Abstract
In this work, a member of a class of potentials corresponding to the reduction of is studied, and thus the Manning-Rosen potential is recovered. The wave function and the scattering matrix of the system with this potential were determined using the general expression given in (Kerimov and Seckin-Gorgun, 2002). SO(2,1) ⊃ SO(1,1)
Keywords:
Algebraic approach, Ginocchio potential class, Manning Rosen potential, Natanzon potentials, Onedimensional scattering, Scattering theory.