Energy Spectra and Wave Function Analysis of q-Deformed udModified Poschl-Teller and Hyperbolic Scarf II Potentials udUsing NU Method and a Mapping Method

摘要

The solution of Schrodinger equations for q-deformed modified Poschl-Teller and hyperbolic udScarf II potentials are investigated using Nikiforov-Uvarov method and a mapping method. By udapplying a translation of spatial variable non-deformed potentials are mapped on to deformed udpotential or vice versa and as a product the potential’s parameters scaling obtained. The bound udstate energy spectra obtained using NU method are given in the close form and the corresponding udwave functions are formulated in terms of the Jacobi Polynomials. The energy spectra and the udradial wave functions of the system are also produced by a mapping using potential’s parameters udscaling from the non-deformed to the deformed potential.