Analytical solutions of the Schrödinger equation with the Manning-Rosen potential plus a Ring-Shaped like potential

Abstract

The analytical solution of the Schrödinger equation for the Manning-Rosen potential plus a ring-shaped like potential is obtained by applying the Nikiforov-Uvarov method by using the improved approximation scheme to the centrifugal potential for arbitrary $l$ states. The energy levels are worked out and the corresponding normalized eigenfunctions are obtained in terms of orthogonal polynomials for arbitrary $l$ states.

19 pages, 5 figures, 2 tables

References in corpus (4)

• Supersymmetry and Quantum Mechanics
• Analytical solutions of the Schrödinger equation with the Woods-Saxon potential for arbitrary $l$ state
• Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential
• The Schrodinger equation with Hulthen potential plus ring-shaped potential

Cited by in corpus (7)

• Analytical solutions of the Klein-Fock-Gordon equation with the Manning-Rosen potential plus a Ring-Shaped like potential
• Bound State Solution of the Klein-Fock-Gordon equation with the Hulthén plus a Ring-Shaped like potential within SUSY quantum mechanics
• Analytical Solutions Of The Schrödinger Equation For The Hulthén Potential Within SUSY Quantum Mechanics
• Bound states of the $D$-dimensional Schrödinger equation for the generalized Woods-Saxon potential
• Analytical solution of $D$ dimensional Schrödinger equation for Eckart potential with a new improved approximation in centrifugal term
• Ro-vibrational energy analysis of Manning-Rosen and Pöschl-Teller potentials with a new improved approximation in the centrifugal term
• The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential