Exact Solutions of the D-dimensional Schrödinger Equation for a Pseudo-Coulomb Potential Plus Ring-Shaped Potential
Publication Type
Original research
Authors
Sameer M Ikhdair
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 po-tential of the form V (r) = − a r + b r 2 +
β cos 2 θ r 2 sin 2 θ + c. 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 or-thogonal 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.