Solutions of Schr\"odinger Equation with Generalized Inverted Hyperbolic Potential
Mathematical Physics
2015-05-30 v1 math.MP
Quantum Physics
Abstract
We present the bound state solutions of the Schr\"odinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method. We obtain the energy spectrum and the wave function with this potential for arbitrary - state. We show that the results of this potential reduced to the standard known 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
Cite
@article{arxiv.1110.0388,
title = {Solutions of Schr\"odinger Equation with Generalized Inverted Hyperbolic Potential},
author = {Akpan N. Ikot and Oladunjoye A. Awoga and Louis E. Akpabio and Benedict I. Ita},
journal= {arXiv preprint arXiv:1110.0388},
year = {2015}
}
Comments
20pages, 5figures