Exact Solutions of the Schrödinger Equation for 1,3S States of He Atom with Fues-Kratzer-Type Potential

Yalcin Z., Aktas M., Simsek M.

International Journal of Quantum Chemistry, vol.76, no.5, pp.618-625, 2000 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 76 Issue: 5
  • Publication Date: 2000
  • Journal Name: International Journal of Quantum Chemistry
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.618-625
  • Keywords: Excited states, He atom, Hyperspherical harmonics
  • Ankara Yıldırım Beyazıt University Affiliated: No

Abstract

In this article exact solutions of a two-electron Schrödinger equation for the Coulomb potential were extended to the Fues-Kratzer-type potential: (Ẑ(Ω)/r) + (Â/r2). The wave function ψ(r, Ω) is expanded into generalized Laguerre polynomials and hyperspherical harmonics. An analytical expression of two-electron systems is given for matrix elements and accurate energy eigenvalues of the excited state of 1,3S helium are calculated by using the hyperspherical harmonics method. The present results are compared with previous theoretical calculations and it is concluded that the convergence of energy eigenvalues is faster. © 2000 John Wiley & Sons, Inc.