This research’s aim are to determine energy spectra and wave function of
Schrodinger Equation in D-Dimensions for non central shape invariant potentials,
that is, Scarf hyperbolic plus non central Poschl-Teller potential and Scarf
trigonometric plus non central Rosen-Morse potential with Nikivarof-Uvarov
method. Nikivarof-Uvarov method are the method for solving a second order of
differential equation which transform that equation into hypergeometric equation
using a correct subtitution of variable.
Research was done through a literature studies to solve the Schrodinger
equation D-Dimensions analitically for Scarf hyperbolic plus non central Poschl-
Teller potential and Scarf trigonometric plus non central Rosen-Morse potential.
Energy spectra and wave function obtained by Nikivarof-Uvarov method. After
obtaining energy levels and compared with the other methods in the special
conditions, the wave function can be obtained by Nikivarof-Uvarov method.
Energy spectra of the Scarf hyperbolic plus non-central Poschl Teller
potential and Scarf trigonometric plus non-central Rosen Morse potential on DDimensions
which obtained by Nikiforov-Uvarof methods have a results
consistently with previous research on special condition. Energy spectra and wave
functions of both combination of potentials are determined approximately for the
value of orbital quantum number l ≠ 0.
Keywords: Schrodinger Equation in D-Dimensions, Non Central Shape Invariant
Potentials, and Nikivarof-Uvarov Method
