scholarly journals Hubbard model with nearest-neighbor and bond-charge interaction: Exact ground-state solution in a wide range of parameters

1993 ◽  
Vol 70 (17) ◽  
pp. 2637-2640 ◽  
Author(s):  
Rainer Strack ◽  
Dieter Vollhardt
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
Nearest Neighbor ◽  
Ground State Solution ◽  
State Solution ◽  
Exact Ground State ◽  
Wide Range ◽  
Charge Interaction ◽  
Bond Charge

Exact Ground State Solution for Anyons with spin-$\frac {1}{2}$

1992 ◽  
Vol 17 (1) ◽  
pp. 107-110
Author(s):  
Shun-Qing Shen ◽  
J. Cai ◽  
Rui-Bao Tao
Keyword(s):  
Ground State ◽  
Ground State Solution ◽  
State Solution ◽  
Exact Ground State

EXACT GROUND STATE OF THE GENERALIZED HUBBARD MODEL FOR A WIDE RANGE OF PARAMETERS

1993 ◽  
Vol 07 (21) ◽  
pp. 1397-1405 ◽  
Author(s):  
A. A. OVCHINNIKOV
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
Occupied Site ◽  
Metal Insulator Transition ◽  
Metal Insulator ◽  
Exact Ground State ◽  
Wide Range ◽  
Ferromagnetic Ground State ◽  
Generalized Hubbard Model ◽  
Relevant Range

We present the exact ground-state wave function and energy of the generalized Hubbard model, subjected to the condition that the number of doubly-occupied sites is conserved for a wide physically relevant range of parameters. For one hole and one doubly-occupied site, the existence of the ferromagnetic ground state is proved which allows one to determine the critical value of the on-site repulsion corresponding to the point of metal–insulator transition.

Existence of a Ground State Solution for a Quasilinear Schrödinger Equation

2014 ◽  
Vol 14 (4) ◽  
Author(s):  
Xiang-dong Fang ◽  
Zhi-qing Han
Keyword(s):  
Schrödinger Equation ◽  
Ground State ◽  
Schrodinger Equation ◽  
Ground State Solution ◽  
State Solution ◽  
Quasilinear Schrödinger Equation

AbstractIn this paper we are concerned with the quasilinear Schrödinger equation−Δu + V(x)u − Δ(uwhere N ≥ 3, 4 < p < 4N/(N − 2), and V(x) and q(x) go to some positive limits V

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