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

• I.I GUSEINOV ^[1]
  1. [1] Onsekiz Mart University Faculty of Arts and Sciences Department of Physics
• Localización: Journal of the Chilean Chemical Society (Boletín de la Sociedad Chilena de Química), ISSN-e 0717-6309, ISSN 0366-1644, Vol. 60, Nº. 2, 2015, págs. 2929-2930
• Idioma: inglés
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• Resumen

  • 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.