Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Angular Fock coefficients. Fixing the errors, and further development   The angular coefficients $\psi_{k,p}(\alpha,\theta)$ of the Fock expansion
characterizing the S-state wave function of the two-electron atomic system, are
calculated in hyperspherical angular coordinates $\alpha$ and $\theta$. To
solve the problem the Fock recurrence relations separated into the independent
individual equations associated with definite power $j$ of the nucleus charge
$Z$, are applied. The "pure" $j$-components of the angular Fock coefficients,
orthogonal to of the hyperspherical harmonics $Y_{kl}$, are found for even
values of $k$. To this end, the specific coupling equation is proposed and
applied. Effective techniques for solving the individual equations with
simplest nonseparable and separable right-hand sides are proposed. Some
mistakes/misprints made earlier in representations of $\psi_{2,0}$, were noted
and corrected. All $j$-components of $\psi_{4,1}$ and the majority of
components and subcomponents of $\psi_{3,0}$ are calculated and presented for
the first time. All calculations were carried out with the help of the Wolfram
\emph{Mathematica}.

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The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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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: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol