Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three- and four-electron integrals involving Gaussian geminals:
  fundamental integrals, upper bounds and recurrence relations   We report the three main ingredients to calculate three- and four-electron
integrals over Gaussian basis functions involving Gaussian geminal operators:
fundamental integrals, upper bounds, and recurrence relations. In particular,
we consider the three- and four-electron integrals that may arise in
explicitly-correlated F12 methods. A straightforward method to obtain the
fundamental integrals is given. We derive vertical, transfer and horizontal
recurrence relations to build up angular momentum over the centers. Strong,
simple and scaling-consistent upper bounds are also reported. This latest
ingredient allows to compute only the $\order{N^2}$ significant three- and
four-electron integrals, avoiding the computation of the very large number of
negligible integrals.

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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph