Journal
CHEMICAL PHYSICS LETTERS
Volume 330, Issue 1-2, Pages 175-179Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0009-2614(00)01067-8
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Formulas are developed for evaluating the three-electron integrals, which appear in the transcorrelated method using a frozen Gaussian geminal. First, we derive expressions with intermediates, in which the angular momentum indices of the inter-electronic operators are temporarily increased. Following the inspection on the factorization property, we further derive more straightforward recurrence relations corresponding to the Obara-Saika one for electron repulsion integrals. It is shown that the relations can be applied outside the contraction loops over geminal primitives by introducing three-indexed auxiliary integrals. (C) 2000 Elsevier Science B.V. All rights reserved.
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