Analytically reduced form for the class of integrals containing multicenter products of 1s hydrogenic orbitals, Coulomb or Yukawa potentials, and plane waves.

Abstract

The entire class of integrals containing a product of N 1s hydrogenic orbitals and M Coulomb or Yukawa potentials (with arguments that are linear combinations of the m\ensuremath{\le}N+M coordinates of integration) with m plane waves is analytically reduced from a 3m-dimensional integral to a (M+N-1)-dimensional integral.