Simplified Approach to the Ground-State Energy of an Imperfect Bose Gas. III. Application to the One-Dimensional Model

1964 ◽  
Vol 134 (2A) ◽  
pp. A312-A315 ◽  
Author(s):  
Elliott H. Lieb ◽  
Werner Liniger
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Bose Gas ◽  
Dimensional Model ◽  
One Dimensional ◽  
Simplified Approach ◽  
The One

scholarly journals Ground State Energy of the One-Component Charged Bose Gas

2001 ◽  
Vol 217 (1) ◽  
pp. 127-163 ◽  
Author(s):  
Elliott H. Lieb ◽  
Jan Philip Solovej
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Bose Gas ◽  
The One

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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