Use of radial parts of complete orthonormal sets of exponential type orbitals in evaluation of self-frictional multipole transition radial matrix elements in standard convention


Guseinov I. I. , Mamedov B. A.

ASTROPHYSICS AND SPACE SCIENCE, vol.357, no.1, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 357 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.1007/s10509-015-2241-7
  • Title of Journal : ASTROPHYSICS AND SPACE SCIENCE

Abstract

By the use of radial parts of complete orthonormal sets of chi((pl*))-self-frictional exponential type orbitals (psi((pl*))-SFETOs) constructed from the L-(pl*)-SF Laguerre polynomials (L-(pl*)-SFLPs) in standard convention introduced by one of the authors, a method is suggested for evaluating SF multipole transition radial (SFMTR) matrix elements of the hydrogen-like atoms in standard convention, where p(l)* = 2l + 2 - alpha* and alpha* are the integer (alpha* = alpha, -infinity < alpha <= 2) and noninteger (alpha* not equal alpha, -infinity < alpha < 3) SF quantum numbers. The effectiveness and accuracy of the proposed analytical expressions for SFMTR matrix elements are shown by calculation of concrete cases.