Non-relativistic treatment of diatomic molecules interacting with a generalized Kratzer potential in hyperspherical coordinates
Journal of Physics A: Mathematical and Theoretical, cilt.44, sa.15, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 15
- Basım Tarihi: 2011
- Doi Numarası: 10.1088/1751-8113/44/15/155205
- Dergi Adı: Journal of Physics A: Mathematical and Theoretical
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Erciyes Üniversitesi Adresli: Evet
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.