A new heuristic computational solver for nonlinear singular Thomas–Fermi system using evolutionary optimized cubic splines

2020 ◽  
Vol 135 (1) ◽  
Author(s):  
Siraj ul Islam Ahmad ◽  
Fawad Faisal ◽  
Muhammad Shoaib ◽  
Muhammad Asif Zahoor Raja
Keyword(s):  
Fermi System ◽  
Cubic Splines ◽  
Thomas Fermi

On the energy of a thomas-fermi system

2009 ◽  
Vol 4 (S3B) ◽  
pp. 703-706
Author(s):  
George S. Handler
Keyword(s):  
Fermi System ◽  
Thomas Fermi

Angular terms in the electron density for the phosphine molecule

1956 ◽  
Vol 52 (4) ◽  
pp. 703-711 ◽  
Author(s):  
R. A. Ballinger ◽  
N. H. March
Keyword(s):  
Variational Method ◽  
Charge Density ◽  
Electron Density ◽  
Legendre Polynomials ◽  
Molecular Axis ◽  
Thomas Fermi ◽  
Line Charge ◽  
Density Map ◽  
Circular Line

ABSTRACTAn attempt is made to calculate the first few angular terms in an expansion of the electron density for the phosphine molecule in Legendre polynomials. Such an expansion is appropriate for a model in which the three hydrogen nuclei are smeared to form a circular line charge. The Thomas–Fermi approximation has been used in conjunction with the variational method. The variational density employed includes p and f angular terms. An approximate charge density map is constructed for a plane containing the molecular axis in order to demonstrate the effect of the angular terms.

Thomas-Fermi Theory of an Inhomogeneous Electron Liquid Generalized to Incorporate Density Gradients

1998 ◽  
Vol 36 (2) ◽  
pp. 91-103 ◽  
Author(s):  
C. Amovilli ◽  
N. H. March ◽  
T. G. Schmalz ◽  
D. J. Klein
Keyword(s):  
Density Gradients ◽  
Fermi Theory ◽  
Thomas Fermi

The extended Thomas-Fermi density matrix

1978 ◽  
Vol 74 (1-2) ◽  
pp. 13-14 ◽  
Author(s):  
B.K. Jennings
Keyword(s):  
Density Matrix ◽  
Thomas Fermi
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