Self-consistent perturbation theory of the anderson model: Ground state properties

1984 ◽  
Vol 57 (4) ◽  
pp. 281-287 ◽  
Author(s):  
E. M�ller-Hartmann
Keyword(s):  
Perturbation Theory ◽  
Anderson Model ◽  
Ground State ◽  
Ground State Properties ◽  
Self Consistent

scholarly journals Proton drip line nuclei in the Relativistic Hartree-Bogoliubov model

2019 ◽  
Vol 11 ◽  
Author(s):  
Georgios A. Lalazissis
Keyword(s):  
Experimental Data ◽  
Single Particle ◽  
Ground State ◽  
Drip Line ◽  
Proton Drip Line ◽  
Ground State Properties ◽  
Spectroscopic Factors ◽  
Self Consistent ◽  
Valence Proton

The Relativistic Hartree Bogoliubov (RHB) theory is applied to the description of ground-state properties of proton-rich odd-Z nuclei. The model predicts the location of the proton drip-line, the ground-state quadrupole deformations and one-proton separation energies at and beyond the drip-line, the deformed single-particle Orbitals occupied by the odd valence proton, and the corresponding spectroscopic factors. The results of fully self-consistent RHB calculations are compared with experimental data on deformed and transitional proton emitters and the predictions of various mass models.

Ground-state properties of the periodic Anderson model

1987 ◽  
Vol 58 (4) ◽  
pp. 411-414 ◽  
Author(s):  
R. Blankenbecler ◽  
J. R. Fulco ◽  
W. Gill ◽  
D. J. Scalapino
Keyword(s):  
Anderson Model ◽  
Ground State ◽  
Periodic Anderson Model ◽  
Ground State Properties

Pertubation Theory About Self-Consistent Field Solution in One-Dimensional Hubbard Model

2003 ◽  
Vol 17 (18n20) ◽  
pp. 3363-3366 ◽  
Author(s):  
A. N. Kocharian ◽  
C. Yang ◽  
Y. L. Chiang
Keyword(s):  
Perturbation Theory ◽  
Hubbard Model ◽  
Electron Concentration ◽  
Ground State ◽  
Second Order ◽  
Electron Interaction ◽  
Field Solution ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field

The accurate analytical and numerical calculations of the electronic band structure and ground state properties of strongly correlated electrons within the Hubbard model are performed by constructing convergent perturbation theory for general interaction strength and electron concentration. We test the developed perturbation approach about mean field solution in the extreme conditions of one dimensionality for entire parameter space of electron interaction U/t and electron concentration n. The many-body perturbation formalism up two second order about the generalized self-consistent field (GSCF) Hamiltonian goes beyond the range of applicability of standard perturbation theory by incorporating systematically the effect of the random-phase-type perturbation techniques and controlled expansion of the energy functional for general U/t and n. The second order perturbation correction vanishes at small and large U/t limit and performed calculations of the ground state energy show a next to the perfect numerical agreement with the Bethe-ansatz results.

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