TITLE:
Approximate Bound State Solutions for Certain Molecular Potentials
AUTHORS:
Mahmoud Farout, Mohammed Yasin, Sameer M. Ikhdair
KEYWORDS:
Schrödinger Equation, Mobius Potential, Manning-Rosen Potential, Quadratic Yukawa Potential, Hulthén Potential, Bound State Energies, Wave Functions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.4,
April
28,
2021
ABSTRACT: 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.