USING ASYMPTOTIC ITERATION METHOD (AIM) FOR SOLVING DIFFERENTIAL EQUATIONS: CASE STUDY OF VIBRATIONAL STATES OF DIATOMIC MOLECULE

  • N.J. Gyuk Department of Physics, Kaduna State University, Tafawa Balewa Way, Kaduna,
  • M.S. Abubakar Department of Physics, Kaduna State University, Tafawa Balewa Way, Kaduna,
  • S.G. Abdu Department of Physics, Kaduna State University, Tafawa Balewa Way, Kaduna,

Abstract

This paper discusses the new computational technique referred to as the asymptotic iteration method (AIM), and presents numerical computations of exact energy eigenvalues of the Schrödinger equation assuming the Morse potential for some diatomic molecules. The method is used to compute the numerical energies of bound vibrational levels of the 7Li2, H2, and N2 diatomic molecules in the ,  and  electronic states.

Published
2019-09-29
Section
ARTICLES