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Recursion formula for electron repulsion integrals over Hermite polynomials
Authors:G. D. Fletcher
Abstract:A method for computing electron repulsion integrals over contracted Gaussian functions is described in which intermediate integrals over Hermite polynomials are generated by a “pre‐Hermite” recursion (PHR) step before the conversion to regular integrals. This greatly reduces the floating‐point operation counts inside the contraction loops, where only simple “scaling”‐type operations are required, making the method efficient for contracted Gaussians, particularly of high angular momentum. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006
Keywords:electron repulsion integral  contracted Cartesian Gaussian  Hermite polynomial  recursion formula  bra‐ket notation
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