Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential

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.

DOI: 10.4236/jmp.2012.312232                

Abstract

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.

Keywords

Schrodinger Equation; Inverted Hyperbolic Potential; Nikiforov-Uvarov Method

Conflicts of Interest

The authors declare no conflicts of interest.

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