Abstract
This work contains the evaluation of multicenter integrals with Cartesian Gaussian functions occurring in ||ϰψ||2 These integrals have to be used if it is necessary to calculate the lower bounds for eigenvalues with the method of the minimization of the variance [1], Considering the varianceF(ψ) = ||Hψ||2 - (Hψ!| ψ)2, the integrals from (HY, Y) are well known in contrast to those for ||HΨ ||2.
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References
H. Kleindienst and W. Müller, Theor. Chim. Acta (Berl.) 56 (1980)183.
S.F. Boys, Proc. Roy. Soc. A200 (1950)542.
S. Huzinaga, H. Taketa and K.O. Ohata, J. Phys. Soc. (Japan) 21 (1966)2313.
V.R. Saunders, Molecular integrals for Gaussian type functions, NATO ASI Ser. C113 (1983) 1–36, in:Methods in Computational Molecular Physics, ed. G.H.F. Diereksen and S. Wilson (Reidel, Dordrecht, 1983).
S. Ohara and A. Saika, J. Chem. Phys. 84 (1986)3963.
S. Ohara and A. Saika, J. Chem. Phys. 89 (1988)1540.
M. Head-Gordon and J.A. Pople, J. Chem. Phys. 89 (1988)5777.
H.F. King and Th.R. Furlani, J. Comput. Chem. 9 (1988)771.
S. Zimering, J. Math. Phys. 8 (1967)1266.
P.J. Roberts, Proc. Phys. Soc. 89 (1966)67.
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Brinkmann, K., Kleindienst, H. Analytic evaluation of multicenter integrals for gaussian-type orbitals. J Math Chem 6, 267–279 (1991). https://doi.org/10.1007/BF01192585
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DOI: https://doi.org/10.1007/BF01192585