%0 Journal Article %1 1751-8121-44-15-155205 %A Durmus, Aysen %D 2011 %J Journal of Physics A: Mathematical and Theoretical %K asymptotic equation iteration mechanics method physics quantum schrodinger solution %N 15 %P 155205 %R 10.1088/1751-8113/44/15/155205 %T Non-relativistic treatment of diatomic molecules interacting with a generalized Kratzer potential in hyperspherical coordinates %U http://stacks.iop.org/1751-8121/44/i=15/a=155205 %V 44 %X 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.

@article{1751-8121-44-15-155205, abstract = {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.}, added-at = {2011-07-13T03:58:54.000+0200}, author = {Durmus, Aysen}, biburl = {https://www.bibsonomy.org/bibtex/26a51fff115105ebd997cedcd89b60e99/drmatusek}, description = {Non-relativistic treatment of diatomic molecules interacting with a generalized Kratzer potential in hyperspherical coordinates}, doi = {10.1088/1751-8113/44/15/155205}, interhash = {3e969f2d16fbec845f41dad1cc7d368f}, intrahash = {6a51fff115105ebd997cedcd89b60e99}, journal = {Journal of Physics A: Mathematical and Theoretical}, keywords = {asymptotic equation iteration mechanics method physics quantum schrodinger solution}, month = {April}, number = 15, pages = 155205, timestamp = {2013-02-17T03:05:30.000+0100}, title = {Non-relativistic treatment of diatomic molecules interacting with a generalized Kratzer potential in hyperspherical coordinates}, url = {http://stacks.iop.org/1751-8121/44/i=15/a=155205}, volume = 44, year = 2011 }