The Scattering States of Schrödinger Equation with Hellmann-generalized Morse Potential Model

Within a proper approximation to the centrifugal term, the analytical scattering state of Schrödinger equation for the Hellmann-generalized Morse potential is studied. The normalized analytical radial wave functions are presented and the corresponding scattering phase shifts are derived. Moreover, the bound state energy levels of the studied quantum system are found at the poles of scattering amplitude. Finally, we present some numerical energy levels calculated form energy equation and compare them with exact value.