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

Abstract

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

Keywords:Energy spectra, wave-function, q-deformed hyperbolic Scarf II, q-deformed modified Poschl-Teller, Nikiforov-Uvarov method, a mapping method

DOI: 10.7176/APTA-16-8