Non-relativistic treatment of diatomic molecules interacting with a generalized Kratzer potential in hyperspherical coordinates


Durmus A.

Journal of Physics A: Mathematical and Theoretical, cilt.44, sa.15, 2011 (SCI-Expanded) identifier identifier

Özet

We investigate solutions of a non-relativistic wave equation in hyperspherical coordinates for a diatomic molecule system interacting with a generalized Kratzer potential. Rovibrational eigenvalues and corresponding wavefunctions of non-relativistic diatomic molecules have been determined within the framework of the asymptotic iteration method. Certain fundamental conditions for the applications of the asymptotic iteration method, such as a suitable asymptotic form for the wave-function and the termination condition for the iteration process, are discussed. N-dimensional bound state eigenfunction solutions used in studying the dynamical variables of diatomic molecules are obtained in terms of a confluent hypergeometric function and a generalized Laguerre polynomial. This systematic approach is tested by calculating the rovibrational energy spectra of hydrogen and sodium chloride molecules. © 2011 IOP Publishing Ltd.