UNIFIED TREATMENT OF ONE- AND TWO-CENTER ONE- RANGE ADDITION THEOREMS FOR COMPLETE ORTHONORMAL SETS OF SELF-FRICTIONAL EXPONENTIAL TYPE ORBITALS AND NONINTEGER n SLATER FUNCTIONS


Guseinov I. I.

JOURNAL OF THE CHILEAN CHEMICAL SOCIETY, vol.60, no.2, pp.2929-2930, 2015 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.4067/s0717-97072015000200014
  • Journal Name: JOURNAL OF THE CHILEAN CHEMICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.2929-2930

Abstract

Using L-(alpha*)-self-frictional Laguerre polynomials L-(alpha*)-SFLPs) introduced by the author in standard convention, the combined theory of one- and two-center one-range addition theorems for complete orthonormal sets of psi((alpha*))-self-frictional exponential type orbitals psi((alpha*))-SFETOs) and chi-noninteger n Slater type orbitals ( -NISTOs) in terms of chi -integer n STOs (chi-ISTOs) is established, where alpha* are the integer (alpha* = alpha, -infinity < alpha <= 2) or noninteger (alpha* not equal alpha, -infinity < alpha < 3) SF quantum numbers. The expansion coefficients of these one-range addition theorems are expressed through the overlap integrals of chi-NISTOs .