The Shape of the Self-Consistent Field form of the Differential Equation for the Ground-State Electron Density of a Weakly Inhomogeneous But Fully Interacting Electron Liquid

1998 ◽  
Vol 36 (2) ◽  
pp. 129-132 ◽  
Author(s):  
N. H. March
Keyword(s):  
Differential Equation ◽  
Electron Density ◽  
Ground State ◽  
The Self ◽  
Consistent Field ◽  
State Electron ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Field Form ◽  
Ground State Electron

GROUND STATE ENERGY ESTIMATION OF JELLIUM SYSTEMS BY SPATIAL GRIDDING

1995 ◽  
Vol 09 (01) ◽  
pp. 45-53 ◽  
Author(s):  
SHOHREH MOINI ◽  
ASHOK PURI ◽  
DARIUSH HABIBOLLAHZADEH ◽  
PURNA C. DAS
Keyword(s):  
Electron Density ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Numerical Approach ◽  
Energy Estimation ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Individual Grid

A numerical approach to estimate the ground state energy of jellium systems is explored. In this approach, the space occupied by the system is gridded, with individual grid elements small enough that the electron density within an element is considered constant. The energy of an element is then a function (and not functional) of its electron density in a given environment and the total energy of the system is obtained by summing the contributions from all the elements. A self-consistent field procedure to optimize the grid densities is then carried out resulting in the ground state energy of the system. The method is tested for known atomic and jellium models to show its validity. This approach shows enough flexibility to handle the irregular jellium shapes.

The self-consistent field with exchange for some 10 and 12 electron systems

1957 ◽  
Vol 53 (1) ◽  
pp. 206-213 ◽  
Author(s):  
Charlotte Froese
Keyword(s):  
Ground State ◽  
The Self ◽  
Electron Systems ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field

ABSTRACTThe results of self-consistent field calculations with exchange for the ground-state configurations of F−, Fe+16, +14, Al+3, +1 are presented.

Sign in / Sign up

Export Citation Format

Share Document