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Reducing the computational load - atomic multiconfiguration calculations based on configuration state function generators

delete2023-02-01
delete11
PRE
AI
Y
Yanting Li
K
Kai Wang
R
R. Si
M
Michel Godefroid
G
Gediminas Gaigalas
C
Chong Yang Chen
P
Per Jönsson *
DOI:10.1016/j.cpc.2022.108562delete
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摘要

摘要

En 中文
In configuration interaction (CI) calculations the atomic wave functions are given as expansions over configuration state functions (CSFs) built on relativistic one-electron orbitals. The expansion coefficients of the configuration state functions are obtained by constructing and diagonalizing the Hamiltonian matrix. Here we show how a regrouping of the configuration state functions and the introduction of configuration state function generators (CSFGs) allow for a substantial reduction of the computational load in relativistic CI calculations. The computational methodology based on configuration state function generators, recently implemented in the General Relativistic Atomic Structure package (Grasp2018, Froese Fischer et al. (2019) [16]), is applied to a number of atomic systems and correlation models with increasing sets of oneelectron orbitals. We demonstrate a reduction of the CPU time with factors between 10 and 14 for the largest CI calculations. The inclusion of the Breit interaction into the calculations is time consuming. By applying restrictions on the Breit integrals we show that it is possible to further reduce the CPU times with factors between 2 and 3, with negligible changes to the computed excitation energies. We also demonstrate that the introduction of configuration state function generators allows for efficient a priori condensation techniques, with reductions of the expansions sizes with factors between 1.5 and 2.5 and the CPU time with factors between 2.5 and 4.5, again with negligible changes to the excitation energies. In total we demonstrate reductions of the CPU time with factors up to 68 for CI calculations based on configuration state function generators, restrictions on the Breit integrals and with a priori condensed expansions compared to ordinary CI calculations without restrictions on the Breit integrals and with full expansions. Further perspectives of the new methodology based on configuration state function generators are given. (c) 2022 Published by Elsevier B.V.
Keyword:
Configuration interaction
Configuration state function generators
Spin-angular integration
Breit interaction
Condensation

期刊

Computer Physics Communications 封面图
Computer Physics Communications
IF:
3.4
论文数:
1.2W
被引数:
3.7W

机构

H
Hebei University
学者数:
1.5W
论文数: 7.8K
被引数: 1.0W
F
fudan university
学者数:
11.8W
论文数: 7.7W
被引数: 121
M
Malmo University
学者数:
1.9K
论文数: 1.8K
被引数: 19
U
universite libre de bruxelles
学者数:
2.0W
论文数: 1.7W
被引数: 27
C
chinese academy of sciences
学者数:
56.7W
论文数: 45.0W
被引数: 704
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