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, 2011 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 44 Konu: 15
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1088/1751-8113/44/15/155205
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

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.