P. Carsky et M. Polasek, EVALUATION OF MOLECULAR INTEGRALS IN A MIXED GAUSSIAN AND PLANE-WAVE BASIS BY RYS QUADRATURE, Journal of computational physics, 143(1), 1998, pp. 266-277
We report on the use of Rys numerical quadrature for the calculation o
f two-electron exchange integrals containing two Gaussians and two pla
ne-wave functions, and two-electron integrals containing three Gaussia
ns and one plane-wave function. Generally, the Rys polynomials for thi
s mixed basis set are complex. We present formulas for obtaining their
roots and weights that are also generally complex. Rys numerical quad
rature provides an alternative method for calculation of integrals of
this type that are encountered in the electron-molecule scattering the
ory. (C) 1998 Academic Press.