Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calculation of Araki-Sucher correction for many-electron systems   In this paper we consider the evaluation of the Araki-Sucher correction for
arbitrary many-electron atomic and molecular systems. This contribution appears
in the leading order quantum electrodynamics corrections to the energy of a
bound state. The conventional one-electron basis set of Gaussian-type orbitals
(GTOs) is adopted; this leads to two-electron matrix elements which are
evaluated with help of generalised the McMurchie-Davidson scheme. We also
consider the convergence of the results towards the complete basis set. A
rigorous analytic result for the convergence rate is obtained and verified by
comparing with independent numerical values for the helium atom. Finally, we
present a selection of numerical examples and compare our results with the
available reference data for small systems. In contrast with other methods used
for the evaluation of the Araki-Sucher correction, our method is not restricted
to few-electron atoms or molecules. This is illustrated by calculations for
several many-electron atoms and molecules.

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The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con