One-range Addition Theorems for Complete Sets of Modified Exponential Type Orbitals and Noninteger n Slater Functions in Standard Convention


Guseinov I. I.

JOURNAL OF THE CHINESE CHEMICAL SOCIETY, vol.61, no.4, pp.477-480, 2014 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 4
  • Publication Date: 2014
  • Doi Number: 10.1002/jccs.201300369
  • Title of Journal : JOURNAL OF THE CHINESE CHEMICAL SOCIETY
  • Page Numbers: pp.477-480

Abstract

Using the L(pl*) -generalized Laguerre polynomials L(pl*) -GLPs) and phi(pl*) -generalized exponential type orbitals phi(pl*) -GETOs) introduced by the author in standard convention, the one- and two-center onerange addition theorems are established for the complete sets of ((*)) -modified exponential type orbitals (((*)) -METOs) and noninteger n -Slater type orbitals (-NISTOs), where p(l)* = 2l + 2 - * and * is the integer (* = , - < 2) or noninteger (* , - < * < 3) self-frictional quantum number. It should be noted that the origin of the L(pl*) -GLPs, phi(pl*) -GETOs and ((*)) -METOs, therefore, of the one-range addition theorems presented in this work is the Lorentz damping or self-frictional field produced by the particle itself.