Connections between ground-state energies from optimized-effective potential exchange-only and Hartree–Fock methods

2003 ◽  
Vol 119 (14) ◽  
pp. 7087-7093 ◽  
Author(s):  
Stanislav Ivanov ◽  
Mel Levy
Keyword(s):  
Effective Potential ◽  
Ground State ◽  
Hartree Fock ◽  
Optimized Effective Potential ◽  
Ground State Energies

scholarly journals Effects of the Tensor Force on the Ground Properties of Zr Isotopes

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2193
Author(s):  
Chao-Feng Chen ◽  
Qi-Bo Chen ◽  
Xian-Rong Zhou ◽  
Yi-Yuan Cheng
Keyword(s):  
Symmetry Breaking ◽  
Single Particle ◽  
Ground State ◽  
Tensor Force ◽  
Pseudospin Symmetry ◽  
Hartree Fock ◽  
Geometric Symmetry ◽  
Symmetry Properties ◽  
Ground State Energies

The effects of the tensor force on the ground properties of Zr isotopes are studied in the framework of the Skyrme–Hartree–Fock approach. It is found that the tensor force strongly affects the ground state energies and the geometric symmetry properties, in particular for those isotopes near N=60 region. The effects are attributed to the fact that the tensor force enlarges the spin and pseudospin symmetry breaking and therefore results in a ∼2 MeV sub-shell gap between d3/2 and s1/2 single-particle levels.

scholarly journals Atomic ground state energies

1980 ◽  
Vol 58 (12) ◽  
pp. 1684-1685
Author(s):  
R. K. Bhaduri ◽  
M. Brack
Keyword(s):  
Coulomb Potential ◽  
Ground State ◽  
Great Accuracy ◽  
Model System ◽  
Binding Energies ◽  
Scaled Model ◽  
Hartree Fock ◽  
Atomic Ground State ◽  
Ground State Energies

It is demonstrated that atomic Hartree–Fock binding energies may be reproduced with great accuracy (within about four parts in a thousand) by a scaled model system in which the electrons are noninteracting, and are bound in a bare Coulomb potential.

scholarly journals Study the atomic properties of 2s shell for some atoms

2019 ◽  
Vol 11 (22) ◽  
pp. 20-26
Author(s):  
Shaymaa Awad Kadhim
Keyword(s):  
Wave Function ◽  
Ground State ◽  
The Other ◽  
Expectation Values ◽  
Hartree Fock ◽  
Atomic Properties ◽  
Ground State Energies

Ground state energies and other properties of 2S shell for some atoms as Be(Z=4), B(Z=5), C(Z=6) and N(Z=7) were calculated by using Hartree-Fock wave function. We found the values of potential energies in hartree unit (3.8369, 6.78565, 10.18852 and 14.41089) respectively and the other proprieties like expectation values of the position < r1m >  were in agreement with the published results. All the studied atomic properties were normalized. 

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