Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Benchmark values for molecular three-center integrals arising in the
  Dirac equation   The authors in their previous papers obtained compact, arbitrarily accurate
expressions for two-center one- and two-electron relativistic molecular
integrals expressed over Slater-type orbitals. In this present study, the
accuracy limits of given expressions is examined for three-center nuclear
attraction integrals, which are the first integral set do not have analytically
closed form relations. They are expressed through new molecular auxiliary
functions obtained via Neumann expansion of Coulomb interaction. The numerical
global adaptive method is used to evaluate these integrals for arbitrarily
values of orbital parameters, quantum numbers. Several methods, such as Laplace
expansion of Coulomb interaction, single-center expansion, Fourier
transformation method, have been performed in order to evaluate these integrals
considering the values of principal quantum numbers in the set of positive
integer numbers. This is the first attempts to study the three-center integrals
without any restrictions on quantum numbers and in all ranges of orbital
parameters.

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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph