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arxiv: 1110.0388 · v1 · pith:WATEQLDCnew · submitted 2011-10-03 · 🧮 math-ph · math.MP· quant-ph

Solutions of Schr\"odinger Equation with Generalized Inverted Hyperbolic Potential

Akpan N. Ikot , Oladunjoye A. Awoga , Louis E. Akpabio , Benedict I. Ita This is my paper
classification 🧮 math-ph math.MPquant-ph
keywords potentialequationcasesenergyfunctiongeneralizedhyperbolicinverted
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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.

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