scholarly journals Sample-size dependence of the ground-state energy in a one-dimensional localization problem

1996 ◽  
Vol 54 (1) ◽  
pp. 231-242 ◽  
Author(s):  
C. Monthus ◽  
G. Oshanin ◽  
A. Comtet ◽  
S. F. Burlatsky
Keyword(s):  
Sample Size ◽  
Ground State Energy ◽  
Ground State ◽  
Size Dependence ◽  
State Energy ◽  
Localization Problem ◽  
One Dimensional

Size dependence of ground-state energy of the excitons in spherical Y2O3

2012 ◽  
Vol 285 (13-14) ◽  
pp. 3116-3121 ◽  
Author(s):  
Qiong Liu ◽  
Hongwei Song ◽  
Wei Han
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
Size Dependence ◽  
State Energy

scholarly journals GROUND-STATE ENERGY OF THE ONE-DIMENSIONAL HUBBARD MODEL IN A SIMPLE SELF-CONSISTENT VERSION OF THE LADDER APPROXIMATION

1995 ◽  
Vol 09 (18) ◽  
pp. 1149-1157 ◽  
Author(s):  
F.D. BUZATU
Keyword(s):  
Hubbard Model ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Consistency Condition ◽  
Ladder Approximation ◽  
Model Parameters ◽  
Simple Assumption ◽  
One Dimensional ◽  
The One

The ground-state energy of the one-dimensional Hubbard model is calculated within the ladder approximation; from the comparison with the exact results in the repulsive case, it follows that the approximation is good at low densities or small couplings. The ladder approximation can be improved by imposing a self-consistency condition; using a simple assumption, the results become close to the exact ones in a large range of the model parameters.

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