Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation properties of basis functions in variational three-body
  problem   A new variational basis with well-behaved local approximation properties and
multiple output is proposed for Coulomb systems. The trial function has proper
behaviour at all Coulomb centres. Nonlinear asymptotic parameters are
introduced softly: they do not destroy the self-optimized local behaviour of
the wave function at vanishing interparticle distances. The diagonalization of
the Hamiltonian on a finite Hilbert subspace gives a number of meaningful
eigenvalues. Thus together with the ground state some excited states are also
reliably approximated. For three-body systems all matrix elements are
analytically obtainable up to rational functions of asymptotic parameters. The
feasibility of the new basis usage has been proved by a pilot computer algebra
calculation. The negative sign of an electron pair local energy at their
Coulomb centre has been revealed.
  PACS number: 31.15.Pf

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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph