Self-consistent solutions of the Thomas-Fermi-Dirac equation including gradient and correlation corrections

1991 ◽  
Vol 43 (7) ◽  
pp. 6094-6098 ◽  
Author(s):  
H. Szichman
Keyword(s):  
Dirac Equation ◽  
Thomas Fermi ◽  
Self Consistent ◽  
Correlation Corrections

Self-consistent extended Thomas-Fermi calculations in nuclei

1990 ◽  
Vol 510 (3) ◽  
pp. 397-416 ◽  
Author(s):  
M. Centelles ◽  
M. Pi ◽  
X. Viñas ◽  
F. Garcias ◽  
M. Barranco
Keyword(s):  
Thomas Fermi ◽  
Self Consistent

scholarly journals Numerical Calculation of the Electron Density at the Wigner–Seitz Radius Based on the Thomas–Fermi–Dirac Equation

2014 ◽  
Vol 11 (2) ◽  
pp. 344-347 ◽  
Author(s):  
Fengzhang Ren ◽  
Ke Cao ◽  
Jiangzhuo Ren ◽  
Alex A. Volinsky ◽  
Thanh Hai Tran ◽  
...  
Keyword(s):  
Numerical Calculation ◽  
Dirac Equation ◽  
Electron Density ◽  
Thomas Fermi

scholarly journals Solution of the Thomas-Fermi-Dirac Equation

Nature ◽  
1951 ◽  
Vol 168 (4264) ◽  
pp. 122-122 ◽  
Author(s):  
P. GOMBÁS ◽  
R. GÁSPÁR
Keyword(s):  
Dirac Equation ◽  
Thomas Fermi

Molecules with tetrahedral and octahedral symmetry. III. Theoretical basis of the ‘smoothing approximation’

1955 ◽  
Vol 51 (3) ◽  
pp. 517-518 ◽  
Author(s):  
R. A. Ballinger ◽  
N. H. March
Keyword(s):  
Theoretical Basis ◽  
Potential Fields ◽  
Central Field ◽  
Octahedral Symmetry ◽  
Thomas Fermi ◽  
Nuclear Field ◽  
Self Consistent ◽  
Electron Distributions

In Parts I and II of this series (March(6); Ballinger and March(1)), we considered in detail the application of the Thomas-Fermi (T.F.) approximation to molecules with tetrahedral and octahedral symmetry. In these papers, following the work of Buckingham, Massey and Tibbs(2), who obtained results for CH4, we averaged the nuclear field over angles (the ‘smoothing approximation’) and considered the electrons as though they moved in the resulting central field. In this way, it was possible in (6) to carry through self-consistent (T.F.) calculations giving the electron distributions and potential fields in tetrahedral and octahedral molecules.

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