Author(s)

Mahmoud Farout^1*, Mohammed Yasin^2*, Sameer M. Ikhdair^1,3

¹Department of Physics, An-Najah National University, Nablus, Palestine.
²Department of Mathematics, An-Najah National University, Nablus, Palestine.
³Department of Electrical Engineering, Near East University, Nicosia, Northern Cyprus, Turkey.

We present solutions of the Schrodinger equation with superposition of Manning-Rosen plus inversely Mobius square plus quadratic Yukawa potentials using parametric Nikiforov Uvarov method along with an approximation to the centrifugal term. The bound state energy eigenvalues for any angular momentum quantum number l and the corresponding un-normalized wave functions are calculated. The mixed potential which in some particular cases gives the solutions for different potentials: the Manning-Rosen, the Mobius square, the inversely quadratic Yukawa and the Hulthén potentials along with their bound state energies are obtained.

Schrödinger Equation, Mobius Potential, Manning-Rosen Potential, Quadratic Yukawa Potential, Hulthén Potential, Bound State Energies, Wave Functions

Farout, M. , Yasin, M. and Ikhdair, S. (2021) Approximate Bound State Solutions for Certain Molecular Potentials. Journal of Applied Mathematics and Physics, 9, 736-750. doi: 10.4236/jamp.2021.94052.