Rotational and vibrational diatomic molecule in the Klein-Gordon equation with hyperbolic scalar and vector potentials
Quantum Physics
2015-05-13 v1
Abstract
We present an approximate analytic solution of the Klein-Gordon equation in the presence of equal scalar and vector generalized deformed hyperbolic potential functions by means of parameteric generalization of the Nikiforov-Uvarov method. We obtain the approximate bound state rotational-vibrational (ro-vibrational) energy levels and the corresponding normalized wave functions expressed in terms of the Jacobi polynomial for a spin-zero particle in a closed form. Special cases are studied including the non-relativistic solutions obtained by appropriate choice of parameters and also the s-wave solutions.
Keywords
Cite
@article{arxiv.0905.2867,
title = {Rotational and vibrational diatomic molecule in the Klein-Gordon equation with hyperbolic scalar and vector potentials},
author = {Sameer M. Ikhdair},
journal= {arXiv preprint arXiv:0905.2867},
year = {2015}
}
Comments
25 pages, 2 Figures