Exact Solutions of the D-dimensional Schrödinger Equation for a Pseudo-Coulomb Potential Plus Ring-Shaped Potential

Sameer M. Ikhdair

Chinese Journal of Physics

46卷3期（2008 / 06 / 01）

291 - 306

英文

We present the exact energy bound state solutions of the Schrödinger equation in D-dimensions for an alternative (often used) pseudo-Coulomb potential plus ring-shaped potential of the form V (The equation is abbreviated) The solution was obtained analytically by means of the Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the D-dimensional radial and angular parts of the wave functions in terms of orthogonal polynomials. The total energy of the system is different from the pseudo-Coulomb potential because of the contribution of the angular part. The general results obtained in this work can be reduced to the well-known three-dimensional forms given in the literature.