Improved analytical approximation to arbitrary l-state solutions of the Schrodinger equation ¨ for the hyperbolical potentials
- Publication Type
- Original research
- Authors
- Sameer M. Ikhdair , Ramazan Sever
The Schr¨odinger equation for the rotational-vibrational (ro-vibrational) motion of a diatomic molecule with empirical potential functions is solved approximately by means of the Nikiforov-Uvarov method. The approximate energy spectra and the corresponding normalized total wavefunctions are calculated in closed form and expressed in terms of the hypergeometric functions or Jacobi polynomials P(μ,ν) n (x), where μ > −1,ν > −1 and x ∈ [−1, +1]. The s-waves analytic solution is obtained. The numerical energy eigenvalues for selected H2 and Ar2 molecules are also calculated and compared with the previous models and experiments.
Journal
- Title
- Ann. Phys. (Berlin) 18, No. 10 – 11, 747 – 758
- Publisher
- --
- Publisher Country
- Palestine
- Publication Type
- Both (Printed and Online)
- Volume
- --
- Year
- 2009
- Pages
- --