High Precision Relativistic Atomic Structure Calculations Using the Finite Basis Set Approximation

1991 ◽  
pp. 83-123 ◽  
Author(s):  
H. M. Quiney
Keyword(s):  
High Precision ◽  
Atomic Structure ◽  
Finite Basis ◽  
Basis Set ◽  
Atomic Structure Calculations ◽  
Set Approximation ◽  
Structure Calculations

High-precision relativistic atomic structure calculations and the EBIT: Tests of quantum electrodynamics in highly charged ions

2008 ◽  
Vol 86 (1) ◽  
pp. 33-43 ◽  
Author(s):  
K T Cheng ◽  
M H Chen ◽  
W R Johnson ◽  
J Sapirstein
Keyword(s):  
High Precision ◽  
Atomic Structure ◽  
Quantum Electrodynamics ◽  
Ion Trap ◽  
Strong Field ◽  
Energy State ◽  
Negative Energy ◽  
Configuration Interaction Method ◽  
Atomic Structure Calculations ◽  
Structure Calculations

High-precision relativistic atomic-structure calculations based on the relativistic many-body perturbation theory and the relativistic configuration-interaction method are shown to provide stringent tests of strong-field quantum electrodynamic (QED) corrections when compared with electron beam ion trap measurements of the spectra of highly charged, many-electron ions. It is further shown that theory and experiment are accurate enough to test not just the leading screened QED corrections but also smaller contributions from higher order Breit interactions, relaxed-core QED corrections, two-loop Lamb shifts, negative-energy state corrections, nuclear polarizations, and nuclear recoils. PACS Nos. 31.30.Jv, 32.30.Rj, 31.25.–v, 31.15.Ar

scholarly journals Towards B-Spline Atomic Structure Calculations

Atoms ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 50
Author(s):  
Charlotte Froese Fischer
Keyword(s):  
Atomic Structure ◽  
Bound States ◽  
Virial Theorem ◽  
B Spline ◽  
B Splines ◽  
Self Consistent ◽  
History Of ◽  
Consistent Method ◽  
Atomic Structure Calculations ◽  
Structure Calculations

The paper reviews the history of B-spline methods for atomic structure calculations for bound states. It highlights various aspects of the variational method, particularly with regard to the orthogonality requirements, the iterative self-consistent method, the eigenvalue problem, and the related sphf, dbsr-hf, and spmchf programs. B-splines facilitate the mapping of solutions from one grid to another. The following paper describes a two-stage approach where the goal of the first stage is to determine parameters of the problem, such as the range and approximate values of the orbitals, after which the level of accuracy is raised. Once convergence has been achieved the Virial Theorem, which is evaluated as a check for accuracy. For exact solutions, the V/T ratio for a non-relativistic calculation is −2.

scholarly journals Atomic Structure Calculations and Study of Plasma Parameters of Al-Like Ions

Atoms ◽  
2016 ◽  
Vol 4 (3) ◽  
pp. 22 ◽  
Author(s):  
Arun Goyal ◽  
Indu Khatri ◽  
Avnindra Singh ◽  
Man Mohan ◽  
Rinku Sharma ◽  
...  
Keyword(s):  
Atomic Structure ◽  
Plasma Parameters ◽  
Atomic Structure Calculations ◽  
Structure Calculations

Relativistic atomic structure calculations and study of plasma parameters for Na-like Se XXIV

2019 ◽  
Vol 26 (6) ◽  
pp. 062704 ◽  
Author(s):  
A. K. Singh ◽  
Dishu Dawra ◽  
Mayank Dimri ◽  
Alok K. S. Jha ◽  
Man Mohan
Keyword(s):  
Atomic Structure ◽  
Plasma Parameters ◽  
Atomic Structure Calculations ◽  
Structure Calculations
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