One-range addition theorems for combined Coulomb and Yukawa like central and noncentral interaction potentials and their derivatives

Guseinov I.

JOURNAL OF MATHEMATICAL CHEMISTRY, vol.39, no.2, pp.253-258, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 2
  • Publication Date: 2006
  • Doi Number: 10.1007/s10910-005-9030-4
  • Journal Name: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.253-258
  • Çanakkale Onsekiz Mart University Affiliated: No

Abstract

In this work we present the combined one-range addition theorems for arbitrary Coulomb and Yukawa like central and noncentral interaction potentials and their first and second derivatives occurring in the Hartree-Fock-Roothaan approximation and explicitly correlated methods, and also in the study of electric field and its gradient induced by electrons at the nuclei of a molecule. The relationships obtained for addition theorems are valid for the arbitrary parameters of potentials.