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Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential (1110.0388v1)

Published 3 Oct 2011 in math-ph, math.MP, and quant-ph

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.

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