derived from Thomas-Fermi model. It is shown that the new formalism satisfies the virial theorem. As the first application it is shown that the model explains the shell-structure of atoms by the property that the pseudo-orbitals for the (ns), (np), (nd) etc. electrons are, in a very good approximation, the solutions of the same equation and have their maxima at the same point thereby creating the peaks in the radial density characterizing the shell structure

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