Approximate analytical bound state solutions of the radial Schrödinger equation are studied for a two-term diatomic molecular potential in terms of the hypergeometric functions for the cases where q ≥ 1 and q = 0. The energy eigenvalues and the corresponding normalized wave functions of the Manning–Rosen potential, the ‘standard’ Hulthén potential and the generalized Morse potential are briefly studied as special cases. It is observed that our analytical results are the same with the ones obtained before.
Description
Journal of Mathematical Chemistry, Volume 50, Number 7 - SpringerLink
%0 Journal Article
%1 springerlink:10.1007/s10910-012-0011-0
%A Arda, Altuğ
%A Sever, Ramazan
%D 2012
%I Springer Netherlands
%J Journal of Mathematical Chemistry
%K equation mechanics physics quantum schrodinger solution
%N 7
%P 1920-1930
%R 10.1007/s10910-012-0011-0
%T Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier
%U http://dx.doi.org/10.1007/s10910-012-0011-0
%V 50
%X Approximate analytical bound state solutions of the radial Schrödinger equation are studied for a two-term diatomic molecular potential in terms of the hypergeometric functions for the cases where q ≥ 1 and q = 0. The energy eigenvalues and the corresponding normalized wave functions of the Manning–Rosen potential, the ‘standard’ Hulthén potential and the generalized Morse potential are briefly studied as special cases. It is observed that our analytical results are the same with the ones obtained before.
@article{springerlink:10.1007/s10910-012-0011-0,
abstract = {Approximate analytical bound state solutions of the radial Schrödinger equation are studied for a two-term diatomic molecular potential in terms of the hypergeometric functions for the cases where q ≥ 1 and q = 0. The energy eigenvalues and the corresponding normalized wave functions of the Manning–Rosen potential, the ‘standard’ Hulthén potential and the generalized Morse potential are briefly studied as special cases. It is observed that our analytical results are the same with the ones obtained before.},
added-at = {2012-08-11T04:39:49.000+0200},
affiliation = {Department of Physics Education, Hacettepe University, 06800 Ankara, Turkey},
author = {Arda, Altuğ and Sever, Ramazan},
biburl = {https://www.bibsonomy.org/bibtex/2816f7024bcc1a2b1363ed577146fe095/drmatusek},
description = {Journal of Mathematical Chemistry, Volume 50, Number 7 - SpringerLink},
doi = {10.1007/s10910-012-0011-0},
interhash = {03c7b4c42f15997a2acb2ac68c2f2fab},
intrahash = {816f7024bcc1a2b1363ed577146fe095},
issn = {0259-9791},
journal = {Journal of Mathematical Chemistry},
keyword = {Chemistry and Materials Science},
keywords = {equation mechanics physics quantum schrodinger solution},
month = aug,
number = 7,
pages = {1920-1930},
publisher = {Springer Netherlands},
timestamp = {2013-03-23T16:35:51.000+0100},
title = {Approximate analytical solutions of a two-term diatomic molecular potential with centrifugal barrier},
url = {http://dx.doi.org/10.1007/s10910-012-0011-0},
volume = 50,
year = 2012
}