Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential

Details Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential

2011-10-03

arxiv.org/abs/1110.0388v1

Physics

Mathematical Physics

20pages, 5figures

Scientific paper

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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