Addition theorems for Slater-type orbitals and their application to multicenter multielectron integrals of central and noncentral interaction potentials.

@article{Guseinov2003AdditionTF,
  title={Addition theorems for Slater-type orbitals and their application to multicenter multielectron integrals of central and noncentral interaction potentials.},
  author={I. I. Guseinov},
  journal={Journal of molecular modeling},
  year={2003},
  volume={9 3},
  pages={190-4}
}
By the use of complete orthonormal sets of psi(alpha)-ETOs (alpha=1, 0, m1, m2,...) introduced by the author, new addition theorems are derived for STOs and arbitrary central and noncentral interaction potentials (CIPs and NCIPs). The expansion coefficients in these addition theorems are expressed through the Gaunt and Gegenbauer coefficients. Using the addition theorems obtained for STOs and potentials, general formulae in terms of three-center overlap integrals are established for the… CONTINUE READING