Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Allowed permutation symmetry in atomic and molecular wavefunctions.
  Simple examples   It is well known that the allowed wavefunctions for an $N$-electron system
should be antisymmetric with respect to the permutation of any pair of electron
labels. On the other hand, the Hamiltonian for such system is invariant under
any permutation of electron labels and, consequently, its eigenfunctions are
basis for the irreducible representations of the symmetric group $S_N$.Here, we
investigate which symmetry species of the $S_N$ group are compatible with the
antisymmetry principle. We illustrate the conclusions by means of simple
$N$-particle one-dimensional models with harmonic interactions.

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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th