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

摘要

Using L(α*) -self-frictional Laguerre polynomials (L(α*) -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 ψ(α*) -self-frictional exponential type orbitals (ψ(α*) -SFETOs) and χ -noninteger n Slater type orbitals ( -NISTOs) in terms of χ -integer n STOs (χ -ISTOs) is established, where α* are the integer (α* = α, −∞ α ≤ 2) or noninteger (α* ≠ α, −∞ α 3) SF quantum numbers. The expansion coefficients of these one-range addition theorems are expressed through the overlap integrals of χ -NISTOs.