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Multicenter integrals over polarization potential operators
Authors:Michael J. Smit
Abstract:Analytic expressions for multicenter integrals over the general one‐particle operator xnylzm| r |k(1−exp(−αr2))n(n′, m′, l′, n≥0, k>2, α>0), employing Cartesian Gaussians, are presented. While until now only P. Schwerdtfeger and H. Silberbach (Phys Rev A 1988, 37, 2834) have succeeded in finding such expressions, using a Laplace transform, we shall show that one can also get them according to the method of L. E. McMurchie and E. R. Davidson (J Comp Phys 1978, 26, 218; J Comp Phys 1981, 44, 289). ©1999 John Wiley & Sons, Inc. Int J Quant Chem 73: 403–416, 1999
Keywords:one‐particle integrals  Cartesian Gaussians  long‐range interaction  core polarization potential  uniform convergence
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