Evidence for correlation effects in the hyperfine structure of the negative vacancy in silicon

1983 ◽  
Vol 28 (5) ◽  
pp. 2403-2410 ◽  
Author(s):  
M. Lannoo
Keyword(s):  
Hyperfine Structure ◽  
Correlation Effects

Correlation Effects on Hyperfine-Structure Expectation Values for Atoms with Open2pSubshells

1972 ◽  
Vol 6 (4) ◽  
pp. 1375-1391 ◽  
Author(s):  
Sven Larsson ◽  
Richard Edwin Brown ◽  
Vedene H. Smith
Keyword(s):  
Hyperfine Structure ◽  
Correlation Effects ◽  
Expectation Values

Correlation Effects on Hyperfine-Structure Expectation Values for the BoronP2Ground State

1970 ◽  
Vol 2 (3) ◽  
pp. 593-599 ◽  
Author(s):  
Richard Edwin Brown ◽  
Sven Larsson ◽  
Vedene H. Smith
Keyword(s):  
Hyperfine Structure ◽  
Correlation Effects ◽  
Expectation Values

Correlation Effects on Hyperfine-Structure Expectation Values for the BoronP2Ground State

1971 ◽  
Vol 3 (6) ◽  
pp. 2150-2150
Author(s):  
R. E. Brown ◽  
S. Larsson ◽  
V. H. Smith
Keyword(s):  
Hyperfine Structure ◽  
Correlation Effects ◽  
Expectation Values

scholarly journals HYPERFINE STRUCTURE PARAMETERS FOR COMPLEX ATOMS WITHIN RELATIVISTIC MANY-BODY PERTURBATION THEORY

2021 ◽  
pp. 52-59
Author(s):  
M. Makushkina ◽  
O. Antoshkina ◽  
O. Khetselius
Keyword(s):  
Perturbation Theory ◽  
Hyperfine Structure ◽  
Finite Size ◽  
Structure Parameters ◽  
Radiative Corrections ◽  
Correlation Effects ◽  
Many Body ◽  
Radium Isotope ◽  
Hartree Fock ◽  
Many Body Perturbation Theory

The calculational results for the hyperfine structure (HFS) parameters for the Mn atom (levels of the configuration 3d64s) and  the results of advanced calculating the HFS constants and nuclear quadrupole moment for the radium isotope are obtained on the basis of computing within the relativistic many-body perturbation theory formalism with a correct and effective taking into account the exchange-correlation, relativistic, nuclear and radiative corrections. Analysis of the data shows that an account of the interelectron correlation effects is crucial in the calculation of the hyperfine structure parameters.  The fundamental reason of physically reasonable agreement between theory and experiment is connected with the correct taking into account the inter-electron correlation effects, nuclear (due to the finite size of a nucleus), relativistic and radiative corrections. The key difference between the results of the relativistic Hartree-Fock Dirac-Fock and many-body perturbation theory methods calculations is explained by using the different schemes of taking into account the inter-electron correlations as well as nuclear and radiative ones.

Hyperfine structure operator in the tensorial form of second quantization

Open Physics ◽  
2004 ◽  
Vol 2 (4) ◽  
Author(s):  
Gediminas Gaigalas ◽  
Zenonas Rudzikas ◽  
Oliver Scharf
Keyword(s):  
Hyperfine Structure ◽  
Large Scale ◽  
Hyperfine Interactions ◽  
Matrix Elements ◽  
Correlation Effects ◽  
Second Quantization ◽  
Interaction Operator ◽  
Momentum Theory ◽  
Graphical Technique ◽  
Efficient Program

AbstractThe general tensorial form of the hyperfine interaction operator in the formalism of second quantization is presented. Both diagonal and off-diagnonal matrix elements of the above-mentioned operator are found using an approach based on a combination of second quantization in the coupled tensorial form, angular momentum theory in three spaces (orbital, spin and quasispin) and a generalised graphical technique. This methodology allows us to account for correlation effects efficiently and, therefore, to study the hyperfine interactions in complex many-electron atoms, those with openf-shells included, in a practical manner. All this will lead us to design an efficient program for large scale calculations of hyperfine structure and isotope shift.

What correlation effects are covered by density functional theory?

2000 ◽  
Vol 98 (20) ◽  
pp. 1639-1658 ◽  
Author(s):  
Yuan He, Jurgen Grafenstein, Elfi Kraka,
Keyword(s):  
Density Functional Theory ◽  
Density Functional ◽  
Correlation Effects ◽  
Functional Theory
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