Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential

Abstract

We present the bound state solutions of the Schrödinger 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.

20pages, 5figures

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