Ro-vibrational energy analysis of Manning-Rosen and Pöschl-Teller potentials with a new improved approximation in the centrifugal term

Abstract

Two physically important potentials (Manning-Rosen and Pöschl-Teller) are considered for the ro-vibrational energy in diatomic molecules. An improved new approximation is invoked for the centrifugal term, which is then used for their solution within the Nikiforov-Uvarov framework. This employs a recently proposed scheme, which combines the two widely used Greene-Aldrich and Pekeris-type approximations. Thus, approximate analytical expressions are derived for eigenvalues and eigenfunctions. The energies are examined with respect to two approximation parameters, $\lambda$ and $\nu$. The original approximations are recovered for certain specials values of these two parameters. This offers a simple effective scheme for these and other relevant potentials in quantum mechanics.

16 pages, 4 figures, 2 tables

References in corpus (3)

• Approximate l-state solutions of the D-dimensional Schrodinger equation for Manning-Rosen potential
• Ro-vibrational energy and thermodynamic properties of molecules subjected to Deng-Fan potential through an improved approximation
• Studies on bound-state spectra of Manning-Rosen potential

Cited by in corpus (1)

• Analytical solution of $D$ dimensional Schrödinger equation for Eckart potential with a new improved approximation in centrifugal term