Bound State Solutions of the Schrödinger Equation for a More General Woods—Saxon Potential with Arbitrary l-State

Abstract

The energy spectra and the wave function depending on the c-factor are investigated for a more general Woods—Saxon potential (MGWSP) with an arbitrary l-state. The wave functions are expressed in terms of the Jacobi polynomials. Two potentials are obtained from this MGWSP as the special cases. These special potentials are Hulthen and the standard Woods—Saxon potentials. We also discuss the energy spectrum and wave function for the special cases.