An improved approximation to l-wave bound states of the Manning-Rosen potential by Nikiforov-Uvarov method

Details An improved approximation to l-wave bound states of the Manning-Rosen potential by Nikiforov-Uvarov method An improved approximation to l-wave bound states of the Manning-Rosen potential by Nikiforov-Uvarov method

2008-07-14

arxiv.org/abs/0807.2085v1

Physics

Quantum Physics

17 pages

Scientific paper

A new approximation scheme to the centrifugal term is proposed to obtain the $l\neq 0$ solutions of the Schr\"{o}dinger equation with the Manning-Rosen potential. We also find the corresponding normalized wave functions in terms of the Jacobi polynomials. To show the accuracy of the new approximation scheme, we calculate the energy eigenvalues numerically for arbitrary quantum numbers $n$ and $l$ with two different values of the potential parameter $\alpha .$ The bound state energies of various states for a few $% HCl,$ $CH,$ $LiH$ and $CO$ diatomic molecules are also calculated. The numerical results are in good agreement with those obtained by using program based on a numerical integration procedure. Our solution can be also reduced to the s-wave ($l=0$) case and to the Hulth\'{e}n potential case.

Affiliated with

Also associated with

No associations

Rating

An improved approximation to l-wave bound states of the Manning-Rosen potential by Nikiforov-Uvarov method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An improved approximation to l-wave bound states of the Manning-Rosen potential by Nikiforov-Uvarov method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An improved approximation to l-wave bound states of the Manning-Rosen potential by Nikiforov-Uvarov method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442772