Author(s)

Akpan N. Ikot, Eno J. Ibanga, Oladunjoye A. Awoga, Louis E. Akpabio, Akaninyene D. Antia

Theoretical Physics Group, Department of Physics, University of Uyo-Nigeria, Uyo, Nigeria.

The bound state solutions of the Schr?dinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method are reported. We obtain the energy spectrum and the wave functions with this potential for arbitrary l-state. It is shown that the results of this potential reduced to the standard potentials—Rosen-Morse, Poschl-Teller and Scarf potential as special cases. We also discussed the energy equation and the wave function for these special cases.

Schrodinger Equation; Inverted Hyperbolic Potential; Nikiforov-Uvarov Method

A. Ikot, E. Ibanga, O. Awoga, L. Akpabio and A. Antia, "Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential," Journal of Modern Physics, Vol. 3 No. 12, 2012, pp. 1849-1855. doi: 10.4236/jmp.2012.312232.